id stringlengths 4 8 | image_url stringlengths 77 81 | query stringlengths 7 1.32k | answer stringlengths 1 148 | choice stringlengths 4 597 | question_type stringclasses 2
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stat446 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/446.png | According to data from the National Bureau of Statistics, the Consumer Price Index (CPI) for urban residents in China over the past 10 years is shown in the chart below. Which of the following statements is incorrect? ( ) | A | ["From 2015 to 2019, the urban residents' consumer price index increased year by year.", "The maximum and minimum values of the urban residents' consumer price index in the past 10 years differ by 1.8.", "The average value of the urban residents' consumer price index in the past 10 years is 102.1.", "The median value of the urban residents' consumer price index in the past 10 years is 102.1."] | multi_choice |
stat447 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/447.png | As shown in the figure, a math activity group creates a dartboard game. The dartboard consists of equally sized small squares. If a dart is randomly thrown at the dartboard, what is the probability of hitting the shaded region? | C | ['1/4', '1/3', '1/2', '2/3'] | multi_choice |
stat448 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/448.png | As shown in the pie chart, it describes the scoring situation of after-school extended services by students at a certain school (full score of 5). What is the average score of all ratings? ( ) | C | ['3.35 points', '3.45 points', '3.55 points', '4.65 points'] | multi_choice |
stat449 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/449.png | The average scores and variances of four shooting athletes, A, B, C, and D, in recent selection competitions are shown in the figure. Based on the data in the figure, which athlete should be selected to participate in the competition, considering both good performance and stable results? ( ) | D | ['甲', '乙', '丙', '丁'] | multi_choice |
stat45 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/45.png | To understand the daily study time of Grade 8 students at a certain school during the postponed school opening period, a random survey was conducted on 20 Grade 8 students from the school. The obtained data was organized and summarized in the table below. Based on the data, the estimated average daily study time of Grade 8 students at the school is approximately __________ h. | 6.3 | NULL | free_form |
stat450 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/450.png | A certain student conducted a survey of the entire class about 'Your favorite sports activity' and created the bar chart shown in the figure. Which of the following statements is incorrect? ( ) | D | ['The number of students who like football is the largest.', 'There are 50 students in the class.', 'The frequency of students who like badminton is 0.16.', 'The number of students who like basketball accounts for 12% of the class.'] | multi_choice |
stat452 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/452.png | The Disease Control Center conducts health checkups for students at our school every semester. Xiaoze simulated and compiled the results of all students’ body temperature measurements into the following statistical chart. Which of the following statements is incorrect ( ). | C | ['36.1°C corresponds to 4 students', '36.5°C corresponds to 8 students', 'The number of students with 36.4°C is 10', 'The median body temperature is 36.35°C'] | multi_choice |
stat453 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/453.png | As shown in the figure, it is a line graph showing the test results of five physical tests for two students, A and B. The following statements are given: ① The average score of student A is smaller. ② The median score of student B is 90. ③ The mode of student A's scores is 85. ④ The variance of student B's scores is larger. Among these statements, the correct ones are ( ). | A | ['4', '3', '2', '1'] | multi_choice |
stat454 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/454.png | The vision status of ninth-grade students at a school is shown in the chart. If there are 80 students with moderate myopia, how many students have mild myopia? | C. 120 students | ['40 students', '108 students', '120 students', '160 students'] | multi_choice |
stat455 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/455.png | The school conducted a survey in a Grade 8 class about the transportation tools they use to go to school (single-choice question). The options were A (bicycle), B (private car), C (walking), and D (public bus). The results are shown in the chart:
Based on the above statistics, which of the following judgments is incorrect? ( )
A. 8 people chose A
B. 4 people chose B
C. 28 people chose C
D. A total of 40 students participated in the survey | D | ['There are 8 people who chose A.', 'There are 4 people who chose B.', 'There are 28 people who chose C.', 'A total of 40 people participated in the survey.'] | multi_choice |
stat456 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/456.png | The following graph shows the average temperature statistics of a certain city over 20 consecutive days. Which of the following statements is correct? | A | ['The average is 9.4, the median is 10', 'The median is 9, the average is 10', 'The median is 9.4, the average is 9', 'The median is 9.5, the average is 9'] | multi_choice |
stat459 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/459.png | The age distribution of a certain male soccer team is shown in the diagram below. What are the mode and median ages of these players? | D. 24 years and 23.5 years | ['5 years old and 23 years old', '24 years old and 24 years old', '24 years old and 23 years old', '24 years old and 23.5 years old'] | multi_choice |
stat46 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/46.png | As shown in the figure, two incomplete statistical charts were drawn by Liang Liang based on the number of students in the class who like four types of television programs. The number of people who like 'sports' programs is ________. | 8 | NULL | free_form |
stat461 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/461.png | As shown in the figure, it is a frequency line graph provided by a group performing the experiment 'Using frequency to estimate probability.' Which experiment corresponds to this result? ( ) | A | ['Throw a regular hexagonal die, and the number of times the top face shows 3 is 1/3 of the total number of throws.', 'Flip two coins, one showing heads and one showing tails.', 'After removing the kings from a deck of cards, draw a card at random, and the probability of drawing a red card is 1/2.', 'From a bag containing 2 red balls and 1 black ball, draw one ball at random, and the probability of drawing a red ball is 2/3.'] | multi_choice |
