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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stat554 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/554.png | 7. As shown in the figure, the results of a computer-simulated random coin toss experiment are given. Below are three inferences: ① When the number of tosses is 100, the computer records the probability of 'heads up' as 0.47; ② As the number of tosses increases, the frequency of 'heads up' stabilizes around 0.5, showin... | B | ['①', '②', '①②', '①③'] | multi_choice |
stat555 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/555.png | During a physical education class, four students, Xiaoyang, Xiaojie, Huihui, and Sisi, participated in a beanbag throwing competition. Each student threw three times, and the results are shown in the diagram. Among these four students, whose average score is approximately 8 meters? | C | ['Xiaoyang', 'Xiaojie', 'Susu', 'Sisi'] | multi_choice |
stat556 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/556.png | In a certain speech competition, the scores (in integers) of some selected students are organized and plotted into the frequency histogram as shown. Which of the following conclusions is incorrect?
A. The class width is 10
B. The total number of selected students is 50
C. The excellent rate (scores above 80 are conside... | C | ['The group interval is 10', 'The total number of selected students is 50', 'The excellence rate (score of 80 and above is excellent) is around 18%', 'The number of people with scores between 60.5 and 70.5 accounts for 20% of the total selected people'] | multi_choice |
stat557 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/557.png | As shown in the figure, in a 2×2 square grid, there are 9 grid points. Points A and B are already selected. Among the remaining 7 points, what is the probability of selecting point C such that △ABC forms a right triangle? | B | ['1/2', '4/7', '3/7', '2/5'] | multi_choice |
stat558 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/558.png | A group conducted an experiment on 'using frequency to estimate probability,' and they recorded the frequency of a particular outcome, plotted as shown in the line chart. The experiment most likely to match this result is:
A. Tossing a one-yuan coin, landing with the head facing up
B. In the game of rock-paper-scissors... | B | ['Tossing a coin and it lands heads up.', "In a game with scissors, rock, and cloth, the child randomly draws 'scissors'.", 'Removing the king of hearts from a deck of cards, the probability of drawing a red card from the remaining cards.', 'Writing a random integer, and it can be divided by 2.'] | multi_choice |
stat559 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/559.png | A landscaping company imported a certain type of sapling from another region. To assess the survival rate after transplantation, they carried out random sampling and statistical analysis on the first batch of saplings imported, as shown in the figure. If the company needs to plant 2700 surviving saplings of this type f... | C | ['2430 trees', '2700 trees', '3000 trees', '3140 trees'] | multi_choice |
stat56 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/56.png | A school has a total of 1000 students. To understand the distribution of students' middle and long-distance running results, scores of 100 randomly selected students were used to draw a bar chart, as shown. Based on the statistical knowledge you have learned, estimate the number of students in the school with excellent... | 270 | NULL | free_form |
stat560 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/560.png | The homeroom teacher invites students A, B, and C to participate in a roundtable meeting. As shown in the figure, the homeroom teacher is seated at position D, while the three students are randomly seated at positions A, B, and C. What is the probability that students A and B are seated next to each other? | A | ['1/3', '1/3', '1/4', '1/2'] | multi_choice |
stat561 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/561.png | A study group conducted an experiment on 'estimating probability using frequency' and recorded the frequency of a certain outcome. They created the following line graph. The experiment that most likely matches this result is:
