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stat212 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/212.png | The school surveyed 200 students on their mode of travel and created the pie chart shown in the image. Among these 200 students, the number of people who travel by bike is ______. | 60 people | NULL | free_form |
stat216 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/216.png | Mr. Li participated in his school's young math teachers' quality class competition. He scored 90 in the written test, 92 in the micro-lecture, and 88 in the teaching reflection. According to the weights of the written test, micro-lecture, and teaching reflection as shown in the figure, what is Mr. Li's overall score? | 91 | NULL | free_form |
stat217 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/217.png | According to the physical education graduation test scores (scores rounded to integers) of a class last year, a frequency distribution histogram is shown in the figure. If scores in the range of 27.5 to 30.5 are considered 'excellent,' what is the percentage of students in this class whose physical education scores are 'excellent'? | 28.6% | NULL | free_form |
stat218 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/218.png | As shown in the circuit diagram, when two of the switches S1, S2, S3, S4 are randomly closed, what is the probability that the light bulb will light up? ____________________. | 1/2 | NULL | free_form |
stat22 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/22.png | In recent years, outbound tourism has become an increasingly popular holiday choice for Chinese citizens. Based on the pie chart and bar chart showing different modes of outbound travel taken by residents of a certain community in 2017, the number of residents who participated in group tours in 2017 was ___. | 24 | NULL | free_form |
stat220 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/220.png | Xiaohong surveyed her classmates' favorite colors and created an incomplete pie chart (1) and bar chart (2) (with bars arranged in descending order of height). A part of the bar chart (2) was accidentally torn off. The missing color in chart (2) should be ________. | red | NULL | free_form |
stat221 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/221.png | The aerospace industry can be divided into three major fields: space technology, space applications, and space science. A certain school conducted a related competition to test students' knowledge of aerospace and recorded the competition results of all students, which were displayed in the form of the pie chart shown in the figure. The average score of the students in this class on the aerospace knowledge competition is __________ points. | 90 | NULL | free_form |
stat222 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/222.png | As shown in the line chart depicting the profit trends of Company A and Company B, which company's profit growth rate has been faster in recent years (choose 'A' or 'B')? | A | NULL | free_form |
stat223 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/223.png | A shopping mall designed a free spinning wheel as shown in the diagram to attract customers. If the pointer lands in the shaded area (including the boundary), the customer can win a prize. What is the probability that the customer wins a prize? ________. | 1/8 | NULL | free_form |
stat224 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/224.png | In a certain middle school, there are three classes in the seventh grade: Class A, Class B, and Class C, each with 40 students. The results of their math test are summarized as follows: (As shown in the diagram, each score range includes the minimum value but not the maximum value) Based on the information provided by the diagram and table, which class has the most students in the 80–90 score range? | Class A | NULL | free_form |
stat229 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/229.png | A shooting team plans to select one athlete from Athlete A, Athlete B, and Athlete C to participate in a shooting competition. During the selection process, each athlete shoots 10 times, and their average scores and variances are calculated as shown in the table. The shooting team decides to base the selection on their average scores and stability indicators. Which athlete will be selected? | Athlete C | NULL | free_form |
stat23 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/23.png | Life lies in movement. Movement penetrates every corner of life, and the advantage of movement is that it keeps our bodies in a healthy state. Xiaoming used a mobile app to record the number of steps he walked daily (unit: ten thousand steps) in November and drew a statistical chart from the records. In this set of data representing the number of steps walked each day, the median is ______ ten thousand steps. | 1.3 | NULL | free_form |
stat230 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/230.png | As shown in the figure, by sequentially connecting the midpoints of the sides of an equilateral triangle, four congruent equilateral triangles are formed. If any two of them are shaded, what is the probability that the shaded area forms a rhombus? ______. | 1/2 | NULL | free_form |