stat462 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/462.png | To celebrate the 100th anniversary of the founding of the Communist Party of China, a youth knowledge competition was held in a certain district. School A and School B each sent 5 students to participate in the competition. The competition results of the two teams of students are shown in the diagram below. Which of the following relationships is completely correct? ( ) | B | ['S²_A = S²_B, x̄_A = x̄_B', 'S²_A > S²_B, x̄_A > x̄_B', 'S²_A = S²_B, x̄_A > x̄_B', 'S²_A = S²_B, x̄_A < x̄_B'] | multi_choice |
stat463 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/463.png | It is known that the histogram below shows the distribution of the money raised by 200 ninth-grade students from a charity sale in a certain school. What is the group frequency for the 0–40 yuan interval (0-40 yuan)? | B | ['1/4', '2/5', '5/6', '7/8'] | multi_choice |
stat464 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/464.png | As shown in the figure, there is a statistical chart of the scores of 30 students in courses A and B. Let the variance of the scores for course A be 𝑆₁² and the variance of the scores for course B be 𝑆₂². Then, the relationship between 𝑆₁² and 𝑆₂² is ( ). | A | ['\\(S_1^2 < S_2^2\\)', '\\(S_1^2 = S_2^2\\)', '\\(S_1^2 > S_2^2\\)', 'Uncertain'] | multi_choice |
stat465 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/465.png | 2. With the continuous advancement of the nation's educational digitalization process, educational tools are becoming increasingly abundant. A school organized the final exam scores of a certain ninth-grade class and created a histogram as shown in the figure. The percentages of the four groups from left to right are 4%, 12%, 40%, and 28%, respectively. The frequency of the fifth group is 8. Which of the following statements is incorrect? ( )
A. 50 students in the class participated in the final exam
B. The percentage occupied by the fifth group is 16%
C. The average score of the class is approximately 79
D. The mode of the data is 20 | C | ['There are 50 students in this class who participated in the end-of-term test.', 'The percentage of the fifth group is 16%.', 'The average score of this class is about 79 points.', 'The mode of this data is 20.'] | multi_choice |
stat466 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/466.png | On the school basketball court, five students from Class 3 (1) are competing. The heights of the five players on the court are shown in the statistical chart below, where '△' represents the heights of the five players before the substitution, and '○' represents the heights of the five players after the substitution. Compared to the heights before the substitution, the heights of the players on the court after the substitution are ( )
A. Mean remains the same, variance decreases
B. Mean remains the same, variance increases
C. Mean increases, variance decreases
D. Mean increases, variance increases | B | ['The average height does not change, and the variance decreases.', 'The average height does not change, and the variance increases.', 'The average height changes, and the variance decreases.', 'The average height changes, and the variance increases.'] | multi_choice |
stat467 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/467.png | To encourage students to read more, a school launched the 'Book Aroma Campus' activity. The diagram shows the reading statistics (in books) of extracurricular books for a semester taken by the class leader of a certain class of 50 students. What are the median, mode, and mean of the number of books read by these 50 students? | C | ['18, 12, 12', '12, 12, 12', '15, 12, 14.8', '15, 10, 14.5'] | multi_choice |
stat468 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/468.png | To respond to the 'Double Reduction' policy and further implement the philosophy of 'Moral Education, Comprehensive Development in Five Domains,' a school in Shenzhen actively promoted the reform of student comprehensive quality evaluation. Xiaofang's scores in moral, intellectual, physical, aesthetic, and labor evaluations for this semester are shown in the figure. The scores for each category are 9, 8, 10, 8, and 7, respectively. What are the mode, median, and mean of these five evaluation scores corresponding to the student? ( ) | D. 8, 8, 8.4 | ['8, 8, 8', '7, 8, 7.8', '8, 8, 8.7', '8, 8, 8.4'] | multi_choice |
stat469 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/469.png | In order to enhance students' safety awareness of preventing COVID-19, a school held a competition on epidemic prevention knowledge. The scores of 26 participants from different grades are shown in the figure. The mode and the median of these scores are ( ). | B. 98, 97 | ['98, 98', '98, 97', '96, 98', '96, 96'] | multi_choice |
stat47 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/47.png | In a certain school, to enhance students' physical fitness, the following physical activities during recess are offered: A. Skipping rope, B. Jumping rope, C. Table tennis, D. Volleyball. To understand which activity students like the most, a random sample of students was surveyed, and the results were presented in an incomplete pie chart. The central angle of the sector representing activity A is 36°. What is the number of students who chose table tennis among those surveyed? ________. | 6 | NULL | free_form |
stat470 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/470.png | The following chart shows the scores of five math tests taken by two students, A and B. Comparing the scores of A and B, which of the following statements is correct? | D | ['Student A has a higher average score and smaller score fluctuations.', 'Student A has a higher average score and larger score fluctuations.', 'Student B has a higher average score and smaller score fluctuations.', 'Student B has a higher average score and larger score fluctuations.'] | multi_choice |
stat471 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/471.png | As shown in the figure, the area ratio of four sectors A, B, C, and D is 1:2:3:4. What is the central angle of sector D in degrees? | C | ['54°', '98°', '144°', '120°'] | multi_choice |
stat472 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/472.png | A student purchases stationery at four stationery shops (Shop A, Shop B, Shop C, and Shop D), with the unit price and quantity shown in the chart. Which shop did the student spend the most money at? | C. Shop C | ['A. 甲', 'B. 乙', 'C. 丙', 'D. 丁'] | multi_choice |
stat473 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/473.png | As shown in the figure, the probability that the product of the two numbers obtained by spinning two spinners is 6 is ( ).
