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stat664 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/664.png | In the physical education training at school, a student's 7 results of throwing a medicine ball are shown in the statistical chart. What is the mode of the 7 results? | C | ['9.5m', '9.6m', '9.7m', '10.1m'] | multi_choice |
stat666 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/666.png | The "Compulsory Education Curriculum Plan (2022 Edition)" emphasizes in the section on improving educational evaluation: Strengthen literacy-oriented approaches, focus on the assessment of correct values, essential qualities, and key abilities, conduct comprehensive quality evaluations, and respond positively to calls for action. At the end of the term, conduct comprehensive quality evaluations of students based on morality, intelligence, physical education, aesthetics, and labor. Determine the comprehensive score using a ratio of 2:3:2:2:1 for morality, intelligence, physical education, aesthetics, and labor. Based on the scores outlined in the chart, what is Xiao Liang's comprehensive quality evaluation score for the semester? | C. 9 points | ['7 points', '8 points', '9 points', '10 points'] | multi_choice |
stat667 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/667.png | In order to improve students' computational abilities, a school organized an activity themed 'Calculate and Shine.' The scores of 10 students from a certain class are shown in the chart. Which of the following conclusions is incorrect? | D | ['The mode is 90 points', 'The median is 90 points', 'The average score is 91 points', 'The variance is 15'] | multi_choice |
stat67 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/67.png | The frequency histogram of the number of rope skips per minute for several seventh-grade students is shown in the figure. When the data is grouped, the group width is 25. The frequency of the last group from left to right is _____. | 0.2 | NULL | free_form |
stat670 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/670.png | As shown in the diagram, it represents the weather conditions of a certain city over 7 days. What are the median and mode of the highest temperatures over these 7 days? | B. 26, 28 | ['25.5, 27', '26, 28', '26.5, 27', '28, 28'] | multi_choice |
stat672 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/672.png | 4. An opaque box contains a total of 20 small balls that are red and white, indistinguishable except for their color. A ball is randomly drawn, its color is recorded, then it's returned to the box and thoroughly mixed. Another ball is then randomly drawn. Below are the experimental results from a mathematics study group conducting the above ball-drawing activity. Which of the following inferences is reasonable? ( ) | C | ['When the number of trials is 300, the number of times a red ball is drawn is 99, so the probability of drawing a red ball is 0.33.', 'If the above experiment is repeated, the number of times a red ball is drawn in 500 trials will definitely be 0.40.', 'As the number of trials increases, the frequency of drawing a red ball approaches 0.35, indicating stability, so the probability of drawing a red ball can be estimated to be 0.35.', 'Based on the experimental results, it can be calculated that there are 7 red balls in the box.'] | multi_choice |
stat673 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/673.png | In a survey about the preferences of 7th-grade students in a certain school regarding basketball, volleyball, and football, the investigator created an incomplete pie chart of the statistical data, as shown in the figure. It is known that 40 students like football. How many students like volleyball? | D. 24 people | ['50 people', '45 people', '36 people', '24 people'] | multi_choice |
stat674 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/674.png | 'The 'Three Rural Issues' refer to agriculture, rural areas, and farmers. With the resolution of the 'Three Rural Issues,' a farmer's annual income has changed significantly over the past two years. It is known that the income of the year before last and last year was 40,000 yuan and 60,000 yuan, respectively. The following pie charts are based on the proportions of annual income contributed by three crops (labeled ①, ②, and ③) for each year. Which of the following four conclusions derived from the pie chart is correct?' | A | ['The income from crop ③ last year was 19,500 yuan', 'The income from crop ② the year before last was 21,000 yuan', 'The proportion of income from crop ① last year was larger than the year before last', 'The income from crop ① was the same for both last year and the year before last'] | multi_choice |
stat675 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/675.png | Population aging is a global hot topic. The chart below shows the changes in the scale of the elderly population and the aging rate in China from 1982 to 2020. Based on the data in the chart, which of the following statements is incorrect? | B | ['Since 1982, the elderly population in China has been continuously increasing.', 'From 2000 to 2010, the increase in the elderly population was higher than that from 2010 to 2020.', 'According to the current growth trend, the aging rate in China may reach 18% or more by 2030.', 'With the continuous rise in the aging rate, the government needs to strengthen the establishment of a sound elderly care system.'] | multi_choice |
stat676 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/676.png | As shown in the figure, in a 3×3 square grid, three small squares have already been painted black. If one more white small square is randomly painted black (each white small square has an equal probability of being painted black), what is the probability of painting square ①? ( ) | B | ['1/9', '1/6', '2/9', '1/3'] | multi_choice |
stat677 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/677.png | The diagram on the right displays two pie charts. Which of the following statements is incorrect? ( ) | C | ['The male workers in Factory A account for 3/5 of the total number of workers.', 'The female workers in Factory B account for 3/10 of the total number of workers.', 'The female workers in Factory A are definitely more than the female workers in Factory B.', 'The number of male workers in Factory A and Factory B might be the same.'] | multi_choice |
stat678 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/678.png | A student conducted an experiment titled 'Using Frequency to Estimate Probability.' They recorded the frequency of a specific outcome and plotted it as a line chart, as shown in the figure. Among the following experiments, the one most likely matching these experimental results is ( ).
A. Tossing a coin with heads facing up
B. Playing 'Rock-Paper-Scissors' and randomly choosing rock
C. Selecting a positive integer and obtaining a multiple of 4
D. Rolling a die to get the number 6 on the upward face | D | ['Tossing a coin, the probability of heads is 1/2', 'Playing rock-paper-scissors, the probability of getting rock is 1/3', 'Taking any positive integer, the probability of getting a multiple of 4 is 1/4', 'Tossing a die, the probability of getting a 6 is 1/6'] | multi_choice |
stat679 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/679.png | A middle school conducted a random sample survey on the intention of extended service course selection, requiring respondents to choose only one of the options. Based on the collected data, an incomplete statistical chart was drawn. Then, which of the following statements is incorrect? ( ) | B | ['The sample size of this survey is 200.', 'Among the 1200 students in the school, it is estimated that 400 students chose basketball.', 'In the pie chart, the angle corresponding to the science class is 144°.', 'Among the surveyed students, the number of students who chose painting accounts for 20%.'] | multi_choice |
stat68 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/68.png | In a middle school athletics meet, the results of 15 male high jump athletes are shown in the figure. What is the median of the athletes' scores? | 165 | NULL | free_form |
stat680 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/680.png | As shown in the figure, on the number line, points A, B, and C represent the numbers -3, 1, and 3, respectively. If a point D is taken arbitrarily on the line segment AC, what is the probability that |BD| ≤ 2? | B. 2/3 | ['1/3', '2/3', '1/2', '3/4'] | multi_choice |
stat681 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/681.png | Based on the statistical chart, which of the following conclusions is correct?