stat232 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/232.png | As shown in the figure, an equilateral triangle dartboard is divided into several smaller equilateral triangle regions. When darts are thrown at the dartboard, assume that every point on the dartboard is equally likely to be hit (if the dart hits the boundary or misses the dartboard, it will be re-thrown once). For any single dart throw, the probability of the dart hitting the shaded area is ______. | 3/16 | NULL | free_form |
stat234 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/234.png | (1) In this survey, a total of ______ students were surveyed; (2) The central angle of the sector representing 1.5 hours of outdoor activity time is ______ degrees. | 50 86.4° | NULL | free_form |
stat235 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/235.png | It is known that in a certain pie chart, the proportions of sectors A, B, and C are as shown in the figure. What is the central angle of sector B in degrees? | 144 | NULL | free_form |
stat236 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/236.png | After the implementation of the 'double reduction' policy, schools have optimized the design of students' homework, making the types of homework more diverse and significantly reducing the time spent. The following graph is a line chart showing the time spent on homework (different homework groups) each day over a week by two classmates, Jia and Yi, in a certain class. Which of the following statements is correct? _____. | ③④ | NULL | free_form |
stat237 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/237.png | There is a circular dartboard with five circles drawn on it. The radii of the circles increase in size as follows: 2cm, 4cm, 6cm, 8cm, and 10cm, as shown in the figure. What is the probability of the dart landing in the shaded region when it hits the dartboard? | 3/5 | NULL | free_form |
stat238 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/238.png | As shown in the figure, two freely rotating disks are used in a 'create purple' game. If one disk lands on red and the other lands on blue, then purple is created. What is the probability of creating purple? | 1/2 | NULL | free_form |
stat239 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/239.png | In a square region as shown in the figure, a point P is randomly selected. What is the probability that point P falls within the shaded area? | (4 - π)/4 | NULL | free_form |
stat24 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/24.png | As shown in the figure, it is a pie chart of the number of students in Class 7 (1) participating in extracurricular interest groups. The central angle of the sector representing the singing interest group is _______. | 72° | NULL | free_form |
stat241 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/241.png | Our city is hosting a Beautiful Countryside Achievements Exhibition at a certain exhibition hall. The entrance diagram of the exhibition hall is shown in the figure. The probability of Xiaoying entering through entrance A and exiting through exit E is ________. | 1/6 | NULL | free_form |
stat242 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/242.png | To comprehensively understand the growth patterns of a 'Cotton-Free Poplar' variety, a certain tree breeding test base regularly selects 1000 seedlings of this variety for random measurement. The diagram displays the height distribution (x cm) of the seedlings from a specific sampling. How many 'Cotton-Free Poplar' seedlings in this base are estimated to have a height less than 250 cm? | 460 | NULL | free_form |
stat243 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/243.png | As shown in the figure, it is a pie chart being drawn. The entire circle represents the total number of eighth-grade students participating in the extracurricular courses. Which sector represents the students participating in the 'Life Mathematics' extracurricular course, accounting for 25% of the total number of students? (Fill in 'N', 'M', 'P', or 'Q'). | N | NULL | free_form |
stat244 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/244.png | A school conducted subject knowledge simulation tests for four consecutive months and organized the test scores into a statistical chart as shown (the number of students participating in the simulation tests remained constant across the four tests). Which of the following four conclusions is incorrect? ( ) | ④ | NULL | free_form |
stat245 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/245.png | As shown in the figure, a shopping mall created two statistical charts based on sales data from January to April 2023. The sales of home appliances in March are ______ compared to the sales of home appliances in April (fill in 'greater than', 'less than', or 'equal to'). | less than | NULL | free_form |
stat246 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/246.png | In the circuit diagram shown in the figure, when any one of the switches A, B, or C is randomly closed, the probability of making the bulb light up is _______. | 1/3 | NULL | free_form |