A.1/2 B.1/3 C.2/3 D.3/4 | A | ['1/2', '1/3', '2/3', '3/4'] | multi_choice |
stat474 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/474.png | If it is the line chart of the results of 5 physical fitness tests before the physical education exam for students A and B, which of the following statements is correct ( ) | B | ["A's performance is more stable, and the average score is higher.", "B's performance is more stable, and the average score is lower.", "A's performance is more stable, and the average score is lower.", "B's performance is more stable, and the average score is higher."] | multi_choice |
stat475 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/475.png | To understand the height distribution of students in a certain school, male and female students were randomly sampled, and it is known that the number of boys and girls in the sample is the same. Based on the data obtained, the following statistical chart is drawn. According to the information provided in the chart, the number of girls with a height between 160 ≤ x < 170 in the sample is ( ). | D | ['8', '6', '14', '16'] | multi_choice |
stat476 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/476.png | During the pandemic, with no classroom teaching, learning continued online. Teacher Wang used a certain software platform to randomly check the daily study times of some students and created a statistical chart as shown. The average daily study time of the students surveyed is ( ). | B | ['6.8', '7.3', '7.5', '8.1'] | multi_choice |
stat477 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/477.png | A primary school conducted after-school services, offering four sports activities: table tennis, volleyball, basketball, and football. To determine which sport is the most popular among students, 100 students were randomly selected for a survey (each student selected only one option), and the survey results were presented in the following pie chart. The incorrect statement is ( )
A. The sample size of this survey is 100
B. The number of students who prefer basketball accounts for 30% of the respondents
C. The number of students who prefer football is 40
D. The central angle of the pie chart corresponding to 'volleyball' is 10° | D | ['The sample size of this survey is 100.', 'The number of students who like basketball the most accounts for 30% of the survey.', 'The number of students who like football the most is 40.', 'The central angle corresponding to volleyball in the pie chart is 10°.'] | multi_choice |
stat478 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/478.png | In order to understand the mileage of a certain electric car after a full charge, 10 cars were inspected. The mode and median of the data are ( ). | B | ['220, 220', '210, 215', '210, 210', '220, 215'] | multi_choice |
stat479 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/479.png | A certain restaurant offers three meal packages at unit prices of 10 yuan, 18 yuan, and 25 yuan. The pie chart shows the monthly sales distribution of the meal packages at the restaurant. Based on this chart, the average unit price of the meal packages sold by the restaurant can be calculated as ( ). | C | ['10 yuan', '15 yuan', '17 yuan', '21 yuan'] | multi_choice |
stat48 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/48.png | As shown in the figure, when the spinner is spun once, there are the following events: ① the pointer falls in the region labeled 5; ② the pointer falls in the region labeled 10; ③ the pointer falls in the region labeled with an odd number. Please arrange the sequence numbers of these events in ascending order of the likelihood of occurrence ________. | ②①③ | NULL | free_form |
stat480 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/480.png | Let the history of mathematics enter the classroom, and let mathematical classics enter students' lives. In a mathematics history knowledge competition held at a school, Xiao Ming collected the results of this competition and drew the following pie chart. The average score of this competition is ( ). | D | ['85 points', '90 points', '80 points', '87.6 points'] | multi_choice |
stat481 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/481.png | As shown in the diagram, in quadrilateral ABCD, point E is the midpoint of AB, and point F is the midpoint of BC. Connecting EF, if a grain of rice is randomly dropped inside quadrilateral ABCD, what is the probability that the grain falls in the shaded area in the diagram? | C | ['1/16', '1/12', '1/8', '1/4'] | multi_choice |
stat482 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/482.png | The minimum daily temperatures for the first five days of April in areas A and B are shown in the figure. Which of the following statements is correct?
A. The median of the minimum temperatures in area A is 6°C
B. The mode of the minimum temperatures in area A is 4°C
C. The average minimum temperature in area B is 5°C
D. The minimum temperature in area B is relatively stable | A | ['The median of the lowest temperature in region Jia is 6℃', 'The mode of the lowest temperature in region Jia is 4℃', 'The lowest temperature in region Yi is relatively stable', 'The average of the lowest temperature in region Yi is 5℃'] | multi_choice |
stat485 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/485.png | After the 'Double Reduction' policy, the school conducted a survey of the average time spent by students in a certain class on extracurricular homework over seven days a week and plotted the results into a line graph. Which of the following statements is incorrect? ( ) | A | ['The average time spent on completing homework outside of class over a week is 50 minutes.', 'The median time spent on completing homework outside of class each day is 45 minutes.', 'The mode of the time spent on completing homework outside of class each day is 45 minutes.', 'The difference between the maximum and minimum time spent on completing homework outside of class each day is 120 minutes.'] | multi_choice |
stat486 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/486.png | As shown in the figure, a dart game board is composed of equally sized small square grids. A dart is randomly thrown at the game board (each dart will land on the board). What is the probability of hitting the shaded area? | B | ['1/2', '1/3', '1/4', '1/5'] | multi_choice |
stat487 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/487.png | As shown in the figure, line a || b, and line c intersects with both lines a and b. From angles ∠2, ∠3, ∠4, and ∠5, if one angle is chosen at random, what is the probability that the selected angle is supplementary to ∠1? | D | ['1/4', '2/3', '3/4', '1/2'] | multi_choice |
stat488 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/488.png | Lixia is the seventh solar term of the twenty-four solar terms and the first solar term of summer. If a statistical line chart represents the highest daily temperatures for a week in a certain province after Lixia, what is the mode of the highest daily temperatures during this week? | B. 33°C | ['35°C', '33°C', '30°C', 'No mode'] | multi_choice |
stat489 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/489.png | 10. The target completion rate generally refers to the ratio of an individual's actual completion amount to their target completion amount. Setting specific and clear goals can encourage people to perform tasks better. If there is a book club with 10 members (numbered J~J), and a statistical chart is created based on their initially set goals and actual completion at the end of the year, which of the following conclusions are correct ( ) | B | ['①②', '②③', '①③④', '①②③④'] | multi_choice |
stat49 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/49.png | A non-transparent box contains a total of 20 small balls, red and yellow, which are identical except for their color. One ball is randomly drawn, its color is recorded, and it is then replaced into the box and mixed thoroughly. Another ball is then randomly drawn. Below are the results of an experiment carried out by a group performing the activity described above:
The diagram shows the following four inferences:
① When the number of draws is 300, the recorded number of "red balls drawn" is 99, so the frequency of "red ball drawn" is 0.33;
② As the number of trials increases, the frequency of "red ball drawn" stabilizes around 0.35, indicating a certain stability. It can be estimated that the probability of "red ball drawn" is 0.35;
③ Based on the results of this experiment, it can be calculated that there are 7 red balls and 13 yellow balls in the box;
④ If the activity described above is repeated, then when the number of draws is 500, the frequency of "red ball drawn" must be 0.40.
