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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geo1009 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1009.png | As shown in the figure, A and D are two points on circle O, BC is the diameter, AD is perpendicular to BC, if ∠D = 35°, then what is ∠OAD? | 20° | NULL | free_form |
geo1010 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1010.png | As shown in the figure, points A, B, and C are on the circle with center O, and ∠OAB = 55°. What is the measure of ∠ACB in degrees? | 35 | NULL | free_form |
geo1011 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1011.png | As shown in the figure, △ABC is inscribed in circle O, ∠A=50°, then the measure of ∠BOC is () | 100° | NULL | free_form |
geo1012 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1012.png | As shown in the figure, points A, B, and C are all on circle O. If ∠AOB = 68°, then the measure of ∠ACB is () | 34° | NULL | free_form |
geo1013 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1013.png | As shown in the figure, points A, B, and C are on circle O, and ∠AOB = 40°. What is the degree measure of ∠ACB? | 20° | NULL | free_form |
geo1014 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1014.png | As shown in the figure, AB is the diameter of circle O, and chord CD is perpendicular to AB at point E. Given that ∠CDB = 30° and the radius of circle O is 3 cm, what is the distance from the center O to chord CD? | \frac{3}{2}cm | NULL | free_form |
geo1015 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1015.png | As shown in the figure, in circle O, chord AB is parallel to chord CD. If ∠ABC = 50°, then ∠BOD is equal to () | 100° | NULL | free_form |
geo1016 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1016.png | As shown in the figure, A, B, and C are three points on circle O. If ∠AOC = 50°, what is the measure of ∠ABC? | 25° | NULL | free_form |
geo1017 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1017.png | As shown in the figure, points A, B, and C are on the circle ⊙O. If ∠ACB = 35°, then the measure of ∠AOB is () | 70° | NULL | free_form |
geo1018 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1018.png | As shown in the figure, points A, C, B, and D are four points on circle O. OA is perpendicular to BC, and ∠AOB = 50°. What is the measure of ∠ADC? | 25° | NULL | free_form |
geo1019 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1019.png | As shown in the figure, ⊙O is the circumcircle of △ABC, and ∠ABO=35°. What is the degree of ∠C? | 55° | NULL | free_form |
geo1020 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1020.png | As shown in the figure, in the plane rectangular coordinate system, circle A passes through the origin O and intersects the x-axis and y-axis at points B and C, respectively. Given B(8,0) and C(0,6), what is the radius of circle A? | 5 | NULL | free_form |
geo1021 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1021.png | As shown in the figure, given that the equilateral triangle △ABC has BC as the diameter of the circle intersecting AB at D and AC at E, if BC=2, then what is the length of CD? | √{3} | NULL | free_form |
geo1022 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1022.png | As shown in the figure, ⊙O is the circumcircle of △ABC, and ∠OCB=35°. What is the degree of ∠A? | 55° | NULL | free_form |
geo1023 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1023.png | As shown in the figure, AB is the diameter of the semicircle O, ∠BAC=60°, D is any point on the semicircle, then the degree of ∠D is () | 30° | NULL | free_form |
geo1024 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1024.png | As shown in the figure, in circle O, P is the midpoint of arc BAC, and PD is perpendicular to CD intersecting circle O at A. If AC = AD = 1, what is the length of AB? | 3 | NULL | free_form |
geo1025 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1025.png | As shown in the figure, points A, E, and B are on circle O. The inscribed angle ∠ACE is 25°, and ∠BDE is 15°. What is the measure of the central angle ∠AOB? | 80° | NULL | free_form |
geo1026 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1026.png | As shown in the figure, AB is the diameter of circle O, points C and D are on circle O, ∠AOC=40°, AC∥OD, what is the degree of ∠BOD? | 140° | NULL | free_form |
geo1027 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1027.png | Given the diagram: Points A, B, C, and D are on circle O, AB is the diameter, ∠ABC=72°, then ∠D is () | 18° | NULL | free_form |
geo1028 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1028.png | As shown in the figure, given that OB is the radius of circle O, and points C and D are on circle O, with ∠DCB = 40°, what is the measure of ∠BOD? | 80° | NULL | free_form |
geo1029 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1029.png | As shown in the figure, △ABC is inscribed in circle O, CD is the diameter of circle O, and ∠BCD=50°. What is the measure of ∠A? | 40° | NULL | free_form |
geo1030 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1030.png | As shown in the figure, points A, B, and C are on circle O. If ∠BOC = 76°, what is the measure of ∠BAC? | 38° | NULL | free_form |
geo1031 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1031.png | As shown in the figure, AB is the diameter of circle O, and C is a point on circle O. If BC = 6, AB = 10, and OD is perpendicular to BC at point D, what is the length of OD? | 4 | NULL | free_form |