A. Tossing a fair coin twice, with one heads and one tails.
B. Tossing a fair coin twice, with... | D | ['Two tosses of an evenly weighted coin, with one showing heads and one showing tails', 'Two tosses of an evenly weighted coin, both showing tails', 'Toss of an evenly weighted six-faced die, getting an odd number face up', 'Toss of an evenly weighted six-faced die, the number face up is 2 or 4'] | multi_choice |
stat562 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/562.png | A certain group, during an experiment on 'using frequency to estimate probability,' recorded the frequency of a specific outcome and plotted the line chart as shown. Which of the following experiments is most likely to correspond to this result? ( )
A. A bag contains 1 red ball and 2 yellow balls, distinguishable only ... | B | ['There is 1 red ball and 2 yellow balls in a bag, they are only different in color, randomly draw a ball is yellow', 'Toss a dice of homogeneous material with six faces, the number of points facing up when landing is 6', "In the game of 'Rock, Paper, Scissors', Xiao Ming randomly plays 'Scissors'", "Flip a coin of hom... | multi_choice |
stat564 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/564.png | Using six playing cards numbered 1, 2, 3, 4, 5, and 6 to perform an experiment estimating the probability based on frequency. Xiao Zhang recorded the frequency of a certain outcome and plotted the statistical chart as shown. The experiment corresponding to this outcome could be ( )
A. The probability that the drawn c... | A | ['The probability that the drawn card number is a multiple of 3', 'The probability that the drawn card number is an odd number', 'The probability that the drawn card number is even', 'The probability that the drawn card number is greater than 3'] | multi_choice |
stat566 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/566.png | As shown in the figure, a dart is randomly thrown onto a 3×3 grid paper. What is the probability that the dart lands in the shaded area? | C | ['1/3', '4/9', '5/9', '7/9'] | multi_choice |
stat567 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/567.png | The school canteen offers three types of lunch boxes priced at 15 yuan, 18 yuan, and 20 yuan for students to choose from (each student purchases one). The sales situation of lunch boxes on a certain day is shown in the figure. What is the average cost of the lunch boxes purchased by students on that day? | C. 17 yuan | ['15 yuan', '16 yuan', '17 yuan', '18 yuan'] | multi_choice |
stat568 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/568.png | As shown in the figure, point A is the entrance to a scenic area, and points B, C, D, and E are four different exits. Xiaohong enters the scenic area from point A, and after touring, she randomly chooses one exit to leave. What is the probability that she leaves through exit D? | A | ['1/4', '1/3', '1/2', '2/3'] | multi_choice |
stat57 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/57.png | As shown in the bar chart, which represents the age structure of a middle school mathematics interest group, the youngest member is 11 years old, and the oldest is 15 years old. Based on the data provided in the chart, the median age of the group members is _______ years. | 13 | NULL | free_form |
stat570 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/570.png | As shown in the figure, the areas of the 6 sectors on the spinning wheel are equal. When the wheel is spun once and stops, what is the probability of the event 'the pointer points to a number greater than 4 in the sector'? | C | ['5/6', '1/2', '1/3', '1/6'] | multi_choice |
stat571 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/571.png | On May 18, 2023, the 'Dalian Daily' published the results of the survey 'Next Stop: To the Museum.' A total of 36,666 valid questionnaires were collected in this survey, and the data on the question 'What do you like to see most in museums?' was made into a pie chart, as shown. Which of the following options is incorre... | C | ["The number of people who like to see 'cultural relics' is the largest.", "The number of people who like to see 'cultural and creative products' accounts for 14.3% of the survey.", "The number of people who like to see 'exhibition design' is less than 500 people.", "The angle corresponding to the 'special effects expe... | multi_choice |
stat572 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/572.png | Mr. Wang wants to investigate the 'service quality' of the property management company employed by a certain residential community. He randomly selects 300 residents who have lived there for a longer period from different households and creates a pie chart with the collected data (as shown in the diagram). In this surv... | C | ['90', '50', '30', '10'] | multi_choice |
stat573 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/573.png | In order to understand the situation of students' extracurricular sports activities, a school randomly selected some students for a survey. The data from the survey was compiled into the pie chart and bar chart shown. The number of students who participated in the badminton program among the selected students is ( ). | C. 30 people | ['15 people', '20 people', '30 people', '40 people'] | multi_choice |
stat574 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/574.png | To thoroughly study and implement the spirit of the 20th Party Congress, 50 students from Class Nine (1) conducted a knowledge competition titled 'Studying the 20th Party Congress and Advancing on a New Journey.' What are the average and median scores of the competition respectively? ( ) | C. 80.8, 70 | ['70.8, 70', '80.8, 80', '80.8, 70', '80, 70.8'] | multi_choice |
stat575 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/575.png | As shown in Figure ①, there is an irregular pattern (shaded area in the figure) on a flat ground. Xiao Ming wants to find out the area of this pattern. He adopts the following method: Using a rectangle with an area of 200 cm², he covers the irregular pattern. Then, during movement, he lets a ball randomly drop into the... | C | ['90 cm²', '80 cm²', '70 cm²', '60 cm²'] | multi_choice |
stat576 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/576.png | The ages of all members of a roller skating team are only 12, 13, 14, 15, 16 (years), and part of the data is shown in the figure. If the unique mode of the team members' ages is equal to the median, then the minimum number of members in the roller skating team is ( ). | C | ['10', '11', '12', '13'] | multi_choice |