The sequence numbers of all reasonable inferences are _____. | ②③ | NULL | free_form |
stat490 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/490.png | As shown in the diagram, a ball falls from opening A. At each intersection, it has an equal probability of moving left or right. What is the probability that the ball will ultimately exit from opening E? | B. 1/4 | ['1/2', '1/4', '1/6', '1/8'] | multi_choice |
stat491 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/491.png | 8. Four students, A, B, C, and D, sit around a table to discuss a problem. If C's seat is fixed, the other three randomly sit in any of the seats marked ①, ②, and ③. What is the probability that A and D sit next to each other? | D. 2/3 | ['1/3', '4/9', '5/9', '2/3'] | multi_choice |
stat493 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/493.png | As shown in the figure, the shape is composed of 16 identical small squares and 4 identical large squares. If a point P is randomly chosen within this shape, what is the probability that point P falls within the shaded area? | B | ['5/8', '13/50', '13/32', '5/16'] | multi_choice |
stat494 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/494.png | Leshan is a famous tourist city with rich cultural and tourism resources. A school plans to organize a study trip for 500 students in the 7th grade. Teacher Zhou from the political and education department randomly selected 50 students to investigate their preferences for study trip destinations and created the following statistical chart. Based on the chart, the number of students in the 7th grade who are willing to go to the 'Emei Residence' is ( ). | C | ['100', '150', '200', '400'] | multi_choice |
stat496 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/496.png | As shown in the figure, in order to investigate traffic flow during different time periods, an interest group at a school recorded the traffic flow of cars and buses during various time intervals. The following table shows the traffic flow of cars and buses during these periods. Which of the following statements is correct? | B. The average traffic flow of cars is higher. | ['The traffic flow of cars is stable compared to that of buses.', 'The average traffic flow of cars is larger.', 'The traffic flow of cars and buses reaches the minimum value at the same time.', 'The changes in traffic flow of cars and buses are similar.'] | multi_choice |
stat497 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/497.png | When applying for a certain project, the number of application forms submitted by the top 5 regions among 7 regions is shown in the chart. What is the median number of application forms submitted by these 7 regions? | C. 6 | ['8', '7', '6', '5'] | multi_choice |
stat498 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/498.png | To implement the requirements of the Ministry of Education regarding 'ensuring students have one hour of physical activity in school and one hour out of school daily,' the school encourages students to maintain daily physical exercise. Xiao Liang recorded his daily out-of-school exercise time (in minutes) for a week and created a statistical line chart as shown in the figure. Based on the chart, which of the following descriptions about Xiao Liang's daily out-of-school exercise time that week is correct?
A. The mean is 70 minutes
B. The mode is 67 minutes
C. The median is 67 minutes
D. The variance is 0 | B | ['The average is 70 minutes', 'The mode is 67 minutes', 'The median is 67 minutes', 'The variance is 0'] | multi_choice |
stat5 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/5.png | On April 20 this year, a 7.0-magnitude earthquake occurred in Lushan County, Ya'an. For earthquake relief, a class organized an activity called 'Donating Pocket Money to Show Love.' The donation situation for all 50 students in the class is shown in the chart below. What is the mode of the donation amounts in this activity? ______ yuan. | 10 | NULL | free_form |
stat50 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/50.png | A school held an essay competition on the theme “Technology Supports the Dream of a Strong Nation”, and the number of essays submitted by six second-grade classes was recorded and plotted in the line chart shown in the figure. What is the frequency of essays submitted by Class 1? | 1/4 | NULL | free_form |
stat500 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/500.png | On May 30, 2023, the Shenzhou 16 manned spacecraft was successfully launched, marking a milestone in China's space industry. A school conducted a survey of all 1,500 students to assess their understanding of 'aerospace knowledge.' The results were divided into four levels: A, B, C, and D (A: very knowledgeable, B: fairly knowledgeable, C: some knowledge, D: no knowledge). A sample of students' survey results was randomly taken and presented in two incomplete statistical charts. Based on the information from the charts, which of the following conclusions is incorrect?
A. The sample size is 200.
B. The percentage of C-grade students in the sample is 10%.
C. The central angle of the sector representing D-grade students is 15°.
D. It is estimated that about 900 students across the school belong to grade A. | C | ['The sample size is 200.', 'The percentage of students at level C in the sample is 10%.', 'The central angle of level D in the pie chart is 15°.', 'It is estimated that there are about 900 students at level A in the entire school.'] | multi_choice |
stat501 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/501.png | 2. In 2022, the sales of new energy vehicles (NEVs) in China continued to grow, with annual sales reaching approximately 5.726 million units, an increase of 91.7% year-on-year, maintaining the global number one position for eight consecutive years. The following statistical chart reflects the monthly sales and year-on-year growth rate of NEVs in 2021 and 2022. (The year-on-year growth rate for 2022 = (sales in the same month of 2022 - sales in the same month of 2021) / sales in the same month of 2021 × 100%). Based on the information provided in the chart, which of the following conclusions is unreasonable?
