id
stringlengths 4
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stringlengths 77
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| query
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| answer
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| choice
stringlengths 4
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| question_type
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values |
|---|---|---|---|---|---|
stat694
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/694.png
|
Use the two freely rotating spinners shown in the diagram to play the 'Match Purple' game: spin the two spinners separately. If one spinner lands on red and the other lands on blue, purple can be matched. What is the probability of matching purple ( )?
|
D. 1/2
|
['1', '3/4', '1/3', '1/2']
|
multi_choice
|
stat698
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/698.png
|
As shown in the figure, Xiao Ming has a square dartboard with a side length of 4 cm. Points A and B are the midpoints of two adjacent sides of the dartboard. If Xiao Ming randomly throws a dart at the dartboard, what is the probability that the dart lands in the shaded area?
|
D
|
['1/2', '1/4', '3/4', '3/8']
|
multi_choice
|
stat7
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/7.png
|
The bar chart shown represents the age distribution of a school's male soccer team. What is the median age of these soccer players?
|
15.
|
NULL
|
free_form
|
stat701
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/701.png
|
As shown in the figure, the math interest study group conducted an experiment titled 'Using Frequency to Estimate Probability,' resulting in the given frequency distribution line graph. Which experiment matches this result?
A. Tossing two coins, one landing heads up and the other tails up
B. Rolling a fair six-sided die, with the top face showing a multiple of 2
C. Drawing one ball from an opaque bag containing 4 red balls and 2 black balls (all balls are identical except for color), with the drawn ball being black
D. Drawing one card from a shuffled deck of 52 cards (without jokers), with the card's suit being hearts
|
C
|
['Flip two coins, one heads up and one tails up.', 'Roll a fair die, and the number of dots on the top face is twice the number of dots on the bottom face.', 'A box contains 4 red balls and 2 black balls (excluding the color of the balls), draw one ball from the box, and the ball drawn is black.', 'Draw a card from a deck of cards, and the card drawn is a red card.']
|
multi_choice
|
stat702
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/702.png
|
A shopping mall designed a free spinning wheel as shown in the figure to attract customers. When the pointer points to the shaded area, the customer will receive a prize. What is the probability that the customer wins a prize?
|
C. 1/10
|
['1/6', '1/8', '1/10', '1/36']
|
multi_choice
|
stat705
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/705.png
|
In order to understand the speed of vehicles coming and going at an intersection during a certain time period, the traffic police randomly recorded the speed of some vehicles during this period as shown in the diagram. What is the average speed of vehicles during this period? ( )
|
C
|
['51.8 km/h', '52 km/h', '52.2 km/h', '52.5 km/h']
|
multi_choice
|
stat706
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/706.png
|
As shown in the figure, △ABC has an area of 3, point D is on side BC, and CD=2BD. Point E is the midpoint of side AC. Connect AD and DE. Assuming points can be freely chosen in the figure, what is the probability of the point being within the shaded area?
|
B
|
['1/2', '1/3', '2/3', '1/4']
|
multi_choice
|
stat708
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/708.png
|
As shown in the figure, it is a line chart of monthly profits for the second half of the year for Hotel A and Hotel B. The two hotels are comparable in scale. To evaluate the average monthly profit levels of these two hotels from July to December, the appropriate statistical measure would be ( ).
|
B. Mean
|
['Median', 'Mean', 'Mode', 'Variance']
|
multi_choice
|
stat709
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/709.png
|
As shown in the diagram, it is a statistical chart of the profit situation of Company A and Company B from January to August. Based on the chart, which of the following statements is incorrect?
A. The profit of Company A is decreasing
B. The profit of Company B increased between January and April
C. The profit of Company B in September must be greater than that of Company A
D. In August, the two companies achieved the same profit
|
C
|
['The profit of company A is declining.', 'The profit of company B increased from January to April.', 'The profit of company B in September must be higher than that of company A.', 'In August, both companies achieved the same profit.']
|
multi_choice
|
stat714
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/714.png
|
As shown in the figure, this is a line chart of temperature changes from 8:00 to 20:00 on a certain day in a certain city. Based on the information provided by the chart, which of the following descriptions is correct ( )?