stat577 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/577.png | The greening department of a certain city has illustrated the survival situation of a transplanted sapling in the following statistical diagram. If 1000 of these saplings are planted, estimate the number of saplings expected to survive ( ). | B. 900 | ['950', '900', '850', '800'] | multi_choice |
stat578 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/578.png | Reading can enrich knowledge and broaden horizons. On World Book Day (April 23), a school randomly surveyed 40 students about their extracurricular reading habits. The survey results were compiled into the chart shown below. Which of the following descriptions about the students' number of books read is correct? | B | ['The range is 6', 'The median is 5', 'The mode is 6', 'The average is 5'] | multi_choice |
stat580 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/580.png | As shown in the figure, in order to investigate the traffic volume at different time periods, an interest group from a certain school has recorded the traffic volumes of cars and buses during different time periods. The figure displays the traffic volumes of cars and buses for several time periods. Which of the followi... | B | ['The traffic volume of cars is stable with that of buses.', 'The traffic volume of cars is greater than that of buses at any time period.', 'The traffic volume of cars reaches the minimum value at the same time period as that of buses.', 'The changes in the traffic volume of cars and buses are similar.'] | multi_choice |
stat581 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/581.png | As shown in the figure, it is a frequency distribution histogram of charitable donations by 45 students in a certain class (each group includes the lower boundary but not the upper boundary). How many students donated 15 yuan and above (inclusive of 15 yuan)? | C | ['13 people', '28 people', '32 people', '40 people'] | multi_choice |
stat582 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/582.png | Connect two non-adjacent vertices of a regular hexagon, and shade the middle hexagon to create a dartboard as shown in the diagram. If a dart is randomly thrown at the dartboard, what is the probability that the dart lands in the shaded region? ( ) | B | ['1/4', '1/3', '1/2', '2/3'] | multi_choice |
stat584 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/584.png | When the librarian of Nanhai was sorting extracurricular books, data on three categories of books (Category A, Category B, and Category C) were made into an incomplete pie chart, as shown. Given that there are 45 books in Category A, how many books are there in Category C? | B | ['90', '120', '180', '200'] | multi_choice |
stat586 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/586.png | An online electronics store reported total sales of electronic products from August to November 2021 as shown in Figure 1. The percentage of sales from a particular tablet model in the total monthly sales during the same period is shown in Figure 2. Based on the given information, which of the following statements is i... | C | ['From August to November 2021, the total sales of electronic products in the store was 2.9 million yuan.', 'From August to November 2021, the sales amount of the tablet computer was 1.02 million yuan.', 'The sales amount of the tablet computer in November was lower than that in October.', 'The sales amount of the tabl... | multi_choice |
stat587 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/587.png | 5. During the May Day holiday, a shopping mall introduced a prize-winning activity: as shown in the figure, a spinning wheel is evenly divided into six parts, with one red part, two yellow parts, and three green parts. If you spin the wheel once, and the pointer points to the red section, you win the first prize; if it... | B | ['1', '1/6', '1/3', '1/2'] | multi_choice |
stat588 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/588.png | Xiao Qiang's final physical education test scores are shown in the table below. The final score is determined according to the proportions shown in the figure. What is Xiao Qiang's final score? | D. 96.5 points | ['90 points', '95 points', '96.25 points', '96.5 points'] | multi_choice |
stat589 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/589.png | In the Han dynasty, mathematician Zhao Shuang, while annotating the 'Zhou Bi Suan Jing,' introduced the 'Zhao Shuang's chord diagram,' which is considered a treasure of ancient Chinese mathematics. As shown in the diagram, the four right triangles in this chord diagram are all congruent, and the lengths of their two le... | D | ['7/9', '9/10', '11/12', '12/13'] | multi_choice |
stat59 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/59.png | Xiaowen counted the time residents in his community spent reading on WeChat every day and created a histogram.
There are a total of 76 people in the community surveyed.
① There are 8 people who read on WeChat for less than 20 minutes daily.
② The group who reads on WeChat for 30-40 minutes daily is the largest.
③ The g... | ③④ | NULL | free_form |
stat590 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/590.png | 8. The number of students participating in extracurricular interest groups in a school is shown in the chart. If there are 60 students in the chess group, then the number of students in the labor practice group is ( ). | B | ['75', '90', '108', '120'] | multi_choice |
stat591 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/591.png | A school conducted a sample survey on students' understanding of garbage classification (each student could only choose one option) and presented it in a pie chart as shown. It is known that 80 people chose 'basic understanding.' How many people chose 'very understanding'? ( ) | B. 60 people | ['20 people', '60 people', '80 people', '240 people'] | multi_choice |
stat592 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/592.png | 5. In the 'WeChat Exercise' app, the step count line chart for Person A and Person B from December 1 to December 7, 2023, is shown in the figure. Based on the information provided by the chart, which of the following conclusions is incorrect? ( ) | D | ["From the 1st to 3rd day, Jia's step count increases everyday", 'On December 5th, Jia and Yi have an equal step count', "From 1st to 4th day, Yi's step count decreases everyday", "From the 4th to 7th day, Yi's step count is always less than Jia's step count"] | multi_choice |
stat593 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/593.png | As shown in the figure, it is a line chart of monthly sales volume for two types of products, A and B, during the first three quarters of 2018. Based on the chart, which of the following statements is incorrect?