stat247 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/247.png | In an opaque box, there are black and white balls in equal quantities. Xiaoying conducts an experiment where she mixes the balls in the box, randomly draws one ball, notes its color, and then puts it back into the box, repeating this process continuously. The frequency line chart for 'drawing a white ball' is shown in the figure. When the number of draws is sufficiently large, estimate the probability of drawing a white ball (rounded to 0.1). | 0.5 | NULL | free_form |
stat249 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/249.png | Xiao Ming hangs a regular octagonal cardboard as shown in the figure on the wall to play dart games (each dart always lands on the cardboard, and every point on the cardboard has an equal chance to be hit). What is the probability of the dart landing in the shaded area? | 1/2 | NULL | free_form |
stat25 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/25.png | The diagram below shows the results of a cumulative experiment simulating the random tossing of a coin using a computer. As the number of experiments increases, the frequency of 'pointing up' oscillates around a certain number, showing a certain stability. It can be estimated that the probability of 'pointing up' is ____________. | 0.618 | NULL | free_form |
stat252 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/252.png | On May 30, 2023, which marks the 7th National Science and Technology Workers' Day, a hand-drawn science knowledge poster competition was held in a middle school. A total of 100 works won first, second, third prizes, and excellence awards. According to the winning results, a bar chart was drawn as shown. If the award-winning works are represented as proportions in a pie chart, what is the central angle of the sector corresponding to the 'Second Prize'? ______°. | 108 | NULL | free_form |
stat253 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/253.png | "Xinyang Maojian" is one of China's top ten famous teas. Its brand value has been increasing year by year. The brand values for the past three years are as follows:
Year 2021 2022 2023
Brand Value (billion yuan) 71.08 yuan 75.27 yuan 79.84 yuan
Xiaoming used the data table above to create the following statistical diagrams:
Please explain why the two statistical diagrams are inconsistent with each other __________. | The unit length of the vertical axes in the two statistical diagrams is different, and the vertical axis of the first diagram does not start from 0. | NULL | free_form |
stat254 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/254.png | With the arrival of winter, the flu season is in full swing. To effectively prevent the flu, a certain school purchased A, B, C, and D types of moxa sticks for disinfection. Their unit prices are 30 yuan, 25 yuan, 20 yuan, and 15 yuan, respectively. If the ratio of the quantities purchased for each type to the total quantity purchased is shown in the chart, what is the average unit price of the moxa sticks purchased by the school (in yuan)? | 21 | NULL | free_form |
stat255 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/255.png | As shown in the figure, the shaded areas are formed by using the vertices and the center of the square ABCD as centers, and the radius is half the length of the square's side to draw arcs forming a closed shape. In a random needle-throwing experiment on the square ABCD, the probability of the needle landing in the shaded area is ______. | 1/2 | NULL | free_form |
stat256 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/256.png | As shown in the figure, in △ABC, △BEF is shaded, where points D, E, and F are the midpoints of BC, AC, and AB, respectively. If a point is randomly selected within △ABC, what is the probability that the point falls in the shaded region? | 1/4 | NULL | free_form |
stat257 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/257.png | As shown in the figure, it is a statistical chart of hotline calls received by a certain evening newspaper's 'Citizen Hotline' within a week. Among them, questions about environmental protection are the most, with a total of 60 calls. How many calls were related to traffic problems? | 50 | NULL | free_form |
stat259 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/259.png | The political education office of a certain school organized a survey in a certain class about 'How much do you know about the 2023 National People's Congress Government Work Report?' Afterward, two incomplete statistical charts were drawn. The number of students in this survey who 'know very little' about the 2023 National People's Congress Government Work Report is ________ students. | 4 | NULL | free_form |
stat26 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/26.png | In a certain school, to assess the physical fitness test results of seventh-grade students, the physical fitness test scores of students in Class (1) of seventh grade are categorized into four grades: A, B, C, and D, and depicted as a pie chart. It is known that 25 students fall into grade D, and the number of students in grade C is 5 times that of grade D. How many students are there in grade C? ________ How many students are there in grade D? ________ | 10 2 | NULL | free_form |