A. During these 6 years, the annual growth rate of Yunnan Province's total economic output has always maintained growth.
B. During these 6 years, Yunnan Province's total economic output in 2023 doubled compared to 2018.
C. During these 6 years, Yunnan Province's total economic output grew at a uniform rate.
D. During these 6 years, the average total economic output of Yunnan Province exceeded 2.72 trillion yuan. | C | ["In these six years, the average annual growth rate of Yunnan's total economic volume has increased.", "In these six years, Yunnan's total economic volume in 2023 is the same as in 2018.", "In these six years, Yunnan's total economic volume has increased year by year.", 'In these six years, the average total economic volume of Yunnan has exceeded 2.72 trillion yuan.'] | multi_choice |
stat684 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/684.png | The line chart below represents the temperature at 10 specific times from 7:00 to 16:00 in a certain city on a particular day. Which of the following statements is incorrect?
A. The range of temperatures from 7:00 to 16:00 is 8°C.
B. The mode of temperatures from 7:00 to 16:00 is 9°C.
C. The median of temperatures from 7:00 to 16:00 is 6.5°C.
D. The mean of temperatures from 7:00 to 16:00 is 5.6°C. | B | ['The temperature range from 7:00 to 16:00 is 8°C.', 'The mode of the temperature from 7:00 to 16:00 is 9°C.', 'The median temperature from 7:00 to 16:00 is 6.5°C.', 'The average temperature from 7:00 to 16:00 is 5.6°C.'] | multi_choice |
stat686 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/686.png | As shown in the figure, it is a line chart of the monthly extracurricular reading quantity of all students in a certain class from January to August of the year. Which of the following statements is correct? ( ) | A | ['The median number of readings per month is 58', 'The mode of the number of readings per month is 42', 'The average number of readings per month is 50', 'The range of the number of readings per month is 65'] | multi_choice |
stat687 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/687.png | The 'Spring Bud Project' is a social welfare activity initiated by the China Children and Teenagers' Foundation under the leadership of the All-China Women's Federation. Its aim is to help girls from poor families complete their education successfully. A high school saw widespread participation from its teachers, who actively donated to this cause. The donation statistics from 50 teachers in the school are shown in the chart below. What are the mode and median of their donation amounts, respectively?
A. ¥200, ¥100
B. ¥100, ¥200
C. ¥200, ¥150
D. ¥100, ¥150 | B | ['200 yuan, 100 yuan', '100 yuan, 200 yuan', '200 yuan, 150 yuan', '100 yuan, 150 yuan'] | multi_choice |
stat688 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/688.png | In the physical education exam, the sports scores of 8 students in a certain class are shown in the chart. The mode and median of this data set are respectively ( ). | B | ['48, 48', '49, 48.5', '49, 49', '49, 48'] | multi_choice |
stat689 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/689.png | As shown in the figure, there is a circle and its inscribed quadrilateral ABCD in a plane. If a point is randomly taken on the circumference of the circle, and the probability that the point is taken from arc BCD is 5/12, then the degree of ∠C is (). | C | ['112.5°', '144°', '105°', '150°'] | multi_choice |
stat69 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/69.png | It is known that the shooting scores of Team Member A and Team Member B are shown in the diagram. Let the variances of their shooting scores be sA² and sB², respectively. Then, sA² ____ sB². (Fill in “>”, “=”, or “<”) | > | NULL | free_form |
stat693 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/693.png | Wang Li conducted an experiment to estimate probabilities using frequencies. She recorded the frequency of a particular outcome and created a statistical chart as shown below. The experiment is most likely about ( ).
A. A trial where 'a card is randomly drawn from a deck containing 2 red hearts and 1 black spade (all cards are identical except for their suits), and the card drawn is a black spade.'
B. A trial involving 'the frequency study of 50 students where 2 students share the same birthday (month and day) and year.'
C. A trial where 'a fair coin is tossed, and the outcome is heads up.'
D. A trial where 'a fair six-sided die is rolled, and the outcome is a 1 on the top face.' | A | ['An experiment of drawing one card randomly from a box containing 26 black peach cards and 11 red peach cards (all cards except the color are the same), and this card is black peach.', 'An experiment of having 50 students, and two of them have the same birthday.', 'An experiment of flipping a coin and getting heads.', 'An experiment of rolling a fair six-sided die and getting a 1.'] | multi_choice |
stat694 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/694.png | Use the two freely rotating spinners shown in the diagram to play the 'Match Purple' game: spin the two spinners separately. If one spinner lands on red and the other lands on blue, purple can be matched. What is the probability of matching purple ( )? | D. 1/2 | ['1', '3/4', '1/3', '1/2'] | multi_choice |
stat695 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/695.png | To evaluate the academic performance of ninth-grade students and make necessary adjustments before the upcoming high school entrance examination, a middle school extracted the scores of some students who participated in the exam as a sample for analysis and created two incomplete statistical charts as shown. If the ninth grade of the school has a total of 1200 students who participated in this exam, approximately how many students in the ninth grade achieved an 'Excellent' grade? | B. 240 students | ['120 students', '240 students', '360 students', '480 students'] | multi_choice |
stat696 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/696.png | Four students, A, B, C, and D, go to watch a movie. The remaining seats are shown in the figure below. What is the probability that B is sitting right next to A? | A | ['2/5', '3/5', '1/2', '3/4'] | multi_choice |
stat698 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/698.png | As shown in the figure, Xiao Ming has a square dartboard with a side length of 4 cm. Points A and B are the midpoints of two adjacent sides of the dartboard. If Xiao Ming randomly throws a dart at the dartboard, what is the probability that the dart lands in the shaded area? | D | ['1/2', '1/4', '3/4', '3/8'] | multi_choice |
stat7 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/7.png | The bar chart shown represents the age distribution of a school's male soccer team. What is the median age of these soccer players? | 15. | NULL | free_form |
stat70 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/70.png | Using the two freely rotatable disks shown in the figure to play the 'Make Purple' game, spin both disks simultaneously. If one disk lands on red and the other lands on blue, purple can be made. The probability of making purple by spinning both disks simultaneously is ________. | 5/12 | NULL | free_form |
stat700 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/700.png | A school conducted subject knowledge mock tests in March, April, May, and June, and organized the test scores, providing the statistical chart as shown (the number of students participating in each of the four tests remained unchanged). Which of the following conclusions is incorrect? ( ) | D | ['A total of 500 students participated in the academic knowledge mock test.', "The number of 'excellent' students increased the most in April.", "From March to June, the number and proportion of 'excellent' students increased.", "The number of 'excellent' students in the June test reached 100."] | multi_choice |
stat701 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/701.png | As shown in the figure, the math interest study group conducted an experiment titled 'Using Frequency to Estimate Probability,' resulting in the given frequency distribution line graph. Which experiment matches this result?