A. The highest monthly sales of NEVs in 2021 occurred in December, exceeding 400,000 units.
B. In 2022, there were six months in which monthly NEV sales exceeded 500,000 units.
C. Compared to 2022, the fastest year-on-year NEV growth rate in 2022 was in February, reaching 181.1%.
D. Compared to 2021, the year-on-year NEV growth rate in 2022 continued to decline starting from May. | D | ['In 2021, the highest monthly sales volume of new energy vehicles was in December, exceeding 407,000 units.', 'In 2022, the monthly sales volume of new energy vehicles exceeded 507,000 units for 6 months.', 'Compared to 2021, the month with the highest year-on-year growth rate of new energy vehicle sales in 2022 was February, reaching 181.1%.', 'Compared to 2021, the year-on-year growth rate of new energy vehicle sales in May and June 2022 was lower.'] | multi_choice |
stat502 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/502.png | As shown in the figure, two freely rotatable discs are used for the 'match purple' game. One disc is shown in the figure, and the other disc is also shown in the figure. If one disc lands on red and the other lands on blue, they can form purple. What is the probability of forming purple? | C | ['1/4', '1/3', '1/2', '2/3'] | multi_choice |
stat503 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/503.png | As shown in the figure, a spinning wheel is equally divided into four sector areas, which are labeled with the numbers −1, 0, π, and √5. If the wheel is spun twice and the number indicated by the pointer is recorded each time after the wheel stops (if the pointer lands on a boundary line, the spin is invalid, and the wheel is spun again), what is the probability that both recorded numbers are rational? | C. 1/4 | ['3/4', '1/3', '1/4', '1/6'] | multi_choice |
stat504 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/504.png | During online teaching, a group of students participating in a mathematics interest activity wanted to understand the stress-relief methods of ninth-grade students at their school while staying at home. They conducted a sample survey of stress-relief methods among the ninth-grade students, categorizing the methods into five types: A (enjoying food), B (talking and sharing), C (indoor physical activities), D (listening to music), and E (other methods). Each respondent was asked to choose their favorite stress-relief method. The collected data was organized into a statistical chart as shown. Based on this, estimate the number of ninth-grade students at the school (out of 600 students) who use indoor physical activities as their stress-relief method ( ). | D | ['50', '100', '150', '200'] | multi_choice |
stat505 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/505.png | As shown in the figure, there is a freely rotatable spinning wheel. After the wheel spins and stops, the probability that the pointer lands in region B is ( ). | C | ['1/4', '2/5', '1/3', '5/12'] | multi_choice |
stat506 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/506.png | As shown in the figure, which of the following conclusions is correct? | B. The number of boys in class (3) is twice the number of girls. | ['Class (2) has the fewest students', 'The number of boys in class (3) is twice the number of girls', 'Class (4) has more girls than boys', 'Class (2) and class (4) have the same number of students'] | multi_choice |
stat507 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/507.png | The highest temperature recorded in Changsha over the course of a week is shown in the chart below. Among the following statements, which one is incorrect? | B | ['The highest temperature is 32°C.', 'The median of this data set is 30.', 'The mode of this data set is 24.', 'The temperature difference between Thursday and Friday is 8°C.'] | multi_choice |
stat508 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/508.png | The age distribution of a school's football team members is shown in the diagram. Which of the following statements about the team's age statistics is correct? | D | ['The average age is 16 years old', 'The median age is 14 years old', 'If the team members are the same this year as last year, then the variance of this year is greater than last year', 'If the oldest player leaves the team, then the variance will decrease'] | multi_choice |
stat509 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/509.png | A small ball randomly rolls on the tiles of the floor as shown in the image and stops on one of the tiles. Each tile is of the same size and material. What is the probability that the ball stops on the black area? | D | ['1/2', '1/3', '4/9', '5/9'] | multi_choice |
stat510 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/510.png | In order to implement the requirements of the 'five management tasks' (homework, sleep, phones, reading materials, physical fitness), a school investigated the sleep duration of 50 students in a class and created a bar chart of their sleep duration, as shown in the figure. The average and median of the students' sleep durations are respectively ( ). | C. 7.58h, 7.5h | ['7.5h, 7.5h', '7.58h, 7h', '7.58h, 7.5h', '7.56h, 8h'] | multi_choice |
stat511 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/511.png | A school measured the height of students in Class 8 (1) (accurate to 1cm) and obtained the frequency distribution histogram as shown. Which of the following statements is correct ( )? | B | ['The total number of students in the class is 50.', 'The number of students in the highest height range is 7.', 'The number of students in the highest height range is 20.', 'The frequency distribution histogram is grouped by 10.5cm intervals.'] | multi_choice |
stat512 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/512.png | The ancient city of Wudi is a historic cultural city in Binzhou. During the May Day holiday, relevant departments conducted a random sample survey on the travel methods of tourists visiting the ancient city of Wudi and created two statistical charts (not yet complete) based on the gathered information. According to the information in the charts, which of the following conclusions is incorrect? | D | ['The sample size of this survey is 600.', 'The fan chart accounts for 10% of m.', "If there are 20,000 tourists visiting the ancient city during the 'May Day' period, 7,000 of them choose to travel by car.", 'There are 300 people in the sample who choose to travel by public transportation.'] | multi_choice |
stat515 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/515.png | As shown in the diagram, it displays the sales revenue and growth rate statistics of a certain supermarket from 2017 to 2021. Which of the following statements is correct? | D | ['In these 5 years, the sales amount first increased and then decreased.', 'In these 5 years, the growth rate first increased and then decreased.', 'In these 5 years, the growth rate in 2021 was the highest.', 'In these 5 years, the sales amount in 2021 was the highest.'] | multi_choice |