stat260 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/260.png | As shown in the figure, each small square on the game board is the same except for the color. If a person throws a dart at the game board once (assuming the dart lands on the game board), what is the probability that the dart lands on the shaded area? | 1/2 | NULL | free_form |
stat261 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/261.png | The school's end-of-term student evaluation considers five aspects: moral, intellectual, physical, aesthetic, and labor, with weights of 2:3:3:2:2 in order to determine the final score. This semester, Xiao Ming's scores in these five aspects are shown in the chart (Note: From the chart, it is known that the first aspect, 'moral,' scored 10 points). What is his final score for the semester? | 9 | NULL | free_form |
stat262 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/262.png | The chart shows the sales figures for Brand A and Brand B washing machines from 2018 to 2022. From the chart, it can be observed that the brand with faster sales growth is ___________ (fill in either 'A' or 'B'). | A | NULL | free_form |
stat263 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/263.png | As shown in the figure, it is a line chart depicting the daily water consumption (in tons) of a certain rice and flour shop from June 1st to June 5th this year. What is the variance of this set of data? | 8 | NULL | free_form |
stat264 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/264.png | Tangram is called 'Oriental Magic' by Westerners. The two pictures below are made from the same tangram puzzle. An ant crawls randomly on the figure. It is known that the probability of the ant stopping at any point on this tangram is the same. What is the probability that it stops in the shaded area? __________. | 7/16 | NULL | free_form |
stat265 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/265.png | As shown in the figure, it is a line chart of the sales of a supermarket from August to December this year. Based on the information in the chart, the sales of the month with the highest sales exceed the sales of the month with the lowest sales by _____ million yuan. | 15 | NULL | free_form |
stat266 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/266.png | There is a lottery activity with first, second, third prizes, and a consolation prize. The lottery method involves spinning a circular turntable as shown in the figure. The result is determined by the area pointed to by the pointer (the turntable is evenly divided into four areas of equal size, and if the pointer points to a boundary line, it is re-spun). The probability of the participant only winning the consolation prize is ___________. | 1/4 | NULL | free_form |
stat267 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/267.png | As shown in the figure, a rectangular piece of paper is divided into 12 identical small squares. Among them, the shaded part is part of a net of a cube. Now, from the remaining small squares, one is randomly selected. The probability that it can form a cube net together with the shaded part is ________. | 4/7 | NULL | free_form |
stat268 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/268.png | From May 1 to May 7, 2021, the daily maximum temperatures in a certain city are shown in the graph. What is the median of the maximum temperatures in ℃? | 27 | NULL | free_form |
stat269 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/269.png | As shown in the figure, in a circular turntable, the probability that the pointer lands exactly in the shaded area when it spins is 1/4. What is the central angle of the shaded area? | 90° | NULL | free_form |
stat27 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/27.png | As shown in the diagram, there is a circuit with four switches S1, S2, S3, S4 and a light bulb. Closing switch S1 alone or closing switches S2, S3, and S4 simultaneously can make the light bulb glow. Now, if any two switches are closed at random, what is the probability that the light bulb will glow? ________. | 1/2 | NULL | free_form |
stat270 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/270.png | In a certain class, the students' end-of-term conduct evaluation is determined by the aspects of moral, intellectual, physical, aesthetic, and labor education in a ratio of 2:3:2:2:1. Xiao Ming's scores in these five areas this semester are shown in the chart. What is his end-of-term conduct score? | 9 | NULL | free_form |
stat272 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/272.png | As shown in the diagram, it is a schematic of the Minesweeper game. Clicking the middle button reveals the number 6, indicating that there are 6 mines in the 8 positions surrounding the number 6. If you randomly click one of these 8 buttons, the probability of encountering a mine is __________. | 3/4 | NULL | free_form |
stat273 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/273.png | The math scores of Xiaomin in the second semester's first three exams are as follows: 90 points in the first test, 100 points in the midterm, and 95 points in the third test. As shown in the weight chart, if Xiaomin wants her total evaluation score for the second semester to not be less than 98 points, what is the minimum score she must achieve on the final math exam? | 100 | NULL | free_form |