A. Tossing two coins, one landing heads up and the other tails up
B. Rolling a fair six-sided die, with the top face showing a multiple of 2
C. Drawing one ball from an opaque bag containing 4 red balls and 2 black balls (all balls are identical except for color), with the drawn ball being black
D. Drawing one card from a shuffled deck of 52 cards (without jokers), with the card's suit being hearts | C | ['Flip two coins, one heads up and one tails up.', 'Roll a fair die, and the number of dots on the top face is twice the number of dots on the bottom face.', 'A box contains 4 red balls and 2 black balls (excluding the color of the balls), draw one ball from the box, and the ball drawn is black.', 'Draw a card from a deck of cards, and the card drawn is a red card.'] | multi_choice |
stat702 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/702.png | A shopping mall designed a free spinning wheel as shown in the figure to attract customers. When the pointer points to the shaded area, the customer will receive a prize. What is the probability that the customer wins a prize? | C. 1/10 | ['1/6', '1/8', '1/10', '1/36'] | multi_choice |
stat703 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/703.png | Xiao Liang from Class 9(5) decided to self-test their '1-minute rope skipping' performance. The results of the four attempts are shown in the figure. The median of this dataset is ( ). | A. 183 | ['183', '189', '185', '195'] | multi_choice |
stat704 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/704.png | After the release of the 'Regulations on School Food Safety and Nutritional Health Management,' many areas introduced the 'Principal Accompanying Meal System,' where principals eat lunch with students. As shown in the diagram, one table of a school is represented. Student A sits first in seat D, and the principal and student B randomly choose two seats among seats A, B, and C. What is the probability that the principal and student B sit directly opposite each other? | B | ['1/2', '1/3', '1/4', '2/3'] | multi_choice |
stat705 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/705.png | In order to understand the speed of vehicles coming and going at an intersection during a certain time period, the traffic police randomly recorded the speed of some vehicles during this period as shown in the diagram. What is the average speed of vehicles during this period? ( ) | C | ['51.8 km/h', '52 km/h', '52.2 km/h', '52.5 km/h'] | multi_choice |
stat706 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/706.png | As shown in the figure, △ABC has an area of 3, point D is on side BC, and CD=2BD. Point E is the midpoint of side AC. Connect AD and DE. Assuming points can be freely chosen in the figure, what is the probability of the point being within the shaded area? | B | ['1/2', '1/3', '2/3', '1/4'] | multi_choice |
stat707 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/707.png | Spring is a high-incidence season for fires in northern areas. To address this, a school randomly selected 50 students out of 300 ninth-grade students to conduct a questionnaire survey on 'fire safety awareness and vigilance.' The survey results were categorized into four levels: 'excellent,' 'good,' 'average,' and 'poor,' and were summarized in the following bar chart. Which of the following statements is correct ( )? | B | ["The number of students with 'very good' performance is the highest.", "The number of students with 'very good' performance accounts for 18% of the total number of students.", "The number of students with 'average' performance is 10.", "It is estimated that there are 120 students with 'good' performance in the entire grade."] | multi_choice |
stat708 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/708.png | As shown in the figure, it is a line chart of monthly profits for the second half of the year for Hotel A and Hotel B. The two hotels are comparable in scale. To evaluate the average monthly profit levels of these two hotels from July to December, the appropriate statistical measure would be ( ). | B. Mean | ['Median', 'Mean', 'Mode', 'Variance'] | multi_choice |
stat709 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/709.png | As shown in the diagram, it is a statistical chart of the profit situation of Company A and Company B from January to August. Based on the chart, which of the following statements is incorrect?