stat516 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/516.png | The labor commissioner recorded the number of family labor occurrences x (unit: times) for all classmates during a certain week, divided into 4 groups: 0≤x<3, 3≤x<6, 6≤x<9, 9≤x<12, and created a frequency distribution histogram as shown in the figure. If one student is randomly selected, what is the probability that this student's family labor occurrences were less than 6 times this week? | A | ['0.6', '0.5', '0.4', '0.32'] | multi_choice |
stat517 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/517.png | 5. With the approaching junior high school academic level examination, a school conducted subject knowledge simulation tests for four consecutive months and organized the test results into the statistical chart shown (the number of students participating in the four simulation tests remained unchanged). Among the following four conclusions, which one is incorrect ( )? | D | ['A total of 500 students participated in the simulation test.', "From the first month to the fourth month, the number of students with 'excellent' test results increased gradually.", "In the second month, the number of students with 'excellent' test results reached 50.", "The increase in the number of 'excellent' students in the fourth month is less than the increase in the number of 'excellent' students in the third month."] | multi_choice |
stat518 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/518.png | A pig farm conducted a survey of the weights of 200 pigs and obtained a frequency distribution histogram (each group includes the lower boundary but excludes the upper boundary) as shown in the figure. Among them, pigs weighing 80kg or more are ( ). | C | ['20 pigs', '50 pigs', '140 pigs', '200 pigs'] | multi_choice |
stat519 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/519.png | A group conducted an experiment to 'estimate probability using frequency' and recorded the frequency of a particular result, plotting it into the line chart shown. Which of the following experiments most likely matches this result? ( ) | C | ['There is one red ball and two yellow balls in a bag, they only have distinctions in color, and the ball drawn from the bag at random is yellow', "Tossing a fair coin, the result is 'heads up'", 'Tossing a fair six-faced die, the upward face shows 2', 'Drawing a card at random from a deck of 52 cards without jokers, the card drawn is 7 of Clubs'] | multi_choice |
stat52 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/52.png | In the spring of 2021, various schools adopted staggered lunchtimes. A certain school, in order to understand the time students take to have lunch at school, sampled 20 students' lunchtime durations and constructed a frequency distribution histogram (as shown in the figure). Based on the information in the histogram, the estimated average lunchtime for students at this school is ________ minutes. | 17.6 | NULL | free_form |
stat520 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/520.png | The following chart shows Xiao Ming's household expenditures for 2021 and 2022. Which of the following statements is correct?
A. Xiao Ming's household's total expenditure in 2022 is twice that of 2021.
B. Xiao Ming's household spent 30,000 yuan on education in 2022.
C. Xiao Ming's household spent less on food and clothing in 2022 than in 2021.
D. Xiao Ming's household spent 10,000 yuan more on entertainment in 2022 compared to 2021. | D | ["Xiaoming's household total expenditure in 2022 is twice that of 2021.", "Xiaoming's household expenditure on education in 2022 is 30,000 yuan.", "Xiaoming's household expenditure on food and clothing in 2022 is higher than that in 2021.", "Xiaoming's household expenditure on entertainment in 2022 is 10,000 yuan more than that in 2021."] | multi_choice |
stat521 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/521.png | As shown in the bar chart, based on the information provided, which of the following is correct ( ).
A. Eighth-grade students are the fewest
B. Ninth-grade boys are twice as many as girls
C. Tenth-grade female students outnumber male students
D. The number of eighth-grade and tenth-grade students is the same | B | ['8th grade has the fewest students', 'The number of boys in 9th grade is twice that of girls', '10th grade has more boys than girls', 'The number of students in 8th grade is the same as in 10th grade'] | multi_choice |
stat522 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/522.png | In a math class, the teacher led students to conduct an experiment on the 'stability of frequency,' recorded the results, and plotted a frequency line graph. The resulting line graph is shown in the figure. Which of the following is most likely to match this experiment? | D | ["In the game of 'rock, paper, scissors', the probability of drawing 'rock' is the highest.", 'After shuffling a standard deck of cards (52 cards, four suits), the probability of drawing a card with the suit of spades is 1/4.', 'In a bag containing 1 red ball and 4 white balls, the probability of drawing a white ball is 4/5.', 'Tossing a coin with heads and tails, the probability of getting heads is 1/2.'] | multi_choice |
stat523 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/523.png | The Jiangxi Provincial Bureau of Statistics has plotted the total import and export value of Jiangxi Province (unit: billion yuan) from July to December 2022 in the following line chart. Based on the information provided in the chart, which of the following statements is correct? | B | ['The total import and export value of the province in November increased by about 25% compared to October.', 'From August to December, the fastest growth in the total import and export value of the province was in September.', 'Among these six months, the month with the lowest total import and export value of the province is July.', 'From September to November, the total import and export value of the province showed an upward trend.'] | multi_choice |
stat524 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/524.png | A school organized extracurricular activities, setting up four clubs: Arts, Sports, Reading, and Interest groups (assuming that every student is required to participate in one club, and can only choose one). To understand which type of club activities students prefer, the school conducted a survey and created two incomplete statistical charts as shown in Figure ① and Figure ②. Based on the given information, which of the following conclusions is correct? ( ). A. The sample size of this survey is 50. B. The central angle corresponding to the Reading club's sector is 90°. C. There are 16 students in the sample who prefer the Sports club. D. If the school has a total of 800 students, then 200 of them prefer the Arts club. | B | ['The sample size of this survey is 50', 'The central angle of the fan-shaped corresponding to the Reading club is 90°', 'There are 16 people in the sample who like the Sports club', 'If there are 800 students in the school, then there are 200 people who like the Art club'] | multi_choice |