|
C
|
['During this period, the lowest temperature is 22°C.', 'From 8:00 to 10:00, the temperature rises the fastest.', 'From 14:00 to 20:00, the temperature shows a downward trend.', 'From 14:00 to 16:00, the temperature drops the fastest.']
|
multi_choice
|
stat715
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/715.png
|
According to the following two statistical charts, which of the following statements is correct ( ).
|
D. The sugar-sweetened beverages from Factory A are not necessarily more than those from Factory B.
|
['The number of sugary drinks in Factory A is more than that in Factory B.', 'The number of sugary drinks in Factory B is more than that in Factory A.', 'The number of sugary drinks in Factory B is less than that in Factory A.', 'The number of sugary drinks in Factory A is not necessarily more than that in Factory B.']
|
multi_choice
|
stat72
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/72.png
|
As shown in the figure, it is a pie chart showing the number of ice creams sold in a day at a certain cold drink shop. If 400 red bean flavored ice creams were sold, how many cream flavored ice creams were sold? ______.
|
300
|
NULL
|
free_form
|
stat722
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/722.png
|
In recent years, China's aviation industry has made significant breakthroughs, greatly stimulating the enthusiasm and interest of the public in aerospace. A certain school actively held an aerospace knowledge competition across the whole school, then randomly selected some students' competition scores (scores are integers, with a maximum of 100 points) for statistics, and drew a frequency distribution histogram as shown in the figure. Which of the following statements is incorrect? ( )
|
C
|
['The sample size is 40.', 'The number of people with scores between 70.5 and 80.5 is 14.', 'The number of people with scores between 50.5 and 60.5 accounts for 12% of the total sample size.', "The proportion of the school's scores above 90 is about 5%."]
|
multi_choice
|
stat727
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/727.png
|
To protect the ecological environment on which humans depend for survival, China has designated March 12 as China's Arbor Day. On Arbor Day, a school organized each class to participate in tree-planting activities. Afterward, the number of trees planted by each class was counted and illustrated using the following frequency distribution histogram (each group includes the lower bound but excludes the upper bound):
Based on the statistical results, which of the following statements is incorrect? ( )
A. A total of 24 classes participated in the tree-planting activity.
B. The class interval of the frequency distribution histogram is 5.
C. Three classes planted fewer than 35 trees.
D. Three classes each planted 45 trees.
|
D
|
['A total of 24 classes participated in the tree planting activity', 'The group distance of the frequency distribution histogram is 5', 'The number of trees planted by 3 classes is less than 35', 'There are 3 classes that planted 45 trees']
|
multi_choice
|
stat732
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/732.png
|
A school plans to establish a student sports club. To understand students' preferences for different sports, the school randomly selected some students to participate in a survey titled 'My Favorite Sport.' In this survey, each student was required to choose only one sport from 'basketball,' 'soccer,' 'table tennis,' 'aerobics,' and 'running.' Two incomplete statistical charts were created based on the survey results. Which of the following statements is correct? ( ). A. This survey was a complete survey B. In this survey, the school surveyed a total of 180 students C. The central angle of the pie chart corresponding to the 'running' project is 72° D. In this survey, 30 students chose soccer as their favorite sport.
|
C
|
['This survey is a full survey.', 'In this survey, the school surveyed a total of 180 students.', "The angle of the sector corresponding to the 'running' item in the pie chart is 72°.", 'In this survey, the number of students who chose basketball is 30.']
|
multi_choice
|
stat742
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/742.png
|
In order to understand the extracurricular reading volume of her classmates in one week, Xiao Li randomly selected 15 students in her class to conduct a survey and plotted the results into a line chart as shown in the diagram. Which of the following statements is correct?
A. The average is 2.5, and the mode is 3
B. The average is 2, and the mode is 6
C. The mode is 2, and the median is 2
D. The mode is 2, and the median is 3
|
C
|
['The average number is 2.5, and the mode is 3', 'The average number is 2, and the mode is 6', 'The mode is 2, and the median is 2', 'The mode is 2, and the median is 3']
|
multi_choice
|
stat743
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/743.png
|
In order to understand the driving speed of vehicles on a certain road section, traffic police recorded the speeds (in km/h) of vehicles traveling on the road between 7:00 AM and 9:00 AM and plotted the data as a bar chart. What are the mode and median of these speeds, respectively?