A. The profit of Company A is decreasing
B. The profit of Company B increased between January and April
C. The profit of Company B in September must be greater than that of Company A
D. In August, the two companies achieved the same profit | C | ['The profit of company A is declining.', 'The profit of company B increased from January to April.', 'The profit of company B in September must be higher than that of company A.', 'In August, both companies achieved the same profit.'] | multi_choice |
stat71 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/71.png | As shown in the pie chart representing Xiao Ming's daily schedule over 24 hours, how many hours does he spend reading? | 1 | NULL | free_form |
stat714 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/714.png | As shown in the figure, this is a line chart of temperature changes from 8:00 to 20:00 on a certain day in a certain city. Based on the information provided by the chart, which of the following descriptions is correct ( )? | C | ['During this period, the lowest temperature is 22°C.', 'From 8:00 to 10:00, the temperature rises the fastest.', 'From 14:00 to 20:00, the temperature shows a downward trend.', 'From 14:00 to 16:00, the temperature drops the fastest.'] | multi_choice |
stat715 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/715.png | According to the following two statistical charts, which of the following statements is correct ( ). | D. The sugar-sweetened beverages from Factory A are not necessarily more than those from Factory B. | ['The number of sugary drinks in Factory A is more than that in Factory B.', 'The number of sugary drinks in Factory B is more than that in Factory A.', 'The number of sugary drinks in Factory B is less than that in Factory A.', 'The number of sugary drinks in Factory A is not necessarily more than that in Factory B.'] | multi_choice |
stat716 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/716.png | As shown in the diagram, it is a line chart showing the results of 10 shooting attempts by athletes A (Jia) and B (Yi). Based on the line chart, which of the following statements is correct? ( )
A. Athlete A's performance is more stable
B. The mode of Athlete B's scores is 8 rings
C. Athlete B's performance is better
D. None of the above statements is correct | B | ["A's performance is more stable", "B's average score is 8 rings", "B's performance is better", 'None of the above'] | multi_choice |
stat717 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/717.png | In a school's shooting competition, the target has three scoring zones: 8 rings, 9 rings, and 10 rings, with each ring further divided into 10 smaller segments. Xiaoxin, Xiaoyu, and Xiaohua each shoot three times, and their results are shown in the diagram. The one whose average shooting score is approximately 9.0 rings is ( ). | C | ['Xiaoxin', 'Xiaoyu', 'Xiaohua', 'All three are possible'] | multi_choice |
stat718 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/718.png | As shown in the figure, points P, A, B, C, and D are all vertices of small squares. If two points are randomly selected from A, B, C, D, what is the probability that the triangle formed with point P is a right triangle? | B | ['1/2', '1/3', '2/3', '1/6'] | multi_choice |
stat72 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/72.png | As shown in the figure, it is a pie chart showing the number of ice creams sold in a day at a certain cold drink shop. If 400 red bean flavored ice creams were sold, how many cream flavored ice creams were sold? ______. | 300 | NULL | free_form |
stat720 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/720.png | The bar graph below describes the ages of basketball team members in a school. What are the mode and median of their ages, respectively? | D. 15, 14.5 | ['14, 15', '15, 14', '15, 15', '15, 14.5'] | multi_choice |
stat721 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/721.png | As shown in the diagram, Xiaoyu designed a physical circuit diagram. Assuming that switches K1, K2, K3, and K4 are all in the open state, if two of the switches are randomly closed, what is the probability that the small bulb will light up? | C | ['1/6', '1/3', '1/2', '2/3'] | multi_choice |
stat722 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/722.png | In recent years, China's aviation industry has made significant breakthroughs, greatly stimulating the enthusiasm and interest of the public in aerospace. A certain school actively held an aerospace knowledge competition across the whole school, then randomly selected some students' competition scores (scores are integers, with a maximum of 100 points) for statistics, and drew a frequency distribution histogram as shown in the figure. Which of the following statements is incorrect? ( ) | C | ['The sample size is 40.', 'The number of people with scores between 70.5 and 80.5 is 14.', 'The number of people with scores between 50.5 and 60.5 accounts for 12% of the total sample size.', "The proportion of the school's scores above 90 is about 5%."] | multi_choice |
stat723 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/723.png | The following chart shows the monthly sales of 'artificial intelligence robots' by a merchant from January to October 2023. Which of the following statements is incorrect? | C | ['The total sales volume for these 10 months is 28.', 'The sales volume in July is the highest among these 10 months.', 'The difference between the sales volume of the first 5 months and the last 5 months is the largest.', 'The sales volume from April to July shows an increasing trend.'] | multi_choice |
stat724 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/724.png | If it is the statistics chart of the number of students watching the CCTV Spring Festival Gala on a certain online streaming platform, and the number of primary school students watching is 300,000, then the number of junior high school students watching is ( ). | C. 80 million | ['4 million', '5 million', '8 million', '20 million'] | multi_choice |
stat725 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/725.png | The highest daily temperatures in Changsha over a week are shown in the chart on the right. Which of the following statements is incorrect?
A. The highest temperature in this set is 32℃.
B. The difference between the highest temperatures on Thursday and Friday is 8℃.
C. The mode of this data set is 24.
D. The median of this data set is 30. | D | ['The highest temperature is 32°C.', 'The highest temperatures on Thursday and Friday differ by 8°C.', 'The mode of this data set is 24.', 'The median of this data set is 30.'] | multi_choice |
stat727 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/727.png | To protect the ecological environment on which humans depend for survival, China has designated March 12 as China's Arbor Day. On Arbor Day, a school organized each class to participate in tree-planting activities. Afterward, the number of trees planted by each class was counted and illustrated using the following frequency distribution histogram (each group includes the lower bound but excludes the upper bound):
Based on the statistical results, which of the following statements is incorrect? ( )
A. A total of 24 classes participated in the tree-planting activity.
B. The class interval of the frequency distribution histogram is 5.
C. Three classes planted fewer than 35 trees.
D. Three classes each planted 45 trees. | D | ['A total of 24 classes participated in the tree planting activity', 'The group distance of the frequency distribution histogram is 5', 'The number of trees planted by 3 classes is less than 35', 'There are 3 classes that planted 45 trees'] | multi_choice |
stat728 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/728.png | According to the information provided by the statistics, which of the following judgments is incorrect ( ). | D | ["In 2022, the per capita consumption expenditure of the national residents in the 'Other goods and services' category was 294.5 yuan.", "In 2022, the per capita consumption expenditure of the national residents in the 'Other goods and services' category increased compared to 2021.", "In 2022, the per capita consumption expenditure of the national residents in the 'Other goods and services' category had the smallest increase.", "If a rational investor chooses one category from the above data as his investment direction, he would choose the 'Education, culture, and entertainment' category."] | multi_choice |
stat729 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/729.png | In 2024, the National Bureau of Statistics published the 'Statistical Bulletin of the National Economic and Social Development of the People's Republic of China in 2023.' Below is a chart released by the National Bureau of Statistics showing the national express delivery volume and its growth rate from 2019 to 2023. Based on the information provided in the chart, which of the following conclusions is incorrect?