stat274 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/274.png | As shown in the diagram, there are three switches S1, S2, S3, and two small bulbs L1 and L2 in the circuit. If randomly closing two of the three switches (S1, S2, S3), what is the probability of bulb L2 lighting up? | 1/3 | NULL | free_form |
stat275 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/275.png | The math teacher assigned 10 multiple-choice questions as classroom exercises. The class representative created a bar chart showing the performance of all students. According to the information in the chart, the median and mode of the sample data regarding the number of correctly answered questions per student are ______. | 9 questions, 9 questions | NULL | free_form |
stat276 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/276.png | The sales performance of car dealerships A and B from 2020 to 2022 is shown in the chart. The company with the faster sales growth is ________. | B | NULL | free_form |
stat278 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/278.png | A school plans to organize extracurricular sports activities which include four options: basketball, football, badminton, and volleyball. Each student can choose only one activity. Based on the students' choices, a statistical chart has been drawn as shown in the figure. If 240 students choose basketball, how many students choose volleyball? | 60 | NULL | free_form |
stat279 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/279.png | A glass ball rolls randomly on the square floor tiles as shown in the figure and stops randomly on one of the tiles. Knowing that each tile is identical in size and texture, what is the probability that the glass ball will stop in the white region? ________. | 3/4 | NULL | free_form |
stat28 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/28.png | A sample of 150 students from a certain school is extracted, and after measuring their heights, the height frequency distribution histogram is obtained as shown in the figure. It is known that the school has 1500 students in total. Estimate the number of students in the school whose height is between 160 cm and 165 cm. | 300 | NULL | free_form |
stat281 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/281.png | In the figure shown, beans are randomly scattered. Calculate the number of beans falling in regions A, B, and C. If the numbers of beans falling in these three regions are m, n, and n - 3/4 * m respectively, estimate the value of a in the figure as ________. | 1 | NULL | free_form |
stat282 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/282.png | As shown in the figure, the probability of randomly closing two of the switches S1, S2, and S3 to make the bulb light up is ______. | 2/3 | NULL | free_form |
stat286 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/286.png | 'Campus safety' has received widespread attention from society. A school conducted a random sample survey of 400 students and parents on their understanding of campus safety knowledge and created an incomplete statistical chart as shown in the figure. Based on the information in the chart, if the entire school has 2050 students, estimate the number of students who have 'very well understood' and 'basically understood' campus safety knowledge to be ______ people. | 1350 | NULL | free_form |
stat287 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/287.png | To promote traditional Chinese culture and enhance students' knowledge of poetry, a school organized a poetry recitation competition. Class 9(2) needs to select one of two students, A or B, to participate in this event. The following chart shows the selection test scores of students A and B over six rounds. It is known that the average scores of both students are equal. Considering their stability, which student should be chosen to participate in the competition? (Fill in 'A' or 'B') | B | NULL | free_form |
stat288 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/288.png | As shown in the diagram, it is a statistical chart based on the temperatures recorded at different times over six days in July in Chengdu. What is the median temperature for these six days? | 30.5 | NULL | free_form |
stat289 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/289.png | The Chinese nation has many beautiful traditional customs, one of which is eating Zongzi during the Dragon Boat Festival. To understand residents' preferences for four types of Zongzi (A, B, C, and D) that sold well last year, a food factory conducted a sampling survey in a residential area before the Dragon Boat Festival by distributing Zongzi (each resident could select only one type). Among these, 70 type-A Zongzi and 220 type-B Zongzi were distributed. Based on an incomplete pie chart, the central angle of the sector representing type-C Zongzi is ________. | 79.2° | NULL | free_form |
stat290 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/290.png | A school conducted a survey titled 'My Favorite Sports Activity,' where each student must choose and can only choose one option. A total of m students were randomly surveyed, and the results were presented in the form of an incomplete bar chart and pie chart. Among the m surveyed students, the number of students who love football is ______. The central angle of the pie chart corresponding to basketball is ______°. | 30 36 | NULL | free_form |