geo1032 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1032.png | As shown in the figure, A, B, and C are three points on a circle O with a radius of 1. Given that ∠C = 30°, find the length of chord AB. | 1 | NULL | free_form |
geo1033 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1033.png | As shown in the figure, in circle O, AB is the diameter, ∠BAD=30°, what is the degree of ∠C? | 60° | NULL | free_form |
geo1034 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1034.png | As shown in the figure, points A, B, and C are three points on circle O. OB is perpendicular to AC, and ∠BAC = 40°. What is ∠OCA? | 10° | NULL | free_form |
geo1035 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1035.png | As shown in the figure, AB is the diameter of circle O, and C and D are two points on circle O. If ∠BAC = 50°, what is the measure of ∠ADC? | 40° | NULL | free_form |
geo1036 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1036.png | As shown in the figure, A, B, and C are points on the circle with center O. If ∠AOB = 70°, what is the measure of ∠ACB? | 35° | NULL | free_form |
geo1037 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1037.png | As shown in the figure, AC is a chord of circle O, and radius OB is perpendicular to AC at point D. If ∠ACB = 22.5° and AD = 1, what is the length of DB? | √{2}-1 | NULL | free_form |
geo1038 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1038.png | As shown in the figure, AB is the diameter of circle O, and ∠C = 20°. What is the measure of ∠BOC? | 40° | NULL | free_form |
geo1039 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1039.png | As shown in the figure, the angle between the chords AB and AC of circle O is 50°. MN are the midpoints of arcs AB and AC respectively. OM and ON intersect AB and AC at points E and F respectively. What is the measure of ∠MON? | 130° | NULL | free_form |
geo1040 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1040.png | As shown in the figure, AB is a chord of circle O. From any point on the circle, draw a chord CD perpendicular to AB. Draw the bisector of ∠OCD, which intersects circle O at point P. If AP = 5, what is the value of BP? | 5 | NULL | free_form |
geo1041 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1041.png | As shown in the figure, AB is the diameter of circle O, P is a point on the extension line of AB, PC is tangent to circle O at point C, PC=3, PB=1, then the radius of circle O is equal to () | 4 | NULL | free_form |
geo1042 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1042.png | As shown in the figure, △ABC is inscribed in circle O, and AD is tangent to circle O at point A. If ∠ABC = 40°, then ∠DAC is equal to () | 40° | NULL | free_form |
geo1043 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1043.png | Given: As shown in the figure, AB and AC are tangent to circle O at points B and C respectively. D is a point on circle O, and ∠D = 40°. What is the measure of ∠A? | 100° | NULL | free_form |
geo1044 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1044.png | As shown in the figure, the radius of circle O is 5. AB is tangent to circle O at point B. OA = 13. What is the length of AB? | 12 | NULL | free_form |
geo1045 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1045.png | As shown in the figure, PA is the tangent to circle O at point A, PO=2, and ∠APO=30°. What is the length of PA? | √{3} | NULL | free_form |
stat1 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1.png | A certain middle school has a total of 720 students. The relevant department of the school randomly selected 50 students from all students to survey their means of getting to school, and the survey results were made into a bar chart as shown. Based on this, estimate the number of students in the whole school who take the bus to school. | 216 | NULL | free_form |
stat10 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/10.png | Xiao Ming created a pie chart based on the blood types of all the students in the class. It is known that there are 20 people with type A blood. How many people have type O blood? | 10 | NULL | free_form |
stat1000 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1000.png | (1) A student practiced throwing a solid ball for five times, and the results of each throw are as follows: Throwing attempts 1 2 3 4 5 Result/m 10.5 10.2 10.3 10.6 10.4 Calculate the average distance of the five throws in meters: ___m; (2) Given a set of data 3, 5, 4, 5, 6, 6, x, and the average value is 5, find x = ___. | 10.4 7 | NULL | free_form |
stat1001 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1001.png | The shoe sizes and corresponding number of people for 25 members of a middle school track and field team are shown in the table below:
Shoe size | 35 | 36 | 37 | 38 | 39
Number of people | x-1 | x | x+1 | 5 | 4
How many of these 25 members wear shoe size x? | 36 or 37 or x=6 and 37 | NULL | free_form |
stat1002 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1002.png | The basic salaries of all employees in a certain restaurant are shown in the table below. Employees: Manager, Chef A, Chef B, Chef C, Waiter A, Waiter B, Waiter C. Monthly salaries: 7000, 5400, 4400, 1400, 1800, 1800, 1800. What is the mode of the salaries for these 7 people in yuan? What is the median in yuan? | 1800 3600 | NULL | free_form |