A. Compared to 2021, the annual growth rate of express delivery volume decreased in 2022, but the express delivery volume still increased
B. From 2019 to 2023, the express delivery volume continuously increased
C. From 2020 to 2023, the annual growth rate of express delivery volume continuously decreased
D. The express delivery volume in 2023 increased by 21.49 billion pieces compared to 2022 | C | ['Compared with 2021, although the annual growth rate of express business volume in 2022 has declined, the express business volume has still increased.', 'From 2019 to 2023, the express business volume has continued to rise.', 'From 2020 to 2023, the annual growth rate of express business volume has continued to decline.', 'In 2023, the express business volume increased by 21.49 billion pieces compared to 2022.'] | multi_choice |
stat73 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/73.png | As shown in the figure, in the dart game board, each small square except the shaded part is identical. The game board is placed flat on the ground. What is the probability that the first raindrop falling on the game board will hit the shaded part? | 4/9 | NULL | free_form |
stat730 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/730.png | Xiaolong conducted an experiment to estimate probabilities based on the frequency of a spinning wheel. When the wheel stops spinning, the number indicated by the pointer represents the experimental outcome. Diagram (b) shows the experimental results recorded by Xiaolong. Which of the following represents Xiaolong's experiment?
A. The outcome is a number divisible by 3
B. The outcome is an odd number
C. The outcome is a number less than 5
D. The outcome is a number divisible by 5 | A | ['After rotating the disk, the number that can be divisible by 3 appears.', 'After rotating the disk, an odd number appears.', 'After rotating the disk, a number less than or equal to 5 appears.', 'After rotating the disk, the number that can be divisible by 5 appears.'] | multi_choice |
stat731 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/731.png | Gan Middle School fully explored traditional folk entertainment activities and carried out various colorful club activities. A, B, C, and D respectively represent lion dance, dry boat running, dragon lantern dance, and Yangko dance. Each student is required to choose and participate in only one activity. The selection situation of eighth-grade students is as shown below and in the circular statistical chart: Which of the following options is incorrect? ( ) | C | ['There are 1500 eighth-grade students', 'a = 150', "The central angle of the pie 'C' is 60 degrees", "The percentage of 'D' is 15%"] | multi_choice |
stat732 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/732.png | A school plans to establish a student sports club. To understand students' preferences for different sports, the school randomly selected some students to participate in a survey titled 'My Favorite Sport.' In this survey, each student was required to choose only one sport from 'basketball,' 'soccer,' 'table tennis,' 'aerobics,' and 'running.' Two incomplete statistical charts were created based on the survey results. Which of the following statements is correct? ( ). A. This survey was a complete survey B. In this survey, the school surveyed a total of 180 students C. The central angle of the pie chart corresponding to the 'running' project is 72° D. In this survey, 30 students chose soccer as their favorite sport. | C | ['This survey is a full survey.', 'In this survey, the school surveyed a total of 180 students.', "The angle of the sector corresponding to the 'running' item in the pie chart is 72°.", 'In this survey, the number of students who chose basketball is 30.'] | multi_choice |
stat733 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/733.png | Lanzhou City's current urban residents' water usage is divided into three levels, with progressively increasing water prices. The first level is for usage not exceeding 144m³ per year per household, which follows the current residential water price; the second level is for usage exceeding 144m³ but not exceeding 180m³ per year, charged at 1.5 times the current water price; the third level is for usage exceeding 180m³ per year, charged at 3 times the current water price. A volunteer team from a residential community randomly surveyed 50 households to understand the residents' water usage and compiled a frequency histogram (as shown in the figure). Given that the community has 1,000 households in total, estimate the number of households whose annual water usage reaches the third level ( ). | C | ['30', '45', '60', '90'] | multi_choice |
stat734 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/734.png | All the happiness in the world requires diligent labor to create. A school, based on its actual situation, incorporates labor education into the entire talent training process to fully improve the labor qualities of middle school students, spanning family, school, and society. To understand the amount of time seventh-grade students spend on household labor every week, a random survey was conducted among some students. The labor practice time (unit: hours) was divided into four groups (A: x ≤ 0.5, B: 0.5 < x ≤ 1.5, C: 1.5 < x ≤ 2.5, D: x > 2.5), and the statistics generated two incomplete statistical charts as follows:
Which of the following options is correct? ( )
A. The sample size for this survey is 45.
B. The central angle of the sector for Group A in the pie chart is 85.4°.
C. In this survey, the number of students whose weekly household labor time is no less than 2 hours is 4.
D. The school plans to select students whose weekly household labor time is no less than 2 hours to be labor education ambassadors to give presentations across the school. For an estimated 650 seventh-grade students, approximately 39 labor education ambassadors will be chosen. | D | ['The sample size of this survey is 45.', 'The angle corresponding to sector 4 in the pie chart is 85.4°.', 'In this survey, there are 4 students whose weekly family labor time is not less than 2 hours.', 'The school plans to have students whose weekly family labor time is not less than 2 hours to serve as labor education propagandists. It is estimated that the number of labor education propagandists among 650 seventh-grade students is 39.'] | multi_choice |
stat736 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/736.png | 3. To better implement after-school extended services, a school decided to purchase some sports equipment based on students' interests for them to use. The school’s youth league committee randomly selected 100 students from the school to survey their sports interests, and the collected data were organized into a bar chart as shown in the figure. If the school has a total of 1500 students, approximately how many students like football ( )? | B. 150 students | ['100 people', '150 people', '200 people', '250 people'] | multi_choice |
stat738 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/738.png | A school has a total of 800 students. To understand holiday reading habits, 80 students were randomly surveyed, and the results were presented in the form of a statistical chart. Estimate the number of students in the entire school who read 5 books. | D. 60 students | ['240 students', '200 students', '140 students', '60 students'] | multi_choice |
stat74 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/74.png | A survey was conducted among students in a class regarding their favorite extracurricular activity (each student chooses one activity), and the results were displayed in a statistical chart as shown. It is known that the number of students who chose shuttlecock kicking is 9 fewer than those who chose basketball. How many students chose 'Other' activities? | 15 | NULL | free_form |
stat742 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/742.png | In order to understand the extracurricular reading volume of her classmates in one week, Xiao Li randomly selected 15 students in her class to conduct a survey and plotted the results into a line chart as shown in the diagram. Which of the following statements is correct?