A. From January to June, the monthly sales volume of product B exceeded that of product A
B. In July, the sa... | C | ['From January to June, the monthly sales of product B exceeded that of product A.', 'In July, the sales of product A and product B were the same.', 'For product B, the monthly sales growth rate from July to August is the same as that from August to September.', 'The sales of product A in the first three quarters of 20... | multi_choice |
stat594 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/594.png | As shown in the figure, this illustrates the result of a computer simulation of randomly tossing a coin in a certain experiment (Note: Frequency = Number of 'heads' / Number of tosses). Below are four inferences:
A. When the number of tosses is 600, the computer records the frequency of 'heads' as 0.667;
B. As the numb... | B | ['①', '②', '③', '④'] | multi_choice |
stat595 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/595.png | As shown in the figure below, the result of a computer simulation of randomly throwing a thumbtack is displayed. There are three inferences below: ① When the number of throws is 500, the computer records a frequency of 'point up' as 0.616, so the frequency of 'point up' is 0.616; ② If this experiment is simulated using... | A | ['①③', '②③', '①②', '①②③'] | multi_choice |
stat597 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/597.png | Since ancient times, China has had the tradition of planting trees. Planting trees can purify the air, prevent desertification, and is significant for regulating the climate, conserving water resources, and reducing air pollution. It is optimal to plant trees during the Qingming Festival because the weather is warm and... | C | ['0.80', '0.85', '0.90', '0.95'] | multi_choice |
stat598 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/598.png | As shown in the figure, a circle is divided into three sectors. If the radius of the circle is 2, the central angle (in degrees) and the area of the largest sector are ( ). | B | ['108°, 6π/5', '162°, 9π/5', '150°, 5π/3', '162°, 5π/2'] | multi_choice |
stat599 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/599.png | As shown in the figure, in a grid of small squares with a side length of 1, the three vertices of △ABC are all located at grid points. If a needle is thrown into the square grid, the probability of it landing inside △ABC is ( ). | C | ['1/2', '3/4', '3/8', '7/16'] | multi_choice |
stat6 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/6.png | The pie chart shows the number of ice creams sold in various flavors at a cold drink shop in a day. The number of red bean-flavored ice creams sold is 200. How many fruit-flavored ice creams were sold? | 150 | NULL | free_form |
stat60 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/60.png | As shown in the figure, two freely rotating spinners are used to play the 'make purple' game: spin both spinners, and if one spinner lands on red and the other on blue, you can make purple. What is the probability of making purple? | 1/3 | NULL | free_form |
stat600 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/600.png | The pie chart shows Sijia's household expenses for various items in December. Based on the information provided by the chart, which of the following statements is incorrect?
A. Sijia's household spent the most on food in December.
B. Sijia's household spent 8% of their total living expenses on 'Other' in December.
C. ... | C | ['The family spent the most on food in December.', 'The family spent 8% of their total living expenses on other items in December.', 'The family spent the least on water and electricity in December.', 'The family spent half of their total living expenses on water and electricity, cultural education, and elderly care in... | multi_choice |
stat602 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/602.png | As shown in the figure, six right triangles with leg lengths 1 and √3 form two regular hexagons. If a point is randomly thrown inside this figure, what is the probability that the point falls within the smaller regular hexagon? | A | ['1/3', '√3/3', '2/3', '3/4'] | multi_choice |
stat603 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/603.png | To understand the weekly participation time in club activities among 2000 students in a school, 100 students were randomly selected for a statistical analysis, and the results are displayed in the form of a frequency distribution histogram (each interval includes the lower boundary but excludes the upper boundary). Whi... | C | ['The data is divided into 5 groups according to time, with a group distance of 2.', "The sample consists of 100 students' weekly community activity time.", 'The total population is 2000 students.', 'Among the sampled students, the number of students participating in community activities for 6-8 hours per week is the l... | multi_choice |
stat604 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/604.png | As shown in the pie chart drawn by a fish farmer based on the types of fish fry raised in the pond, it is known that the pond has 240 grass carps. What is the number of black carps raised in the pond? | C. 60 fish | ['180 fish', '120 fish', '60 fish', '24 fish'] | multi_choice |
stat605 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/605.png | As shown in the figure, the front sides of these three cards are painted with different patterns, while the back sides are completely the same. If these three cards are placed face down on the table and two cards are randomly drawn, what is the probability that both cards have a central symmetric pattern? ( ) | B | ['1/6', '1/3', '2/3', '1'] | multi_choice |
stat607 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/607.png | As shown in the figure, square ABCD is inscribed in circle O. The two diameters EF and GH of circle O intersect at right angles, and are perpendicular to the sides of square ABCD. If the side length of square ABCD is 2, then the area of the shaded region is ( ). | C | ['π/4 - 1/2', 'π/2 - 1', 'π - 2', 'π + 2'] | multi_choice |
stat608 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/608.png | In a donation activity for a Hope Primary School, 60 students from a class participated in the donation event, contributing 5 yuan, 10 yuan, 15 yuan, and 20 yuan respectively. The statistical chart is shown in the figure. What is the total donation amount for the class? | B | ['576 yuan', '675 yuan', '678 yuan', '587 yuan'] | multi_choice |