stat1003 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1003.png | To improve the quality of life for urban residents, the government renovated supporting facilities, including four types: leisure facilities, children's facilities, entertainment facilities, and fitness facilities. After the renovation, the government conducted a public satisfaction survey on these facilities in two communities, A and B, with the results (unit: points, full score 100) shown in the table below:
Leisure Facilities Children's Facilities Entertainment Facilities Fitness Facilities
Community A 80 82 80 81
Community B 70 70 81 80
If the facilities are assessed with a weighting ratio of 1:1:2:2, which community has higher satisfaction (fill in 'A' or 'B')? | A | NULL | free_form |
stat1004 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1004.png | To understand the 1-minute jump rope performance of Grade 9 students in Beijing, a random sample of 1000 students was taken, and the results were recorded as follows:
| Group (x) | < 150 | 150 ≤ x < 170 | 170 ≤ x < 180 | 180 ≤ x < 200 | x ≥ 200 |
| Number of people | 50 | 150 | 200 | 600 |
According to the jump rope scoring standard for Beijing's physical education examination, a score of at least 180 in 1 minute achieves a full score. Now, if you randomly select one Grade 9 student in Beijing, the probability of achieving a full score in the 1-minute jump rope test is approximately _____. | 4/5 | NULL | free_form |
stat1005 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1005.png | The table below records the results of several selection trials for four athletes in the 100-meter sprint. Now, one athlete with good performance and stable results is selected to participate in the city's 100-meter sprint event. The chosen athlete is __________. | A | NULL | free_form |
stat1006 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1006.png | The math interest group conducted a repeated experiment of 'randomly tossing a thumbtack.' After multiple trials, they obtained the following data:
Number of repeated trials: 10, 50, 100, 500, 1000
Number of times the thumbtack landed tip-up: 5, 15, 36, 205, 403
Based on this, the probability of a thumbtack landing tip-up when tossed randomly can be estimated to be approximately ______. (Rounded to one decimal place) | 0.4 | NULL | free_form |
stat1007 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1007.png | A certain middle school carried out the 'Reading Accompanies My Growth' activity. To understand the number of books read by 200 ninth-grade students in April, a survey was conducted on a random sample of 20 students. The results are shown in the table below. Based on the statistical data, approximately how many ninth-grade students read at least 3 books in April? | 130 | NULL | free_form |
stat1008 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1008.png | A school randomly selected the test scores of 400 students as a sample. The data is organized in the table below. The total number of students in grades A and B is ______. | 324 | NULL | free_form |
stat101 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/101.png | During the online learning period to combat 'COVID-19', a school aimed to study the weekly physical exercise time of 1,000 ninth-grade students. The school randomly surveyed 50 ninth-grade students and created a bar chart based on the data. According to the chart data, the number of students among these 50 whose weekly physical exercise time is not less than 7 hours is ______ students. | 20 | NULL | free_form |
stat1010 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1010.png | In a school-organized general knowledge quiz, the scores of 10 participants are as follows:
Number of Participants | 1 | 3 | 4 | 2
Scores | 80 | 85 | 90 | 95
What is the average score of these 10 participants? ______ points. | 88.5 | NULL | free_form |
stat1011 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1011.png | The germination test results of a batch of Tibetan barley seeds under the same conditions are shown in the table below:
Number of seeds per test | 50 | 1000 | 3000 | 4000 | 6000 | 10000
Number of germinated seeds | 47 | 960 | 2840 | 3800 | 5710 | 9500
Estimate the probability of germination for this batch of Tibetan barley seeds. (Round the result to 0.01) | 0.95 | NULL | free_form |
stat1012 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1012.png | In a science and innovation competition, the scores of all participating students are recorded in the following table:
Scores (points): 80 85 90 95 100
Number of students: 11 14 12 9 5
The median score of the participating students is ______ points. | 90 | NULL | free_form |
stat1013 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1013.png | In order to enrich campus life and enhance class cohesion, a certain school organized a fun sports event for seventh-grade students. The following table shows the scores (in points) of three groups from Class 1, Grade 7, in various competition events. If a group with better performance and strong overall capability is to be selected to represent the class in the whole grade competition, which group should be chosen? (Fill in 'One', 'Two', or 'Three') | Three | NULL | free_form |