stat291 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/291.png | A school conducted a psychological health test for ninth-grade students to monitor their mental health. Xiaoying randomly selected 50 students from the group and created a pie chart of their test scores (in points). Based on the chart, estimate the number of ninth-grade students in the school (out of 850 students) whose test scores fall in the range 80 ≤ x < 90 points. | 238 | NULL | free_form |
stat292 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/292.png | Spin the wheel shown in the figure once. When the wheel stops, there are the following events: ① The pointer falls in the region marked with the number 6; ② The pointer falls in the region marked with multiples of 2; ③ The pointer falls in the region marked with multiples of 3. Among these events, the one with the greatest likelihood is ________. (Fill in the serial number) | ② | NULL | free_form |
stat293 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/293.png | To stimulate consumption, a shop holds a promotional event. If the total shopping amount exceeds 100 yuan, customers have a chance to spin a wheel (as shown in the figure) to win cashback. If the pointer stops on a line, it is invalid and the customer spins again. If a certain customer spends more than 100 yuan, what is the possibility that they win 20 yuan cashback? | 1/12 | NULL | free_form |
stat294 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/294.png | As shown in the figure, in a grid of small squares with side length 1, given that A and B are on the grid points, if one point C is selected arbitrarily from the remaining grid points, the probability that △ABC has an area of 1 is __________. | 2/7 | NULL | free_form |
stat296 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/296.png | A school conducted a random survey among its students to understand their participation in four sports categories: basketball, football, table tennis, and badminton. Each student was asked to choose the sport they participate in the most, and the collected data was used to create a bar chart showing the number of participants for each sport. If one student is randomly selected from the school, the probability that this student chooses basketball is approximately ______. | 3/8 | NULL | free_form |
stat297 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/297.png | As shown in the figure, the circuit has 3 switches S1, S2, S3, and 1 light bulb L. What is the probability that the light bulb lights up if any 2 switches on the circuit are closed? | 2/3 | NULL | free_form |
stat298 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/298.png | The Hong Kong International Cricket Sixes is a major event in international cricket. In one match, the heights of players from Team A and Team B were recorded, as shown in the graph. Which team's players have more consistent heights? (Answer with 'Team A' or 'Team B'.) | Team B | NULL | free_form |
stat299 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/299.png | As shown in the figure, the shape inside rectangle ABCD comes from the ancient Chinese Tai Chi diagram. It is known that the length of AB is 6, and the length of BC is 8. A small ball rolls freely inside rectangle ABCD and randomly stops in a certain area. The probability that it ultimately stops in the black area is _________ (with the result in terms of π). | 3π/32 | NULL | free_form |
stat3 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/3.png | As shown in the figure, two spinners are spun freely at the same time, and the chances of the pointer landing on each number are equal. After the spinners stop, what is the probability that both pointers land on odd numbers simultaneously? | 9/25 | NULL | free_form |
stat30 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/30.png | A certain organization organized employees to carry out tree planting activities. The relationship between the number of trees planted and the number of people is shown in Figure 20-1. From the figure, it can be seen that a total of ______ people participated in this tree planting activity, they planted a total of ______ trees, with an average of ______ trees per person (accurate to 0.01). | 30, 142, 4.73 | NULL | free_form |
stat301 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/301.png | A school conducts periodic random checks on the vision of 2000 students to comprehensively understand their vision status. As shown in the pie chart, it represents the vision data from a random check. How many students in the school have vision not less than 4.8? | 1000 | NULL | free_form |
stat302 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/302.png | As shown in the figure, this is the sales volume situation of two models of new energy vehicles, Model A and Model B, from 2019 to 2023 in a certain company. From the figure, it can be concluded that the model with faster sales growth is _______ (fill in 'Model A' or 'Model B'). | Model A | NULL | free_form |
stat303 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/303.png | As shown in the figure, A is the entrance of a park, and B, C, D, E, and F are different exits. If Xiaoxian enters the park from A and randomly chooses an exit to leave the park, what is the probability that he exits from the northern exit? | 2/5 | NULL | free_form |