stat609 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/609.png | The bar chart below shows the frequency distribution of scores in the 'Asian Games Knowledge' competition at a certain school (each interval includes the lower bound but excludes the upper bound). How many students scored 80 or above? | D | ['60', '110', '130', '140'] | multi_choice |
stat61 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/61.png | As shown in figure ①, there is an irregular pattern (shaded part in the figure) on a flat ground. Xiao Ming wants to calculate the area of this pattern. He adopts the following method: using a rectangle with a length of 5m and a width of 4m to enclose the irregular pattern. Then, he randomly throws small balls into the... | 7m² | NULL | free_form |
stat611 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/611.png | As shown in the figure, a dart is randomly thrown onto a 3×3 square grid. What is the probability of the dart landing in the shaded area ( )? | B | ['4/9', '5/9', '1/2', '2/3'] | multi_choice |
stat612 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/612.png | In a certain physical fitness test, the school sampled the scores (integer values) of some students and organized them into the frequency distribution histogram shown below. The incorrect description based on the chart is (). | C. The excellent (90.5-100.5) rate for this test is 15%. | ['The group interval in the frequency distribution histogram is 10', 'The sample size for this test is 50', 'The proportion of students scoring between 90.5 and 100.5 is 15%', 'The frequency of the score interval 70.5 - 80.5 is 18'] | multi_choice |
stat613 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/613.png | A store sells five types of shirts with collar sizes (in cm) of 38, 39, 40, 41, and 42. To investigate the sales situation of shirts with different collar sizes, the store collected the sales data of a certain day and created the corresponding pie chart. Which collar size do you think the store sold the most shirts of ... | C | ['38 cm', '39 cm', '40 cm', '41 cm'] | multi_choice |
stat614 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/614.png | Use the two spinners shown in the figure to play the 'match purple' game, the probability of matching purple is ( ). | D. 5/9 | ['1/2', '1/4', '3/8', '5/9'] | multi_choice |
stat616 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/616.png | As shown in the diagram, the school volunteer center has drawn a bar chart showing the proposed number of volunteers to be recruited each month in the first half of 2024. Which of the following statements is incorrect? ( ) | C | ['The number of volunteers recruited in February is the least.', 'The number of volunteers recruited in April is the most.', 'The number of volunteers recruited from January to April increases month by month.', 'The number of volunteers recruited in three months is the same.'] | multi_choice |
stat617 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/617.png | As shown in the diagram, in a circular spinner, the central angles of the three sectors marked yellow, red, and green are 60°, 90°, and 210° respectively. When the spinner rotates freely and stops, what is the probability that the pointer (if the pointer lands on the boundary line, the spinner is spun again) lands on t... | B | ['1/3', '1/4', '1/6', '7/8'] | multi_choice |
stat619 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/619.png | As shown in the diagram, it is a statistical chart of the yield of three types of vegetables. Given that the yield of cucumbers is 700 kilograms, what is the yield of tomatoes? | B. 900 kilograms | ['2000 kg', '900 kg', '450 kg', '400 kg'] | multi_choice |
stat62 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/62.png | As shown in the figure, a dartboard is composed of 9 identical small squares except for their color. Assume that hitting each small square is equally probable (if the dart hits the boundary of the small square or misses the dartboard, it is re-thrown once). What is the probability of hitting the black area in a single ... | 1/3 | NULL | free_form |
stat620 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/620.png | The 2023 quarterly output value statistics chart of a factory (unit: 10,000 yuan) is shown in the figure. Which of the following statements is correct?
A. In the four quarters, the total production value increased continuously for each quarter
B. In the four quarters, the production value grew the fastest in the third... | B | ['In each of the four quarters, the total production value continues to increase', 'Among the four quarters, the total production value grows the fastest in the third quarter', 'The total production value in the second and third quarters grows at the same rate', 'Compared to the first three quarters, the total producti... | multi_choice |
stat621 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/621.png | With the continuous development of technology and increasing emphasis on environmental protection, new energy vehicles are becoming increasingly popular. A dealership of a certain brand of new energy vehicles recorded the sales for the first quarter of this year (as shown in the figure). If the monthly average growth r... | A | ['200(1 + x)^2 = 242', '242(1 + x)^2 = 200', '2(1 + x) = 242 ÷ 200', '2x = 242 - 200'] | multi_choice |
stat623 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/623.png | In daily life, during training for certain skills, a beginner's performance is often unstable. Xiaoyi and Xiaoliang's scores were recorded after 10 rounds of shooting training. Based on the information in the chart, estimate who might be the beginner ( ). | A. Xiaoliang | ['Xiaoyang', 'Xiaojing', 'Both are novices', 'Cannot be determined'] | multi_choice |
stat624 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/624.png | From the playing cards shown in the figure, a random card is drawn. What is the probability that the number on the card is a multiple of 4? | D | ['1/4', '1/3', '3/4', '1/2'] | multi_choice |
stat625 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/625.png | A dog moves around on the grid shown in the diagram. What is the probability that it ultimately stops on the shaded grid area ( )? | C | ['1/3', '4/15', '1/5', '2/15'] | multi_choice |
stat626 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/626.png | As shown in the figure, if two of the switches S₁, S₂, S₃ are randomly closed, what is the probability that the light bulb will turn on?