stat1014 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1014.png | Xiao Huang conducted a satisfaction survey on the staple food, vegetables, meat dishes, and soup provided in school lunches. During the lunch break, he randomly surveyed 50 students in the school using a questionnaire, and the summarized data is as follows: If the school has a total of 1400 students, the approximate number of students satisfied with the staple food in the school lunch is ______ students. | 448 | NULL | free_form |
stat1016 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1016.png | A certain shooter records their shooting scores under the same conditions as follows: Based on the stability of frequency estimation, estimate the probability that the shooter hits a score of '9 or above' in a single shot. (Keep the result to two decimal places). | 0.8 | NULL | free_form |
stat1017 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1017.png | The scores of 10 shooting athletes in the first round of competition are shown in the table below:
Scores 10 9 8 7
Number 2 3 4 1
What is their average score for this round? | 8.6 | NULL | free_form |
stat1018 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1018.png | The table below records the number of shots and the number of bullseyes by a certain shooter who can perform consistently. Based on this, estimate the probability of the athlete hitting the bullseye (accurate to 0.1) ________. | 0.8 | NULL | free_form |
stat1019 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1019.png | The school organized a series of activities titled 'Learning Fuzhou Dialect.' Below are the final scores (in points) of students Xiao Ming and Xiao Hua in each category. If the final score is determined based on the ratio 4:3:3 for speaking Fuzhou dialect, telling Fuzhou stories, and singing Fuzhou songs, respectively, then the student with the highest final score is ________. (Write 'Xiao Ming' or 'Xiao Hua') | Xiao Hua | NULL | free_form |
stat102 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/102.png | As shown in the figure, if two of the switches S1, S2, S3 are randomly closed, the probability of making both bulbs light up simultaneously is ________. | 1/3 | NULL | free_form |
stat1020 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1020.png | To inspire students to care for plants and protect the ecological environment, a school organized a tree-planting activity. After the activity, the tree-planting statistics for each student in Class 8 (1) were recorded and summarized in the following table:
Tree count 3 4 5 6
Number of students 15 10 15 5
It is known that the average number of trees planted per student in Class 8 (1) is 4. The median and mode of this data are ______. | 4 and 3 | NULL | free_form |
stat1021 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1021.png | To prepare for the Binzhou City Sports Games, a county district conducted a test on four shooting athletes: A, B, C, and D. The average score x̄ (unit: rings) and variance s² (unit: rings²) of their test results are shown in the table below. According to the data in the table, which athlete with good performance and stable results should be selected for the competition? | C | NULL | free_form |
stat1022 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1022.png | The germination results of a certain plant's seeds under identical conditions are as follows:
Number of seeds in each batch: 50, 100, 300, 400, 500, 1000
Number of seeds germinated: 45, 96, 283, 380, 475, 948
The estimated probability of germination for these plant seeds is ________. (Answer to 0.01 precision) | 0.95 | NULL | free_form |
stat1023 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1023.png | April 23 is World Book Day. The school held a reading activity called 'Happy Reading, Healthy Growth.' Xiaoming randomly surveyed 30 seventh-grade students in the school about the number of extracurricular books they read in the past four months. The data is shown in the table below: What is the median number of extracurricular books read? | 9 | NULL | free_form |
stat1024 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1024.png | April 23rd is World Book Day. On this day, a school randomly selected 30 students to investigate their weekly extracurricular reading time. The statistics are as follows: Estimate the number of students in the entire school whose weekly extracurricular reading time is more than 5 hours. _________ students. | 400 | NULL | free_form |
stat1026 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1026.png | A company is hiring employees by combining a written test and an interview. Each test has a full score of 100 points. The comprehensive score is calculated with the written test accounting for 40% and the interview accounting for 60%. The scores of three candidates, identified as ①, ②, and ③, are shown in a table. Among these three candidates, the one with the highest comprehensive score is ______ points. | 88 | NULL | free_form |
stat1027 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1027.png | In order to determine whether the school has implemented the 'double reduction' policy and effectively reduced students' homework burden, Class 9(1) randomly surveyed 10 students about the duration of time they spend completing homework each day. The survey data is summarized in the table below:
Duration (h) | 2.5 | 1.5 | 1 | 0.5
Number of Students | 1 | 2 | 4 | 3
Estimate the average time Class 9(1) students spend completing homework each day, approximately _______ h. | 1.5 | NULL | free_form |
stat1028 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1028.png | A sports team is actively preparing for the Youth Olympic Games. The table below records the average score and variance² of the short track speed skating performances of four team members. Based on the data in the table, which athlete with good performance and stable scores should be selected to compete? | Athlete 2 | NULL | free_form |
stat1029 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1029.png | In a ninth-grade mathematics simulation test at a certain school, the mathematics scores of six students are shown in the table below. The median of this dataset is ________. | 96 | NULL | free_form |
stat1030 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1030.png | A shopping mall wants to understand the demand for different colors of a certain style of scarf. They surveyed the sales of 30 scarves of this style over a certain period. The data is as follows: Color A B C D E F G H Sales (pieces) 2 2 4 2 5 3 9 1. If the mall plans to purchase 200 more scarves of the same style, estimate the number of scarves with the most popular color they should buy. ______ pieces. | 60 | NULL | free_form |
stat1031 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1031.png | A certain planter planted 1,000 new species of fruit trees. To investigate the fruit yield of these 1,000 fruit trees, 50 trees were randomly selected for statistics, and their fruit yields (unit: kilograms) were recorded and organized as follows:
Fruit Yield Number of Trees
x < 50 1
50 ≤ x < 75 5
75 ≤ x < 100 20
100 ≤ x < 125 12
x ≥ 125 2
Based on the above data, estimate the number of fruit trees out of the 1,000 with a fruit yield of no less than 75 kilograms: ______. | 680 | NULL | free_form |
stat1033 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1033.png | In order to understand the weekly physical exercise time (in hours) for 500 ninth-grade students in a certain school, 50 students were randomly selected for a survey. The results are shown in the following table:
Exercise Time x (hours)
5≤x<6 6≤x<7 7≤x<8
Number of Students 10 16 15
Based on this, estimate the number of ninth-grade students in the school whose weekly physical exercise time at school is no less than 7 hours. ______ students. | 240 | NULL | free_form |
stat1034 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1034.png | A class plans to go on an educational trip during the summer vacation and intends to customize a batch of backpacks of equal capacity. The activity organizer surveyed the preferences of all 40 students in the class and obtained the following data:
Capacity/L 23 25 27 29 31 33
Number of Students/Persons 4 3 5 23 3 2
To meet the needs of the majority, the capacity of the backpacks to be customized is _______L. | 29 | NULL | free_form |
stat1035 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1035.png | To further promote quality education, continuously enrich campus cultural life, cultivate artistic sentiments, and showcase the achievements of art education for middle school students, a school held a musical instrument competition with the theme of 'Play the Melody of the Times, Showcase the Style of the Campus.' After preliminary screening, the school committee decided to select one student from four candidates (A, B, C, D) to represent the school in a district-level competition. According to statistics, the average scores (unit: points) and variances of the four students are shown in the table below:
Average Score: A 96 B 94 C 94 D 94
Variance: A 1.4 B 1.2 C 0.9 D 0.6
If the goal is to select a student with increasingly stable performance, then the chosen one should be __________. | C | NULL | free_form |
stat1036 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1036.png | Class 9 (1) of a certain school collected data on the time (in hours) spent on household chores by all 50 students over a week (calculated as 7 days) and summarized it into a frequency distribution table as follows:
Household chore time (hours per week) 0 1 2 3 4 5 Total Frequency 0.1 0.2 0.3 0.2 0.1 0.1
① How many students spent 3 hours on household chores in a week? ______; ② What is the median time (in hours) spent on household chores per week? ______ | 15 3 | NULL | free_form |
stat1037 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1037.png | To celebrate the 102nd anniversary of the founding of the Communist Party of China, enhance the students' understanding of the history of the Communist Party of China, and inspire love for the Party and patriotism, a class held a Party history knowledge competition. The scores are shown in the table below. The average of this set of data is ____. | 92.5 | NULL | free_form |
stat1038 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1038.png | In a certain school, in order to understand the extracurricular reading habits of 800 ninth-grade students, 40 students were randomly selected from the entire student body for a survey. The survey results were summarized in the following statistical table. Based on the information in the table, estimate the number of students in the entire school who spend no more than 2 hours per week on extracurricular reading. ________. | 300 | NULL | free_form |