A. The average is 2.5, and the mode is 3
B. The average is 2, and the mode is 6
C. The mode is 2, and the median is 2
D. The mode is 2, and the median is 3 | C | ['The average number is 2.5, and the mode is 3', 'The average number is 2, and the mode is 6', 'The mode is 2, and the median is 2', 'The mode is 2, and the median is 3'] | multi_choice |
stat743 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/743.png | In order to understand the driving speed of vehicles on a certain road section, traffic police recorded the speeds (in km/h) of vehicles traveling on the road between 7:00 AM and 9:00 AM and plotted the data as a bar chart. What are the mode and median of these speeds, respectively? | D | ['The mode is 70 km/h, the median is 70 km/h', 'The mode is 60 km/h, the median is 70 km/h', 'The mode is 60 km/h, the median is 60 km/h', 'The mode is 70 km/h, the median is 60 km/h'] | multi_choice |
stat746 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/746.png | At this year's National People's Congress, we can feel the warmth of people's livelihood from the government work report: in 2023, the per capita disposable income of residents increased by 6.1%, and the income gap between urban and rural residents continued to narrow. Achievements in poverty alleviation have been consolidated and expanded, with the income of rural residents in poverty-stricken areas increasing by 8.4%. Below is a bar chart showing the per capita disposable income of residents in Yunnan Province from 2018 to 2023:
Which of the following conclusions is correct? ( )
A. The growth rate of per capita disposable income of residents in Yunnan Province in 2019 was approximately 9.95%.
B. From 2018 to 2023, the per capita disposable income of residents in Yunnan Province fluctuated, sometimes increasing, sometimes decreasing.
C. In 2023, the per capita disposable income of residents in Yunnan Province increased by 6300 yuan compared to 2020.
D. From 2018 to 2023, the year with the highest growth rate in per capita disposable income of residents in Yunnan Province was 2020. | A | ['In 2019, the per capita disposable income of residents in Yunnan Province increased by about 9.95%', 'From 2018 to 2023, the per capita disposable income of residents in Yunnan Province has declined', 'In 2023, the per capita disposable income of residents in Yunnan Province increased by 6300 yuan compared to 2020', 'From 2018 to 2023, the year with the largest increase in per capita disposable income of residents in Yunnan Province was 2020'] | multi_choice |
stat748 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/748.png | If the weather conditions in a certain county from March 11 to March 17 are given, the correct judgment is ( ).
A. The variance of the lowest temperatures is greater than the variance of the highest temperatures
B. The median of the temperature differences over these seven days is 4°C
C. The mode of the temperature differences over these seven days is 15°C
D. The mean of the temperature differences over these seven days is 7°C | B | ['The range of the lowest temperature is greater than the range of the highest temperature.', 'The median of the temperature difference is 4°C.', 'The mode of the temperature difference is 15°C.', 'The average of the temperature difference is 7°C.'] | multi_choice |
stat749 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/749.png | The table below is a statistical table of the age distribution of 20 members of a certain community. Part of the data was accidentally torn off, but it is still possible to analyze and derive the statistical measure of the ages of these 20 members ( ). | C | ['Mean', 'Variance', 'Median', 'Mode'] | multi_choice |
stat75 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/75.png | In order to understand the physical fitness of certain ninth-grade students, the school randomly selected 40 students to test the number of sit-ups they could do in one minute and plotted a frequency distribution histogram. What is the frequency of students who performed sit-ups between 20 and 30 times? | 28 | NULL | free_form |
stat750 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/750.png | In order to understand the implementation of the 'Sunny Sports' program among students, a school randomly surveyed 40 students regarding the amount of time they exercised in a week and created the bar chart as shown. Based on the data provided in the chart, the mode and median of the time 40 students spent exercising in a week are ( ).
A. 16, 16
B. 8, 9
C. 9, 8
D. 16, 13 | B. 8, 9 | ['16, 16', '8, 9', '9, 8', '16, 13'] | multi_choice |
stat751 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/751.png | To implement the Ministry of Education's requirement to 'ensure students have no less than 1 hour of physical activity every day,' the school requires students to persist in physical exercise. Xiao Ming recorded the time spent on physical exercise inside and outside school (in minutes) over a week and created a statistical chart as shown. Based on the statistical chart, the mode and median of the daily exercise time for Xiao Ming during this period are ( ). | B | ['67, 67', '67, 70', '70, 70', '70, 67'] | multi_choice |
stat752 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/752.png | As shown in the figure, the result of a certain experiment simulating the random tossing of a thumbtack using a computer is provided. The figure gives four inferences based on the experimental results. Which one is reasonable? | C | ['When the number of throws is 1000, the number of times the needle points up is 620.', 'When the number of throws is 1000, the probability of the needle pointing up is 0.620.', 'As the number of experimental throws increases, the probability of the needle pointing up stabilizes around 0.618, so it can be estimated that the probability of the needle pointing up is 0.618.', 'If the experiment is simulated again, the number of throws is 1000, and the probability of the needle pointing up is 0.620.'] | multi_choice |
stat753 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/753.png | As shown in the figure, points C and D are on line segment AB, and AC:CD:DB=3:2:1. The circle centered at point A with radius AC is defined as region I, the circular ring where CD is located is region II, and the circular ring where AB is the diameter is region III. Consider the distribution of beans falling into regions I, II, and III. If this experiment is repeated many times, what can be concluded? | A. The probability of beans falling into region I is the smallest. | ['The probability of beans falling in region I is the smallest', 'The probability of beans falling in region II is the smallest', 'The probability of beans falling in region III is the smallest', 'The probabilities of beans falling in regions I, II, and III are the same'] | multi_choice |
stat754 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/754.png | The following is a sales data chart for a mobile phone store from January to April. Analyzing the chart, four students have drawn four conclusions about the sales performance of L-brand mobile phones in March and April. Which one is correct?