A. 1/2 B. 1/3 C. 2/3 D. 1/4 | C | ['1/2', '1/3', '2/3', '1/4'] | multi_choice |
stat627 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/627.png | If it is a bar chart depicting the profit growth statistics of Factory A and Factory B, which of the following statements is correct ( )
A. The profit growth rate of Factory A and Factory B is equally fast
B. The profit growth rate of Factory A is faster than that of Factory B
C. The profit growth rate of Factory B ... | B | ['The profit growth rate of A and B is the same.', 'The profit growth rate of A is faster than that of B.', 'The profit growth rate of B is faster than that of A.', 'It is impossible to compare the profit growth rates of A and B.'] | multi_choice |
stat628 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/628.png | A line chart is drawn to depict the training results of two individuals, Jia and Yi, in a specific sports project over their last five training sessions. Which of the following conclusions is incorrect?
A. Jia's results in the third and fourth sessions are the same.
B. Jia's scores were lower than Yi's in every session... | B | ["Jia's scores for the third and fourth sessions are the same", "Jia's score is lower than Yi's in each session", "Yi's score for the fourth session is two points higher than Jia's", 'The largest difference in scores between Jia and Yi occurred in the first session'] | multi_choice |
stat629 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/629.png | In the 'Classic Reading' competition, the results of 12 students from Class A and Class B of a certain school are shown in the chart. Regarding the median scores of Class A and Class B students, which of the following statements is correct?
A. Class A is greater than Class B
B. Class A and Class B are the same
C. Cl... | A | ['Class A is larger than Class B', 'Class A and Class B are the same', 'Class B is larger than Class A', 'Cannot be determined'] | multi_choice |
stat63 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/63.png | Xiaoming conducted a survey to understand the disposal of various types of household waste in the community where he lives. He randomly surveyed 50 households in the community and found that the total disposal weight of various types of household waste from these 50 households was 120 kilograms in one day. Based on the... | 72 | NULL | free_form |
stat630 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/630.png | As shown in the figure, there are 2 entrances and 2 exits in an exhibition hall. Visitors can enter through any entrance and leave through any exit. What is the probability that Xiao Ming enters through Entrance 1 and leaves through Exit B? ( ) | C | ['1/2', '1/3', '1/4', '1/6'] | multi_choice |
stat631 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/631.png | If the monthly sales figures of a luxury car brand for the months of September to December 2023 are provided, which of the following statements is incorrect?
A. The sales volume of this car brand in October 2023 is 16,000 units.
B. The sales volume of this car brand continued to grow over these four months in 2023.
C. ... | B | ['The sales volume of this brand of car in October 2023 is 16,000 units.', 'The sales volume of this brand of car continues to increase in these four months of 2023.', 'The sales volume of this brand of car is the highest in December 2023 among these four months.', 'The sales volume of this brand of car increases the f... | multi_choice |
stat632 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/632.png | As shown in the figure, there is a rectangular sheet of paper with a length of 10 cm and a width of 5 cm, with two circles each having a radius of 1 cm. What is the probability of randomly throwing a needle onto the paper and it landing inside the circles? | π/25 | ['1/50', '1/25', 'π/50', 'π/25'] | multi_choice |
stat633 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/633.png | 6. With the rapid development of the internet, online shopping has become a primary consumption method in people's daily lives. The express delivery industry in China has entered the '100 billion parcels' era. The '2018-2022 Express Delivery Volume and Growth Rate Statistics Chart,' released by the National Bureau of S... | A | ['The express delivery business volume increased year by year from 2018 to 2022.', 'The express delivery business volume decreased from 2018 to 2022.', 'The growth rate of the express delivery business volume showed a downward trend from 2018 to 2022.', 'The growth rate of the express delivery business volume was the l... | multi_choice |
stat635 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/635.png | The number of students participating in extracurricular interest groups at a certain school is shown in the statistical chart. Based on the chart, identify the correct statement among the following options ( ).