stat525 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/525.png | A landscaping company purchased a species of sapling. To determine the survival rate of the saplings after transplantation, they conducted random sampling and statistics on the first batch of saplings, as shown in the figure below. If the company needs approximately 1500 surviving saplings for the second batch, based on the statistical results, what would be a reasonable purchase amount for the second batch? | C. 1670 saplings | ['1350 saplings', '1500 saplings', '1670 saplings', '1800 saplings'] | multi_choice |
stat526 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/526.png | In a certain math test, some students' scores (integer scores) were sampled and organized into the frequency distribution histogram shown in the figure. Which of the following descriptions about the information in the figure is incorrect? ( )
A. The class interval in the frequency distribution histogram is 10
B. The sample size for this sampling is 60
C. The frequency for the score range 70.5–80.5 is 18
D. The pass rate (not less than 60 points) for this test is over 92% | B | ['The group interval in the frequency distribution histogram is 10.', 'The sample size for this test is 60.', 'The frequency of the score interval 70.5-80.5 is 18.', 'The pass rate for this test (not less than 60 points) is 92% or higher.'] | multi_choice |
stat527 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/527.png | As shown in the figure, in △ABC, D, E, and F are the midpoints of AF, BD, and CE, respectively. A small ball rolls freely within the region of △ABC. The probability that it stops in the blank area is ( ). | D | ['1/4', '1/5', '1/6', '1/7'] | multi_choice |
stat528 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/528.png | On February 28, 2023, the National Bureau of Statistics released the "Statistical Communiqué of the People's Republic of China on the 2022 National Economic and Social Development." The following chart shows the statistical data of "National Express Delivery Volume and Growth Rates from 2018 to 2022" published in the communiqué. Which of the following statements is incorrect? ( ) | D | ['The national express business volume in 2022 was 110.58 billion pieces.', 'The express business volume in 2022 increased by 3.7% compared to 2018.', 'The express business volume in 2022 increased by 2.1% compared to 2021.', 'The trend line of the growth rate from 2020 to 2022 shows a downward trend, indicating that the express business volume decreased year by year from 2020 to 2022.'] | multi_choice |
stat529 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/529.png | To understand the height distribution of the students in a certain school, a random sample of male and female students from the school was taken for investigation. It is known that the sample includes the same number of males and females, and the collected data was used to plot the following statistical chart: Based on the information provided by the chart, the number of females with heights in the range [165 cm, 170 cm) is: A. 6 B. 8 C. 10 D. 16 | A | ['6', '8', '10', '16'] | multi_choice |
stat53 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/53.png | In an event, a class of 50 students generously donated pocket money in response to a call for donations. If the percentage distribution of the number of students with different donation amounts is shown in the chart, what is the average donation per student in this class (in yuan)? | 13 | NULL | free_form |
stat530 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/530.png | A school conducted a survey on a portion of the 700 seventh-grade students to understand the amount of time they spent participating in social practice activities during the previous semester. Based on the data collected, the following frequency distribution histogram was plotted. Which of the following statements is correct?
A. A total of 40 students were surveyed.
B. The class width of the frequency distribution histogram is 2.
C. The frequency distribution histogram has 5 classes.
D. Among the randomly selected students, 32 students participated in social practice activities for no less than 10 hours. | B | ['A total of 40 students were surveyed.', 'The group interval of the frequency distribution histogram is 2.', 'The group interval of the frequency distribution histogram is 3.', 'Among the randomly selected students, there are 32 students whose time spent on social practice activities is not less than 10 hours.'] | multi_choice |
stat531 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/531.png | A school's basketball team has 20 players. The ages of all players are compiled into the following statistical table, but the numbers of players aged 13 and 14 were accidentally obscured by ink. Among the following statistical measures, which ones remain unaffected? ( ). A. Median, variance B. Mode, variance C. Mean, median D. Median, mode | D | ['Median, variance', 'Mode, variance', 'Mean, median', 'Median, mode'] | multi_choice |
stat532 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/532.png | To understand the vision status of middle school students in the city, 50 students from a certain school were randomly selected as a sample. The sample data was organized as shown in the figure. The median and mode of the vision status of these 50 students are ( ). | A. 4.8, 4.8 | ['4.8, 4.8', '13, 13', '4.7, 13', '13, 4.8'] | multi_choice |
stat533 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/533.png | The bar chart below displays the frequency distribution of vision levels for 50 students in Class 9 (1) at a certain school. (Each group includes the lower boundary but excludes the upper boundary.) If a vision level of 4.8 or higher (including 4.8) is considered passing, what is the passing rate for vision levels in this class? ( ) | D | ['8%', '18%', '29%', '36%'] | multi_choice |
stat534 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/534.png | In recent years, the country has introduced a series of measures to strengthen physical exercise for middle school students. A school held a fun sports activity in the seventh grade, and one of the activities was to compare the number of times participants could bounce a ping-pong ball with a paddle to a specified height within one minute. Xiao Ming was responsible for recording the results and plotted them into the frequency distribution histogram shown below. What is the percentage of participants whose bounce count fell between 15 and 20 out of the total participants? | D | ['40%', '30%', '20%', '10%'] | multi_choice |
stat535 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/535.png | As shown in the figure, points C and D are on the line segment AB, with AC:CD:DB = 3:2:1. Taking point A as the center of the circle, concentric circles are drawn with line segments AC, AD, and AB as radii. The circle with radius AC is designated as region I, the ring area containing CD is region II, and the ring area containing DB is region III. Now, using the diagram, a handful of beans are randomly thrown, and the number of beans falling into regions I, II, and III is counted. If this experiment is repeated many times, then ( ).