|
D
|
['The mode is 70 km/h, the median is 70 km/h', 'The mode is 60 km/h, the median is 70 km/h', 'The mode is 60 km/h, the median is 60 km/h', 'The mode is 70 km/h, the median is 60 km/h']
|
multi_choice
|
stat746
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/746.png
|
At this year's National People's Congress, we can feel the warmth of people's livelihood from the government work report: in 2023, the per capita disposable income of residents increased by 6.1%, and the income gap between urban and rural residents continued to narrow. Achievements in poverty alleviation have been consolidated and expanded, with the income of rural residents in poverty-stricken areas increasing by 8.4%. Below is a bar chart showing the per capita disposable income of residents in Yunnan Province from 2018 to 2023:
Which of the following conclusions is correct? ( )
A. The growth rate of per capita disposable income of residents in Yunnan Province in 2019 was approximately 9.95%.
B. From 2018 to 2023, the per capita disposable income of residents in Yunnan Province fluctuated, sometimes increasing, sometimes decreasing.
C. In 2023, the per capita disposable income of residents in Yunnan Province increased by 6300 yuan compared to 2020.
D. From 2018 to 2023, the year with the highest growth rate in per capita disposable income of residents in Yunnan Province was 2020.
|
A
|
['In 2019, the per capita disposable income of residents in Yunnan Province increased by about 9.95%', 'From 2018 to 2023, the per capita disposable income of residents in Yunnan Province has declined', 'In 2023, the per capita disposable income of residents in Yunnan Province increased by 6300 yuan compared to 2020', 'From 2018 to 2023, the year with the largest increase in per capita disposable income of residents in Yunnan Province was 2020']
|
multi_choice
|
stat748
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/748.png
|
If the weather conditions in a certain county from March 11 to March 17 are given, the correct judgment is ( ).
A. The variance of the lowest temperatures is greater than the variance of the highest temperatures
B. The median of the temperature differences over these seven days is 4°C
C. The mode of the temperature differences over these seven days is 15°C
D. The mean of the temperature differences over these seven days is 7°C
|
B
|
['The range of the lowest temperature is greater than the range of the highest temperature.', 'The median of the temperature difference is 4°C.', 'The mode of the temperature difference is 15°C.', 'The average of the temperature difference is 7°C.']
|
multi_choice
|
stat749
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/749.png
|
The table below is a statistical table of the age distribution of 20 members of a certain community. Part of the data was accidentally torn off, but it is still possible to analyze and derive the statistical measure of the ages of these 20 members ( ).
|
C
|
['Mean', 'Variance', 'Median', 'Mode']
|
multi_choice
|
stat750
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/750.png
|
In order to understand the implementation of the 'Sunny Sports' program among students, a school randomly surveyed 40 students regarding the amount of time they exercised in a week and created the bar chart as shown. Based on the data provided in the chart, the mode and median of the time 40 students spent exercising in a week are ( ).
A. 16, 16
B. 8, 9
C. 9, 8
D. 16, 13
|
B. 8, 9
|
['16, 16', '8, 9', '9, 8', '16, 13']
|
multi_choice
|
stat752
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/752.png
|
As shown in the figure, the result of a certain experiment simulating the random tossing of a thumbtack using a computer is provided. The figure gives four inferences based on the experimental results. Which one is reasonable?
|
C
|
['When the number of throws is 1000, the number of times the needle points up is 620.', 'When the number of throws is 1000, the probability of the needle pointing up is 0.620.', 'As the number of experimental throws increases, the probability of the needle pointing up stabilizes around 0.618, so it can be estimated that the probability of the needle pointing up is 0.618.', 'If the experiment is simulated again, the number of throws is 1000, and the probability of the needle pointing up is 0.620.']
|
multi_choice
|
stat754
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/754.png
|
The following is a sales data chart for a mobile phone store from January to April. Analyzing the chart, four students have drawn four conclusions about the sales performance of L-brand mobile phones in March and April. Which one is correct?