stat304 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/304.png | To promote the development of sports activities, Class Three of Grade Seven in a certain school formed four sports activity groups: football, basketball, table tennis, and rope skipping. After investigation, all students in the class participated, and each student joined only one group. The number of students in each activity group is presented in the form of a bar chart and a pie chart as follows. What is the total number of students in the class? ________. What is the number of students in the basketball group? ________. What is the central angle of the pie chart representing the number of students in the rope skipping group? ________. | 48, 12, 60 | NULL | free_form |
stat305 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/305.png | As shown in the figure, it is a line graph of the sales growth rates of two brands of instant noodles. In 2022, the sales volume of brand BB is ________ brand AA. (Choose from 'higher', 'lower', or 'not necessarily higher') | not necessarily higher | NULL | free_form |
stat306 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/306.png | As shown in the figure, the Chinese tangram consists of seven geometric figures forming a square, where 1, 2, 3, 5, and 7 are isosceles right triangles, 4 is a square, and 6 is a parallelogram. A tiny insect randomly lands on the tangram. What is the probability that it lands exactly on the region of piece 6? | 1/8 | NULL | free_form |
stat307 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/307.png | Draw a line chart for two groups of data, Group A and Group B, each containing 5 data points (as shown in the diagram). The average for both groups is 13. Let the variances of Group A and Group B be s1² and s2², respectively. Then, s1² ___ s2² (fill in “>”, “=” or “<”). | > | NULL | free_form |
stat308 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/308.png | A middle school evaluates the 'Comprehensive Quality' of 450 ninth-grade students, with the evaluation results categorized into four grades: A, B, C, and D. A sample of 30 students is randomly selected for analysis, and a bar chart is created as shown. Based on estimation, the number of students in the entire grade with a 'Comprehensive Quality' evaluation grade of 'B' is approximately ______. If the evaluation grades are represented in a pie chart according to their proportions, the central angle corresponding to grade 'D' would be ______ degrees. | 135 36 | NULL | free_form |
stat31 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/31.png | In a science literacy competition organized by the school, Class 8 (3) had 25 students participating. The scores are divided into four levels: A, B, C, and D, with corresponding scores of 90, 80, 70, and 60 points, respectively. The class's results are presented in a pie chart as shown. How many students from the class scored 70 points or above in this competition? | 21 | NULL | free_form |
stat310 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/310.png | The fruit sales in this supermarket in October 2022 ______ the fruit sales in November 2022 (fill in '>' or '='). | > | NULL | free_form |
stat311 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/311.png | Xiao Ming conducted a survey on the extracurricular reading preferences of every student in his class and provided an incomplete pie chart and bar chart (the heights of the bars are arranged in descending order). Part of the bar chart was accidentally torn off. The category that should fill in the blank "( )" in the figure is _______. | Comics | NULL | free_form |
stat312 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/312.png | The first Lao Jia Henan Culture Month event in 2024 was held on January 26, aiming to share and appreciate the profound historical and cultural heritage of Lao Jia Henan. A certain community held an 'I and Henan Culture' speech contest, where the members' speech content, speech effects, and speech skills were scored according to the weights shown in the figure. It is known that a member's three original scores are 96 points for content, 95 points for effects, and 90 points for skills. What is the member's final competition score in points? | 95 | NULL | free_form |
stat314 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/314.png | 8. In a math test, some students' scores on a certain question (out of a total of 5 points) were randomly sampled, and a pie chart was drawn as shown. Estimate how many students out of 500 in the entire grade scored at least 3 points. | 350 | NULL | free_form |
stat315 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/315.png | A company evaluates its employees at the end of the year in five aspects: morality, capability, diligence, performance, and integrity, with weights of 3:2:1:2:2. The scores of a certain employee in 2023 for these five aspects are shown in the chart. What is the employee's end-of-year evaluation score in points? | 7.6 | NULL | free_form |