A. The number of students in subject expansion interest groups is the largest.
B. The central angle correspon... | B | ['The number of students participating in the science and technology interest group is the largest.', 'The central angle corresponding to the number of students participating in the sports interest group in the statistical chart is 90 degrees.', 'The number of students participating in the labor practice interest group... | multi_choice |
stat636 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/636.png | There are three candidates A, B, and C running for class president. Each student in the class is required to vote for one of the three candidates (candidates also participate in voting). The vote counts for the three candidates are shown in a pie chart. If the total number of students in the class is 50, the number of ... | C | ['26', '28', '30', '32'] | multi_choice |
stat637 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/637.png | 3. In 2022, the sales of new energy vehicles (NEVs) in China continued to grow, with annual sales of approximately 5.726 million units, representing a year-on-year increase of 91.7%, maintaining the number one global position for eight consecutive years. The following statistical graph illustrates the monthly sales of ... | D | ['In 2021, the monthly sales volume of new energy vehicles exceeded 400,000 units in December.', 'In 2022, the monthly sales volume of new energy vehicles exceeded 400,000 units in 8 months.', 'Compared with 2021, the month with the fastest year-on-year growth rate of new energy vehicles in 2022 was February, reaching ... | multi_choice |
stat638 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/638.png | 1. The annual expenditure statistics of households A and B are shown in the figure. According to the statistical chart, which of the following judgments about the annual education expenditure is correct? ( ). | D | ['Household A spends more on education than Household B.', 'Household A spends less on education than Household B.', 'Both households spend the same amount on education.', 'It is impossible to determine which household spends more on education.'] | multi_choice |
stat639 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/639.png | As shown in the figure, it displays the height information of six members each from Group A and Group B of a ski club. Which of the following statements is incorrect?
A. The range of Group A is 13 cm
B. The mode of Group A is 174 cm
C. The median of Group B is 176 cm
D. The variance of Group A is smaller than that of G... | D | ['The range of Group A is 13cm', 'The mean of Group A is 174cm', 'The median of Group B is 176cm', 'The variance of Group A is smaller than that of Group B'] | multi_choice |
stat640 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/640.png | Which of the following statements is correct?
A. The inspection of components of the 'Shenzhou-6' manned spacecraft uses sampling survey methods.
B. To understand the physical development of seventh-grade students nationwide, a comprehensive survey method is used.
C. If the profit growth rate changes over seven mont... | D | ["For the inspection of the parts of the 'Shenzhou VI' spacecraft, a sampling survey method is adopted.", 'In order to understand the physical fitness of primary school students across the country, a census method is adopted.', "If the profit growth rate of a certain company in the first seven months of this year is as... | multi_choice |
stat643 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/643.png | The math teacher assigned 10 multiple-choice questions as classroom practice. Gegge compiled the class's answers into a bar chart as shown. What is the frequency of students answering 8 questions correctly? | D | ['20', '10', '0.2', '0.4'] | multi_choice |
stat644 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/644.png | Recently, the 2024 Zhengzhou City High School Entrance Sports Exam project results were released, and '1-minute rope skipping' was selected as a unified exam project. Xiao Liang, a year 8 student, decided to start training for this project in advance. The results of Xiao Liang's first three training sessions are shown ... | B. 173 | ['172', '173', '174', '175'] | multi_choice |
stat645 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/645.png | The 'Zhao Shuang string diagram' is composed of four congruent right triangles and a small square in the middle, forming a large square (as shown in the figure). Xiao Liang randomly throws darts into the internal area of the large square. If the lengths of the two perpendicular sides of the right triangle are 2 and 1 r... | A | ['1/5', '1/4', '1/3', '1/6'] | multi_choice |
stat647 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/647.png | As shown in the figure, the chord diagram used by the ancient Chinese mathematician Zhao Shuang consists of a square ABCD formed by four congruent right-angled triangles. If AF=4, BF=3, what is the probability of randomly selecting a point within the square EFGH region? ( ) | D | ['1/15', '1/20', '1/24', '1/25'] | multi_choice |
stat648 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/648.png | As shown in the figure, each of the four opaque bags contains three balls of different colors. If one ball is randomly drawn from each bag, which bag makes drawing a red ball a certain event ( )? | D | ['①', '②', '③', '④'] | multi_choice |
stat649 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/649.png | As shown in the figure, based on the average height growth chart of male students in a certain area, determine during which age group the boys experience faster height growth ( ). | B | ['5-10 years', '10-15 years', '15-20 years', 'Uncertain'] | multi_choice |
stat65 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/65.png | As shown in the figure, a dartboard is made up of equilateral triangles of equal size. If a dart is thrown randomly at the dartboard (it always lands on the board), what is the probability of hitting the black region? | 1/3 | NULL | free_form |