A. The sales revenue of L-brand mobile phones in April was 650,000 yuan.
B. The sales revenue of L-brand mobile phones in April increased compared to March.
C. The sales revenue of L-brand mobile phones in April decreased compared to March.
D. The sales revenue of L-brand mobile phones in March and April cannot be compared, only the total sales revenue of the store can be compared. | B | ['The sales amount of L brand mobile phones in April was 650,000 yuan.', 'The sales amount of L brand mobile phones in April increased compared to March.', 'The sales amount of L brand mobile phones in April decreased compared to March.', 'The sales amount of L brand mobile phones in March and April cannot be compared, only the total sales amount of the store can be compared.'] | multi_choice |
stat755 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/755.png | To implement the requirements of 'homework, sleep, mobile phones, reading materials, physical fitness' management, and to understand the students' sleep patterns, a class of 50 students was surveyed regarding their daily sleep duration. A frequency distribution histogram of sleep duration was drawn, as shown in the figure. What is the mode of the sleep durations surveyed? | B. 7 hours | ['6 hours', '7 hours', '8 hours', '9 hours'] | multi_choice |
stat756 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/756.png | As of December 2023, Nanjing has opened two types of metro lines — city metro lines (Line 1, Line 2, Line 3, Line 4, Line 7, Line 10) and suburban metro lines (S1, S3, S6, S7, S8, S9). Below is a line graph showing the daily passenger volume of these two types of metro lines over 13 consecutive days in a certain month. Regarding the data for these 13 days: ① On the day with the highest daily passenger volume across all metro lines in the city, the total number of passengers is 2.625 million, and on the day with the lowest daily passenger volume, the total number of passengers is 1.654 million. ② For the same type of metro line, the daily passenger volume on Sundays does not exceed that on weekdays. ③ The average daily passenger volume for city metro lines is 6 to 7 times that of suburban metro lines. ④ The daily passenger volume of city metro lines is much higher than that of suburban metro lines but fluctuates less. Which of the above statements are correct? | B | ['The maximum daily passenger volume of all urban rail transit lines in the 13 days is 262.5 million, and the minimum daily passenger volume is 165.4 million.', 'For the same urban rail transit line, the daily passenger volume on weekends (Saturday and Sunday) is less than that on weekdays (Monday to Friday).', 'The average daily passenger volume of urban rail transit lines is 7-6 times that of suburban rail transit lines.', 'The average daily passenger volume of urban rail transit lines is less than that of suburban rail transit lines.'] | multi_choice |
stat758 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/758.png | Mr. Li used a mobile app to record the number of steps he walked daily (in 10,000 steps) over a certain month (30 days). He then created a statistical chart based on the results. In the dataset representing the number of steps Mr. Li walked daily, what are the mode and the median respectively? | C. 1.4 and 1.3 | ['1.2 and 1.3', '1.4 and 1.35', '1.4 and 1.3', '1.3 and 1.3'] | multi_choice |
stat759 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/759.png | Lijiang City is a well-known historical and cultural city. During the Spring Festival, the relevant departments conducted a random sampling survey on tourists visiting Lijiang for sightseeing. Based on the survey, the following two incomplete statistical charts were drawn. Based on the information in the charts, which of the following conclusions is incorrect? ( )
A. The proportion 'a' in the pie chart is 40%
B. The sample size of this survey is 1000
C. In the pie chart, the central angle of the sector representing 'Other' is 36°
D. The number of people choosing 'Public Transportation' as their travel method is 500 | D | ['In the pie chart, a corresponds to 40%', 'The sample size of this survey is 1000', "In the pie chart, the central angle of the pie 'other' is 36 degrees", "The number of people choosing 'public transportation' as their travel method is 500"] | multi_choice |
stat76 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/76.png | A project team conducted a survey on the charging cost of new energy vehicles, and obtained a frequency distribution histogram (each group includes the lower boundary value but not the upper boundary value) as shown in the figure. How many cars have a charging cost of 300 yuan/month or more? | 14 | NULL | free_form |
stat760 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/760.png | A school randomly selected 50 students to conduct a questionnaire survey on their weekly extracurricular reading time. The survey results were made into a frequency histogram as shown in the figure (each group includes the maximum value but not the minimum value). Estimate the total number of students among the 1800 students in the school who spend more than 6 hours per week reading. ( ) | C. 720 people | ['20 people', '396 people', '720 people', '1080 people'] | multi_choice |
stat762 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/762.png | A teacher of Class 9 (1) in a middle school conducted a full survey to understand the students' preference for ball games. The survey included four options: soccer, table tennis, basketball, and volleyball. Each student was required to choose only one of these sports as their favorite. Based on the survey results, two illustrative diagrams were created as shown. Among the following conclusions, which ones are correct? ① The number of students in Class 9 (1) is 40; ② The value of m is 10; ③ The central angle of the sector representing 'soccer' is 70°. | B | ['The number of students in Class 9 (1) is 40.', 'The value of m is 10.', "The angle of the sector representing 'football' in the pie chart is 70°.", 'None of the above.'] | multi_choice |
stat763 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/763.png | A school conducted a random survey of 10 students to understand their extracurricular reading habits. The data collected represents the time each student spent reading on a particular day (as shown in the chart). Based on this chart, the mode and median of the time spent reading by these 10 students on that day are ( ). | B | ['0.5, 0.5', '0.5, 0.75', '1.0, 0.5', '1.0, 0.75'] | multi_choice |
stat766 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/766.png | As shown in the figure, the line chart records the highest temperature of each day in a certain city over the course of a week. Among the following options, the incorrect one is ( ). | B | ['The highest temperature this week is 30°C', 'The median of this data set is 28°C', 'The mode of this data set is 28°C', 'The average of this data set is 25 4/7°C'] | multi_choice |
stat767 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/767.png | The operation of society and daily life cannot function without the development of the logistics industry. The following diagram illustrates the total logistics costs and the proportion of GDP in China from 2011 to 2022. Based on the statistical information, which of the following conclusions is incorrect? (2011-2022 Total Logistics Costs and Proportion of GDP Statistics in China) | B | ['From 2011 to 2022, the proportion of total logistics expenses to GDP showed a steady downward trend.', 'The fluctuation of total logistics expenses from 2011 to 2016 was greater than that from 2017 to 2022.', 'From 2012 to 2022, the total logistics expenses increased year by year, with the largest increase in 2021.', 'From 2011 to 2017, the proportion of logistics expenses to GDP, excluding other industries, increased.'] | multi_choice |
stat768 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/768.png | As shown in the figure, the line chart depicts the results of five fitness tests taken by two students, Jia and Yi, before the physical education exam. Which of the following statements is correct? | A. Jia's average score is lower and more stable. | ['The average score of A is lower and stable', 'The average score of B is lower and stable', 'The average score of A is higher and stable', 'The average score of B is higher and stable'] | multi_choice |