stat1039 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1039.png | The report of the 20th National Congress of the Communist Party of China clearly points out that reading ability is an important component of high-quality talent. The table below shows the March reading statistics of 50 students in a class. What is the average reading amount for the students in March? | 2 | NULL | free_form |
stat104 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/104.png | As shown in the given chart, it shows the weights (in kg) of a certain fruit that Lily purchased 4 times. What is the median weight of the 4 instances? | 4 | NULL | free_form |
stat1040 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1040.png | After studying the physics chapter "Current and Circuit," Xiao Liang designed the circuit diagram shown in the figure, where S1, S2, and S3 represent three switches that can be closed, ⨁ represents a light bulb, and “⊥” represents a battery. When two of the three switches (S1, S2, S3) are randomly closed, the probability of the light bulb lighting up is _______. | 2/3 | NULL | free_form |
stat1041 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1041.png | The following is a statistical table of the monthly electricity consumption of 50 randomly selected households in a residential area:
Monthly electricity consumption x (kWh/household/month) | x ≤ 240 | 240 < x ≤ 300 | 300 < x ≤ 360 | 360 < x ≤ 400 | x > 400
Number of households (household) | 6 | 15 | 11 | 14 | 4
It is known that the standard for the third tier of monthly electricity consumption is 240 hours per month equals 400. If the residential area has 500 households, estimate how many households have electricity consumption in the third tier. | 400 | NULL | free_form |
stat1042 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1042.png | An appliance store, in order to motivate its salespeople, has established a reward and penalty system: any salesperson exceeding the sales target will receive a bonus. The store compiled the sales figures of all salespeople from last month and organized the data in the following table:
Last Month's Sales (in Ten Thousand Yuan) | 12 | 13 | 14 | 15 | 16
Number of People | 2 | 1 | 5 | 4 | 3
If the store manager wants approximately half of the salespeople to receive bonuses, then it would be appropriate to set this month's sales target as _______ ten thousand yuan. | 14 | NULL | free_form |
stat1043 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1043.png | 6. In an opaque bag, there are black and white balls, which are identical except for their color. The bag contains 5 white balls and m black balls. A ball is randomly drawn from the bag, its color is recorded, then it is returned to the bag and the contents are shuffled. The following table shows the number of times a white ball is drawn in a certain number of trials:
Number of trials 20 50 100 200
Number of white balls drawn 6 13 26 50
What is the value of m? ________. | 15 | NULL | free_form |
stat1045 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1045.png | Ten students are divided into two teams, Team A and Team B, for a basketball game. Their heights (in cm) are as follows:
Player Player 1 Player 2 Player 3 Player 4 Player 5
Team A 177 176 175 172 175
Team B 170 175 173 174 183
Determine whether the average height x_A ____ x_B (fill in >, <, or =), and whether the variance of heights S²_A ____ S²_B (fill in >, <, or =). | < | NULL | free_form |
stat1046 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1046.png | A school choir has 30 members. The table below shows the age distribution statistics of the members:
Age (unit: years) | 13 | 14 | 15 | 16
Frequency (unit: people) | 4 | 16 | 10 | x
For different values of x, which of the following statistical measures of age will remain unchanged? Please fill in the correct number(s):
① Mean ② Median ③ Variance ④ Mode | ②④ | NULL | free_form |
stat1047 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1047.png | A company decides to hire a manager. The scores of an applicant in three quality tests are shown in the table: the test items are innovation ability, comprehensive knowledge, and language expression, with test scores of 80, 80, and 90 respectively. The scores of the three tests are weighted into the total score in a ratio of 4:3:3. What is the total score of the applicant? | 83 | NULL | free_form |
stat1048 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1048.png | Like geese soaring in arcs and butterflies flitting about, during the jump rope all-around competition, the scores of participants A, B, and C are as shown in the table. When calculating the final score, the scores for single skips, double skips, and single-foot cross skips are weighted in the ratio of 3:4:3. Who among them has the highest final score? (Answer with 'A', 'B', or 'C') | A | NULL | free_form |
stat1049 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1049.png | A TV station recruits hosts. The comprehensive professional quality, Mandarin level, and talent show scores of candidate A are shown in the table below. According to actual needs, the TV station stipulates that the final score is determined based on the scores of the three tests (comprehensive professional quality, Mandarin, and talent show) with a weighting ratio of 5:3:2. What is the final score of candidate A? | 88 | NULL | free_form |