stat650 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/650.png | If, in a grid composed of equal-sized small squares, there is a 'heart-shaped line', the math group conducted a computer simulation experiment to explore the probability that a randomly thrown point would fall precisely inside the 'heart-shaped line.' The experimental data is as follows: Total trials | 100 | 200 | 300 ... | B | ['0.46', '0.50', '0.55', '0.61'] | multi_choice |
stat651 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/651.png | The pie chart shown describes the ratings given by students at a primary school for after-school extended service (with a maximum score of 5 points). If the school has 500 students, how many students rated 5 points? | C | ['150', '100', '50', '10'] | multi_choice |
stat653 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/653.png | In a certain mathematics quality test, there were four types of questions. Xiao Ming lost 10 points in fill-in-the-blank questions, 8 points in multiple-choice questions, 6 points in computation questions, and an unspecified number of points in knowledge expansion questions. The scoring deduction is represented in a pi... | B | ['10', '6', '5', '8'] | multi_choice |
stat654 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/654.png | In a certain quality assessment, a sample of student scores (integer scores) was taken and organized into a frequency distribution histogram as shown in the figure. Which of the following descriptions is incorrect? | A | ['A total of 60 people were selected this time.', 'The frequency of each group in the histogram is 10.', 'The frequency of the group with scores between 70.5 and 80.5 is 18.', 'The pass rate (not less than 60 points) in this test is 92%.'] | multi_choice |
stat655 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/655.png | In an opaque box, there are 6 small balls marked with the numbers 1, 2, 3, 4, 5, and 6, respectively. Aside from the difference in marked numbers, there is no other distinction. Xiao Hua conducts a certain type of repetitive ball-drawing experiment, where a ball is randomly drawn from the opaque box, the number on the ... | D | ['Drawing a ball labeled with an odd number', 'Drawing a ball labeled with the number 5', 'Drawing a ball labeled with a number greater than or equal to 2', 'Drawing a ball labeled with a number that is a multiple of 3'] | multi_choice |
stat656 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/656.png | At a certain school, students come from three regions: A, B, and C, with a ratio of 2:3:5 in terms of their numbers, as shown in the pie chart. Which of the following statements is incorrect?
A. The central angle of sector A is 72°.
B. The central angle of sector B is 108°.
C. The number of students from region C is h... | D | ['The central angle of the sector for Jia is 72°', 'The central angle of the sector for Yi is 108°', 'The number of students in Bing region is half of the total number of students', 'The sum of the number of students in Jia and Yi regions is more than the number in Bing region'] | multi_choice |
stat657 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/657.png | In a children's amusement park ball pit, there are four colors of ocean balls: red, yellow, blue, and white. Staff have created a statistical chart based on the number of ocean balls of different colors, as shown in the figure. It is known that there are 1200 red ocean balls. What is the number of white ocean balls? ( ... | C | ['2100个', '1800个', '900个', '180个'] | multi_choice |
stat658 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/658.png | Xiaoliang insists on exercising every day. He recorded the time (in minutes) he exercised each day for a week and created the statistical chart shown in the figure. Based on the chart, which of the following descriptions about Xiaoliang's daily exercise time that week is correct? | B. The mode is 67 minutes. | ['The average is 70 minutes', 'The mode is 67 minutes', 'The median is 67 minutes', 'The variance is 0'] | multi_choice |
stat659 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/659.png | As shown in the figure, a group of students conducted an experiment on 'frequency estimation of probability,' and the frequency distribution line chart of a certain experimental result is given. The experiments that might conform to the result shown in the chart are ( ). ① Tossing a fair die and getting the number '2';... | C | ['①②', '①②③', '②④', '②③④'] | multi_choice |
stat660 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/660.png | 2. A semicircle is formed with the side length of a square as its diameter, and a shaded region is created as shown in the figure. If a dart is randomly thrown onto the surface of the square target, the probability of the dart landing in the shaded region is ( ). | D | ['1/4', '1/3', '3/8', '1/2'] | multi_choice |
stat661 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/661.png | A certain school conducted mock tests on subject knowledge for four consecutive months, and the test scores were compiled and presented as shown in the statistics (the number of students participating in the mock tests remained the same for all four times). Which of the following conclusions is incorrect? | D | ['A total of 500 students participated in the mock tests', "The number of 'excellent' students increased the most in the second month", "From January to April, the proportion of students with 'excellent' test results in the total number of students gradually increased", "The number of students with 'excellent' test res... | multi_choice |
stat662 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/662.png | As shown in the figure, an ant crawls on a horizontally placed circular tile. The pattern on the tile consists of three diameters dividing the larger of two concentric circles into six equal parts. What is the probability that the ant stays in the shaded area ( )? | B | ['1/3', '1/2', '2/3', '3/4'] | multi_choice |
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