A. The sales revenue of L-brand mobile phones in April was 650,000 yuan.
B. The sales revenue of L-brand mobile phones in April increased compared to March.
C. The sales revenue of L-brand mobile phones in April decreased compared to March.
D. The sales revenue of L-brand mobile phones in March and April cannot be compared, only the total sales revenue of the store can be compared.
|
B
|
['The sales amount of L brand mobile phones in April was 650,000 yuan.', 'The sales amount of L brand mobile phones in April increased compared to March.', 'The sales amount of L brand mobile phones in April decreased compared to March.', 'The sales amount of L brand mobile phones in March and April cannot be compared, only the total sales amount of the store can be compared.']
|
multi_choice
|
stat755
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/755.png
|
To implement the requirements of 'homework, sleep, mobile phones, reading materials, physical fitness' management, and to understand the students' sleep patterns, a class of 50 students was surveyed regarding their daily sleep duration. A frequency distribution histogram of sleep duration was drawn, as shown in the figure. What is the mode of the sleep durations surveyed?
|
B. 7 hours
|
['6 hours', '7 hours', '8 hours', '9 hours']
|
multi_choice
|
stat759
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/759.png
|
Lijiang City is a well-known historical and cultural city. During the Spring Festival, the relevant departments conducted a random sampling survey on tourists visiting Lijiang for sightseeing. Based on the survey, the following two incomplete statistical charts were drawn. Based on the information in the charts, which of the following conclusions is incorrect? ( )
A. The proportion 'a' in the pie chart is 40%
B. The sample size of this survey is 1000
C. In the pie chart, the central angle of the sector representing 'Other' is 36°
D. The number of people choosing 'Public Transportation' as their travel method is 500
|
D
|
['In the pie chart, a corresponds to 40%', 'The sample size of this survey is 1000', "In the pie chart, the central angle of the pie 'other' is 36 degrees", "The number of people choosing 'public transportation' as their travel method is 500"]
|
multi_choice
|
stat76
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/76.png
|
A project team conducted a survey on the charging cost of new energy vehicles, and obtained a frequency distribution histogram (each group includes the lower boundary value but not the upper boundary value) as shown in the figure. How many cars have a charging cost of 300 yuan/month or more?
|
14
|
NULL
|
free_form
|
stat766
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/766.png
|
As shown in the figure, the line chart records the highest temperature of each day in a certain city over the course of a week. Among the following options, the incorrect one is ( ).
|
B
|
['The highest temperature this week is 30°C', 'The median of this data set is 28°C', 'The mode of this data set is 28°C', 'The average of this data set is 25 4/7°C']
|
multi_choice
|
stat770
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/770.png
|
The bar chart below describes the ages of the football team members from a certain school. What are the median and mode of these football team members' ages?
|
D. 14.5, 15
|
['14, 14', '14.5, 14', '15, 15', '14.5, 15']
|
multi_choice
|
stat775
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/775.png
|
Xiaodong's father's total salary income in May is approximately 8000 yuan. According to the distribution shown in the diagram, the amount of money spent on education is approximately ( ).
|
B. 1200 yuan
|
['400 yuan', '1200 yuan', '2000 yuan', '900 yuan']
|
multi_choice
|
stat786
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/786.png
|
The "Compulsory Education Curriculum Standards (2022 Edition)" for the first time included learning to cook into the labor education curriculum and made clear requirements. Xiaoliang surveyed the number of dishes learned to cook by all classmates in a week, as shown in the chart. What is the average number of dishes learned to cook by all classmates in a week? ( )
|
B
|
['2', '2.6', '3', '3.1']
|
multi_choice
|
stat79
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/79.png
|
As shown in the figure, the six sectors of the spinning wheel have equal areas. Spin the wheel randomly once, and when the wheel stops, the probability that the pointer lands on a sector with an odd number is ________.
|
1/2
|
NULL
|
free_form
|
stat802
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/802.png
|
A middle school is conducting after-school services, including four sports activities: table tennis, basketball, volleyball, and football. To determine students' favorite sport, a survey is conducted among 200 randomly selected students (each student chooses only one activity). The survey results are represented as a pie chart. Which of the following statements is incorrect?