stat105 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/105.png | The analysis and summary after each test are very important. As shown in the figure, students A and B analyzed their recent 5 math test scores using a line chart. Based on the chart, which student has made greater progress, _______________? | A | NULL | free_form |
stat1050 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1050.png | For the problem 'The probability of a fair coin landing heads up when tossed,' many scientists have conducted thousands of experiments. Some results are shown in the table. From the table, it can be inferred that under the same conditions, when the experiment is repeated 30,000 times, the number of heads-up occurrences is _______________. | 15000 | NULL | free_form |
stat1051 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1051.png | The following table shows the weight conformity statistics (unit: person) for 50 ninth-grade students at a certain middle school. If one student is randomly selected from this grade, what is the probability that this student's weight conforms to the 'standard'? | 7/10 | NULL | free_form |
stat1052 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1052.png | A study group conducting an experiment on 'estimating probability using frequency' calculated the frequency of a particular outcome and created a table. The probability of this outcome occurring is approximately ________ (accurate to 0.1). | 0.3 | NULL | free_form |
stat1053 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1053.png | The table below shows Xiaoming's scores in the science and technology innovation competition (out of 100). What is Xiaoming's comprehensive score (in points)? | 88 | NULL | free_form |
stat1055 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1055.png | As shown in the chart, it is a statistical table (in minutes) of sports activity time at school for classmate Xiao Ruan this week. What is the median of the sports activity time for Xiao Ruan over these five days? | 70 | NULL | free_form |
stat1057 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1057.png | A middle school randomly surveyed 50 students to find out the time they spent on physical exercise at school within a week. The results are shown in the table below. What is the average time spent on physical exercise at school for these 50 students this week (in hours)? | 6.4 | NULL | free_form |
stat1058 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1058.png | This year, tourism in Harbin has boomed. A shopping mall is planning to stock 400 pairs of ice skates. It gathered the shoe sizes sold over a certain period, as shown in the following data: Based on this data, estimate the number of ice skates required for the most demanded shoe size in this shopping mall to be ______ pairs. | 120 | NULL | free_form |
stat1059 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1059.png | On March 12, 2024, China celebrates its 46th Tree Planting Day. This year's theme is 'Together Protect the Earth, Build a Beautiful Future.' The table below shows the survival rates of different batches of poplar trees planted during Tree Planting Day in a certain area. Please estimate the survival rate of poplar trees planted during Tree Planting Day, approximately _______. (Round the result to two decimal places) | 0.97 | NULL | free_form |
stat1060 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1060.png | Three contestants participated in a shooting preliminary. The average score and variance s² of their results are shown in the table below. If one contestant with relatively better performance and more stable condition needs to be chosen to participate, then ________ should be selected (fill in 'A', 'B', or 'C'). | B | NULL | free_form |
stat1061 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1061.png | 4. With the launch of school club activities, the club department conducted a survey to understand the popularity of the 'Handicraft' club among students. A random sample of students was taken to answer the question: 'Do you like the Handicraft club?' The survey results were compiled into the following incomplete statistics table. Find x-y = ________. | 0.5 | NULL | free_form |
stat1063 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1063.png | In an English test, the number of students and average scores for Grade 7 (Class 1) and Grade 7 (Class 2) are shown in the table below:
Class Number of Students Average Score (in points)
Grade 7 (Class 1) 48 80
Grade 7 (Class 2) 52 85
Calculate the average score of these two classes, which is __________ points. | 82.6 | NULL | free_form |
stat1064 | /home/yz979/scratch/chengye/math/data/original_set/statset/images/images/1064.png | The following table shows the monthly electricity consumption (in kilowatt-hours per household per month) of 60 randomly selected households in a residential area:
Monthly electricity consumption x <100 100≤x<200 200≤x<300 300≤x<400 ≥400
Number of households (households) 7 15 19 14 5
It is known that there are 1800 households in this residential area. Estimate the number of households whose monthly electricity consumption exceeds 300 kilowatt-hours. | 570 | NULL | free_form |
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