stat316 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/316.png | There are four different opaque cards of the same size with the same back. The front side of these cards shows the 4 patterns below. The cards are shuffled face down, and one card is randomly drawn. The probability that the pattern on the front of the drawn card is an axisymmetric figure is ______. | 3/4 | NULL | free_form |
stat317 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/317.png | As shown in the figure, the diagonal lines AC and BD of □ABCD intersect at point O, and EF and GH pass through O. E and H are on side AB, while G and F are on side CD. What is the probability of a dart landing exactly in the shaded area if it is thrown randomly within □ABCD? | 1/4 | NULL | free_form |
stat318 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/318.png | As shown in the figure, two uniformly structured spinning wheels are divided into several sectors of equal area. A fixed pointer is used, which freely spins each wheel once. When the wheel stops, each pointer points to a sector containing a number (if the pointer stops exactly on the boundary line, the wheel is spun again until the pointer points to a sector containing a number). The probability that the product of the numbers pointed to by the two pointers is even is ______. | 3/4 | NULL | free_form |
stat32 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/32.png | As shown in the diagram, each small square on the dart game board is identical except for the color. If someone throws a dart at the game board once (assuming the dart lands on the board), what is the probability that the dart lands in the shaded area? ________. | 4/9 | NULL | free_form |
stat321 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/321.png | A certain school organized some students to participate in summer camp activities at four locations: A, B, C, and D. The school purchased tickets to each location. The partially completed bar chart below shows this data, and it is given that tickets to location D account for 20% of the total tickets. If tickets are distributed randomly, what is the probability that Xiao Ming will draw a ticket to location B? | 3/10 | NULL | free_form |
stat322 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/322.png | 2. Xiaozhe is setting up a password for his newly purchased luggage lock. The password consists of 3 digits. As shown, Xiaozhe has already set the first digit to his favorite number 5 from left to right. For the second and third digits, he can choose any number from 2, 6, and 8 (numbers can be repeated), with each number having an equal probability of being chosen. What is the probability that the two remaining digits are different? ____________. | 2/3 | NULL | free_form |
stat323 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/323.png | Most of the colored light in nature can be mixed in varying proportions using red, green, and blue light, which is called the principle of the three primary colors. For example, red light and green light overlap to present yellow. As shown in the diagram, Xiao Ming made two freely rotatable discs, each divided into areas of equal size. When both discs are spun, based on the principle of the three primary colors, the probability of getting yellow is ______. | 1/3 | NULL | free_form |
stat327 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/327.png | The math teacher assigned 10 multiple-choice questions as classroom exercises, and the research representative created a bar chart to display the results of the entire class's performance. Based on the information in the chart, the median of the number of questions correctly answered by all students in the class is ______ questions. | 9 | NULL | free_form |
stat328 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/328.png | Before the start of a summer basketball training camp, the basketball skill levels of the participants are classified into four levels: A, B, C, and D, and a pie chart is created as shown in the diagram. The percentage corresponding to the D level sector is ________. | 7% | NULL | free_form |
stat329 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/329.png | As shown in Figure ①, on a flat ground, there is an irregular pattern (the shaded part in the figure). Xiao Ming wants to know the area of this pattern. He adopts the following method: using a rectangle with a length of 10m and a width of 7m to enclose the irregular pattern, then randomly throwing balls at appropriate positions (the size of the balls is negligible) and recording the number of balls landing on the irregular pattern (all balls land within the boundaries of the rectangle or inside its area). He then creates a line chart (Figure ②) based on the results of several valid trials. From this, the estimated area of the irregular pattern is approximately ______m². | 42 | NULL | free_form |
stat33 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/33.png | In the physics class, the circuit diagram of a certain experiment is shown in the figure, where S1, S2, S3 represent the switches in the circuit, L represents the small light bulb, and R is the protective resistor. If any two of the switches S1, S2, S3 are closed, the probability that the small light bulb L lights up is _________. | 3/4 | NULL | free_form |
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