stat770 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/770.png | The bar chart below describes the ages of the football team members from a certain school. What are the median and mode of these football team members' ages? | D. 14.5, 15 | ['14, 14', '14.5, 14', '15, 15', '14.5, 15'] | multi_choice |
stat771 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/771.png | A certain school held a standardized handwriting competition, and the frequency distribution histogram of the final scores (rounded integers) of 100 participating students is shown in the diagram (the frequency axis intervals are equally spaced). Based on the information in the diagram, determine what each unit on the frequency axis represents in terms of the number of people ( ). | A. 5 | ['5', '10', '15', 'Cannot be determined'] | multi_choice |
stat773 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/773.png | The goal attainment rate is also called the completion rate, which generally refers to the ratio of an individual’s actual completion amount to the target amount. Setting clear and specific goals can help us better understand ourselves and grow quickly. A study group comprising eight classmates from Class A, B, C, D, E, F, G, and H created the following bar chart, showing their planned running mileage at the beginning of the month and their actual completion at the end of the month. Based on the chart, the following four conclusions were made: ① A classmate's goal attainment rate is 100%; ② The greatest difference between the target and actual completion amounts is for Classmate D; ③ Four classmates' data clustered within the target range; ④ Five classmates ran over 30 km in total. Which sequence numbers of the conclusions are correct? A. ①② B. ②③ C. ①③④ D. ①②③④ | C | ['①②', '②③', '①③④', '①②③④'] | multi_choice |
stat775 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/775.png | Xiaodong's father's total salary income in May is approximately 8000 yuan. According to the distribution shown in the diagram, the amount of money spent on education is approximately ( ). | B. 1200 yuan | ['400 yuan', '1200 yuan', '2000 yuan', '900 yuan'] | multi_choice |
stat777 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/777.png | Every April 23rd is "World Book Day." Reading can enrich knowledge, broaden horizons, enhance life, and bring us joy. A middle school in Kunming plans to set up a book corner in each class. To reasonably allocate various types of books, the school committee conducted a survey themed "My Favorite Books" among all students and collected data on their favorite types of books (A. Science, B. Literature, C. Sports, D. Others). Based on the incomplete statistical chart provided, which of the following statements is correct? A. The number of students who like literature in this sampling is 30. B. The sample size of this survey is 180. C. The number of students who like science books in this sampling is 70. D. If the school has 2600 students, the number of students who like science books is approximately 520. | D | ['The number of people who like literature books in this sample is 30.', 'The sample size of this survey is 180.', 'The number of people who like science books in this sample is 70.', 'If the school has 2600 students, the number of students who like science books is about 520.'] | multi_choice |
stat781 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/781.png | There are 41 students in a class going to the cinema to watch a movie. The seating positions of the first 40 students are represented as points in the Cartesian coordinate system shown in the diagram (a total of 40 points). The y-coordinate represents the row of the seat, and the x-coordinate represents the column of the seat. The variance of the row numbers is S1², and the variance of the column numbers is S2². Taking the average of the row numbers as the y-coordinate and the average of the column numbers as the x-coordinate, the point is denoted as P. Using P as the center, two concentric circles with a radius ratio of 1:2 divide the cinema into regions A, B, and C. Which region should the 41st student sit in to maintain S1² and S2² unchanged?
A. Region A B. Region B C. Region C D. Any region | B | ['Region A', 'Region B', 'Region C', 'Any region is fine'] | multi_choice |
stat783 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/783.png | In order to strengthen traffic safety education, a school randomly surveyed the commuting methods (by car, walking, cycling) of some ninth-grade students and drew the following two incomplete statistical charts based on the survey results. Which of the following judgments is incorrect? ( ) | D | ['The total number of people surveyed this time is 60.', 'There are 8 students who ride bicycles to school.', 'If there are 1200 students in the school, then 600 students take the bus to school.', 'The central angle of the circle representing the number of students walking in the pie chart is 122 degrees.'] | multi_choice |
stat784 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/784.png | As shown in the figure, this is a square dartboard made by Xiaoming. If he can hit the dartboard every time he throws a dart, what is the probability that a randomly thrown dart will land exactly in the shaded area? | B | ['1/2', '1/4', '1/6', '1/8'] | multi_choice |
stat785 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/785.png | As shown in the diagram, it is a line chart of the shooting scores of two basketball players, A and B, over 5 attempts. Based on the line chart, which player has more stable performance ( )? | A | ['A', 'B', 'Same stability', 'Cannot be determined'] | multi_choice |
stat786 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/786.png | The "Compulsory Education Curriculum Standards (2022 Edition)" for the first time included learning to cook into the labor education curriculum and made clear requirements. Xiaoliang surveyed the number of dishes learned to cook by all classmates in a week, as shown in the chart. What is the average number of dishes learned to cook by all classmates in a week? ( ) | B | ['2', '2.6', '3', '3.1'] | multi_choice |
stat789 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/789.png | As shown in the figure, it is an incomplete bar chart representing the modes of transportation (by bus, walking, cycling) for students from Class 7 (3) of a certain middle school. If the number of students traveling by bus accounts for 40% of the total, how many students walk? | B | ['16 people', '18 people', '40 people', '50 people'] | multi_choice |
stat79 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/79.png | As shown in the figure, the six sectors of the spinning wheel have equal areas. Spin the wheel randomly once, and when the wheel stops, the probability that the pointer lands on a sector with an odd number is ________. | 1/2 | NULL | free_form |
stat791 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/791.png | As shown in the figure, in a 3×4 small square grid, there are already 5 shaded small squares. Randomly shade one more small square so that the probability of the 6 shaded small squares forming a cube net is ( ). | B | ['1/2', '4/7', '5/7', '2/3'] | multi_choice |
stat793 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/793.png | In this year's charity fund donation activity, a certain unit conducted statistics on the number of people who donated 100 RMB, 200 RMB, 300 RMB, 400 RMB, and 500 RMB respectively, and created the following statistical chart. Which of the following four pieces of information obtained from the chart is correct ( ). | C | ['The higher the donation amount, the fewer the number of people donating.', 'The number of people donating 400 yuan is more than the number of people donating 200 yuan.', 'The number of people donating 300 yuan is the highest.', 'The number of people donating 200 yuan is the lowest.'] | multi_choice |
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