A. The probability of beans falling in region II is the smallest
B. The probability of beans falling in region II is the largest
C. The probability of beans falling in region III is the smallest
D. The probabilities of beans falling in regions I, II, and III are equal | A | ['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 |
stat536 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/536.png | A shopping mall sells five brands of washing machines: A, B, C, D, and E. The frequency distribution histogram of their sales volume over a certain month is shown in the figure. Based on the information provided by the histogram, which of the following statements is incorrect? | C | ['In this mall, a total of 240 washing machines were sold this month', 'This month, the frequency of sales of brand E washing machines is 0.125', "The frequency of this month's sales of brand B washing machines is 25", 'This month, the sale of brands A and D washing machines is the same'] | multi_choice |
stat539 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/539.png | A certain ninth-grade school participated in volunteer activities such as 'maintaining the residential area environment,' 'maintaining sanitation in busy streets,' and 'voluntary road cleaning.' The line chart below represents the total number of students from six ninth-grade classes participating in one of these volunteer activities on a particular day. Based on the data for these six classes, which of the following statements is true ( )? | B. The mode is 58. | ['The range is 40', 'The mode is 58', 'The median is 51.5', 'The average is 60'] | multi_choice |
stat54 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/54.png | A small ball rolls randomly on the square tiles shown in the figure and stops randomly on a tile. Each tile is of the same size and texture. What is the probability that the ball stops in the black region? ________ | 2/9 | NULL | free_form |
stat541 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/541.png | A company decides to hire an employee, and the scores of an applicant in three quality tests are shown in the table below:
Test Item Innovation Ability Professional Knowledge Language Expression
Test Scores (points) 70 80 92
The comprehensive score of these three items is determined according to the proportions shown in the diagram. What is the final score of this applicant? ( )
A. 78 points B. 79.5 points C. 80.5 points D. 82 points | B | ['78 points', '79.5 points', '80.5 points', '82 points'] | multi_choice |
stat542 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/542.png | A company prepared five types of gifts (A, B, C, D, E) for its employees during the Spring Festival. The company randomly surveyed 50 employees, each of whom could only choose one gift they liked. Based on the survey results, a pie chart was created, and it is known that the area corresponding to 'A' in the chart is 5 times the area of 'E'. The company has a total of 1200 employees. Based on this, which of the following estimations for the population is correct ( ). | B | ["The central angle of portion 'A' is 150°", "The central angle of portion 'B' is 36°", "The central angle of portion 'C' is 30°", 'The number of people choosing gift E is about 100'] | multi_choice |
stat544 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/544.png | A spider climbs onto a wall as shown in the figure, and its stopping position is random. What is the probability that it stops in the shaded area? | C. 1/3 | ['2/3', '1/2', '1/3', '1/6'] | multi_choice |
stat547 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/547.png | As shown in the diagram, the correct statement is ( )
A. Seventh-grade students are the most
B. There are twice as many boys as girls in the ninth grade
C. There are more girls than boys in the ninth grade
D. There are more students in the eighth grade than in the ninth grade | B | ['There are more students in the seventh grade.', 'The number of boys in the ninth grade is twice that of girls.', 'There are more girls than boys in the ninth grade.', 'There are more students in the eighth grade than in the ninth grade.'] | multi_choice |
stat55 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/55.png | A foreign trade company plans to export a batch of red dates packaged in 200g boxes. Two manufacturers, A and B, offer sources with the same price and similar quality. A quality inspector randomly selects 15 boxes from each manufacturer for testing and finds the average weight of the boxes to be 200g in both cases. Based on the data shown in the graph, determine which manufacturer's product better meets the specifications: _________ (fill in 'A' or 'B'). | A | NULL | free_form |
stat550 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/550.png | As shown in the figure, it demonstrates the results of simulating the experiment of tossing a beer bottle cap using a computer. The most reasonable statement is ( ).
A. When the number of tosses is 1000, the computer records a frequency of 'convex side up' as 0.443, so the probability of 'convex side up' is 0.443
B. If this experiment is simulated again, then when the number of tosses is 1000, the frequency of 'convex side up' will definitely be 0.443
C. As the number of trials increases, the frequency of 'convex side up' generally approaches a stable value near 0.440. It can be estimated that the probability of 'convex side up' is 0.440
D. When the number of tosses exceeds 5000, the frequency of 'convex side up' will definitely be 0.440 | C | ["When the number of flips is 1000, the probability of 'concave side up' recorded by the computer is 0.443, so the probability of 'concave side up' is 0.443.", 'If the actual experiment is simulated by a computer, when the number of flips is 1000, the probability must be 0.443.', "As the number of flips increases, the probability of 'concave side up' gradually stabilizes around 0.440, so the probability of 'concave side up' can be estimated to be 0.440.", "When the number of flips exceeds 5000, the probability of 'concave side up' must be 0.440."] | multi_choice |
stat551 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/551.png | As shown in the figure, it is a frequency line chart of superior-quality ping pong balls in a batch. The stable value of the frequency of superior-quality ping pong balls in this batch is approximately (to two decimal places) ( ). | B. 0.95 | ['0.91', '0.95', '0.98', '0.97'] | multi_choice |
stat552 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/552.png | Two students, Jia and Yi, conducted an experiment to estimate probabilities using frequencies. The statistical graph they provided is shown in the chart. Which of the following trials could match the given results?
A. Drawing a ball from a bag containing 3 white balls and 1 red ball, and getting a red ball
B. Rolling a six-sided die, and the result is 1
C. Tossing a coin, and it lands heads
D. Writing any integer, and it is divisible by 2 | A | ['Drawing a ball from a bag containing 2 white balls and 1 red ball, and the outcome is getting the red ball', 'Rolling a regular hexahedron dice, and the outcome is getting 1 point', 'Flipping a coin, and the outcome is getting a head', 'Writing any integer, and the outcome is that it can be divided by 2'] | multi_choice |
stat553 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/553.png | In May of this year, relevant departments conducted a survey on the travel methods of some citizens planning to visit Shanghai Disneyland. Figure 1 and Figure 2 are two incomplete statistical charts drawn based on the collected data. According to the information provided in the charts, the number of people choosing to travel by bus is ( ). | B. 6000 | ['8000', '6000', '4000', '2000'] | multi_choice |
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