A. The number of students who prefer basketball is 30.
B. The number of students who prefer football is the highest.
C. The central angle of the sector for 'table tennis' is 72°.
D. The number of students who prefer volleyball accounts for 10% of the surveyed students.
|
A
|
['The number of students who like basketball the most is 30.', 'The number of students who like soccer the most is the largest.', "The central angle corresponding to 'table tennis' is 72 degrees.", 'The number of students who like volleyball the most accounts for 10% of the surveyed students.']
|
multi_choice
|
stat808
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/808.png
|
The 'five educations' hold an important position and role in basic education. Among them, physical education is aimed at enhancing students' physical fitness, developing physical and athletic abilities, and helping students cultivate habits of physical exercise and hygiene. To strengthen physical activity, Xiao Ming created a daily exercise plan and recorded his progress. The chart below shows the time Xiao Ming spent on physical activities during a certain week. Which of the following statements is incorrect? ( )
Line graph of Xiao Ming's weekly physical activity time
A. Xiao Ming spent the least time on physical activities on Saturday.
B. The difference in time spent on physical activities between Thursday and Saturday is 1 hour.
C. Xiao Ming spent 60 minutes on physical activities on Tuesday.
D. From Thursday to Sunday, Xiao Ming's time spent on physical activities continuously decreased.
|
D
|
['Xiaoming participated in the least amount of physical exercise on Monday.', 'The difference in time spent on physical exercise between Thursday and Friday is 1 hour.', 'The duration of physical exercise on Tuesday is 60 minutes.', 'The time spent on physical exercise from Monday to Friday decreases day by day.']
|
multi_choice
|
stat813
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/813.png
|
The maximum temperatures of Cities A and B during the first 5 days of March are shown in the diagram. Which of the following options is incorrect?
|
B
|
['The median of the maximum temperatures of both cities Jia and Yi is 6 degrees Celsius.', 'The mode of the maximum temperature in Jia city is 4 degrees Celsius.', 'The maximum temperature of Jia city is relatively stable compared to Yi city.', 'The average of the maximum temperatures in Yi city is 6 degrees Celsius']
|
multi_choice
|
stat814
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/814.png
|
As shown in the graph, it depicts the temperature curve and precipitation bar chart of a given location. Based on the information in the graph, which of the following statements is correct? ( )
|
D
|
['In January, the average temperature is below 0°C, and the precipitation is high.', 'From April to October, the temperature gradually rises.', 'After July, the precipitation gradually decreases.', 'The winter is cold and the summer is hot, with more precipitation in July and August.']
|
multi_choice
|
stat817
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/817.png
|
The daily average temperature statistics for a city's June are shown in the figure. What are the mode and median of the data set of daily average temperatures?
|
C. 21, 22
|
['21, 21', '21, 22.5', '21, 22', '22, 22']
|
multi_choice
|
stat82
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/82.png
|
A school's statistical chart for the number of trees planted by 5 groups during a tree-planting activity is shown in the diagram. What is the average number of trees planted per group?
|
5
|
NULL
|
free_form
|
stat823
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/823.png
|
As shown in the figure, the spinning wheel is divided into four sectors of equal area, with the words 'I', 'Love', and 'Home' written in each sector. Fixing the pointer, the spinning wheel is spun twice. What is the probability that the words pointed to by the pointer form the phrase 'Love Home'? ( )
|
B
|
['1/4', '1/8', '1/10', '1/16']
|
multi_choice
|
stat825
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/825.png
|
8. A dart is randomly thrown onto the rhombus target board ABCD shown in the figure, where points E, F, G, and H are the midpoints of the sides of the rhombus. If the dart is equally likely to land at any point on the board, what is the probability that the dart lands in the shaded region? ( )
|
B
|
['1/3', '1/2', '2/3', '3/4']
|
multi_choice
|
stat828
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/828.png
|
The black hair doesn't know to study diligently early, and the white head regrets reading late. A mathematics interest group at a school randomly surveyed some students about their favorite types of extracurricular books and created two statistical charts based on the results: If the school has a total of 1,200 students, approximately how many students at the school prefer science books? A. 120 students B. 360 students C. 480 students D. 600 students
|
C
|
['120 people', '360 people', '480 people', '600 people']
|
multi_choice
|
stat832
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/832.png
|
Four people are seated around a circular table as shown in the diagram, with the 4 seats labeled as ①, ②, ③, and ④. Two individuals, A and B, are equally likely to occupy any 2 of the 4 seats. What is the probability that A and B sit opposite to each other?
|
C
|
['1/2', '2/3', '1/3', '1/4']
|
multi_choice
|
stat833
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/833.png
|
A school conducted a biology project-based practical research activity, where the teacher guided the students to understand plants through a combination of hands-on experiments and consulting materials. The table below records the results of germination experiments on the seeds of a certain plant under the same conditions. The germination rate scores were recorded as 10, 9, 8, etc., and the results were rounded to three decimal places. An eighth-grade student organized the score data and drew the following statistical charts. Which of the following judgments is correct? A. a=8, b=7 B. The average scores of the seventh and eighth grades are the same. The variance of the seventh grade is smaller than that of the eighth grade, indicating that the scores of the seventh grade fluctuate more, so the eighth grade scores are better. C. Among the students who performed particularly well in this competition, approximately 336 students achieved excellent results. D. Based on the data in the table, it can be estimated that the probability of germination of the plant seeds is 0.901 (results rounded to three decimal places).
|
D
|
['a = 8, b = 7', 'The average score of the seventh grade is similar to that of the eighth grade, indicating that the performance of the eighth grade fluctuates greatly, and the performance of the seventh grade is better.', 'According to the pie chart, it is estimated that the number of outstanding students in the seventh grade is 326.', 'According to the data in the table, it can be estimated that the average germination rate of the plant seeds is 0.901 (the result is reserved to three decimal places).']
|
multi_choice
|
stat838
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/838.png
|
In order to investigate the sales of different brands of shirts, the math interest group of a school collected and analyzed the weekly sales of two brands, A and B. The following chart shows the sales trends of the two brands over a week. Which of the following statements is correct? ( )
|
D
|
['The sales of clothing A are more stable than those of clothing B.', 'The average sales of clothing B are higher than those of clothing A.', 'The trend of sales changes for clothing A is the same as that for clothing B.', 'The sales of clothing A are better than those of clothing B.']
|
multi_choice
|
stat839
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/839.png
|
As shown in the figure, it is a line chart of the monthly extracurricular reading volumes of all the students in a class from January to August last year. Which of the following statements is correct?
A. The average monthly reading volume is 60.
B. The median monthly reading volume is 50.
C. The mode of the monthly reading volume is 58.
D. The variance of the monthly reading volume is 47.
|
C
|
['The average number of readings per month is 60', 'The median number of readings per month is 50', 'The mode of the number of readings per month is 58', 'The variance of the number of readings per month is 47']
|
multi_choice
|
stat84
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/84.png
|
Biological research shows that the higher the rate of photosynthesis in plants, the more organic matter is synthesized per unit of time. To understand the photosynthesis rates of two soybean varieties, A and B, researchers selected five plants from each variety and measured their photosynthesis rates (unit: μmol⋅m⁻²⋅s⁻¹) under the same experimental conditions. The statistical results are as follows:
Variety First Plant Second Plant Third Plant Fourth Plant Fifth Plant Average
A 32 30 25 28 22 25
B 25 25 25 25 25 25
Which soybean variety exhibits a more stable photosynthesis rate? (Fill in 'A' or 'B')
|
B
|
NULL
|
free_form
|
stat844
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/844.png
|
The age distribution of the women's volleyball team members in a certain school is shown in the table below:
| Age | 13 | 14 | 15 |
| Number of People | 4 | 7 | 4 |
What is the average age of the women's volleyball team members in this school? ______ years old.
|
14.
|
NULL
|
free_form
|
stat848
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/848.png
|
The highest temperature statistics for each day of a week in a certain city are as follows:
Highest temperature (℃): 25 26 27 28
Number of days: 1 2 1 3
What is the median and mode of this data?
|
27; 28
|
NULL
|
free_form
|
stat852
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/852.png
|
A construction team has 14 employees, and the types of jobs and corresponding monthly salaries per person are as follows: The on-site construction team underwent an adjustment: 2 carpenters were reduced, 1 electrician and 2 masons were added. Compared with before the adjustment, the variance of the monthly salaries of the team _______ (fill in 'decreases', 'remains unchanged', or 'increases').
|
increases
|
NULL
|
free_form
|
stat853
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/853.png
|
During a data compilation process of a certain experiment, the frequency of occurrence of an event is shown in the table below:
| Number of Trials | 10 | 50 | 100 | 500 | 2000 |
|------------------|---------|---------|---------|---------|---------|
| Frequency of Event | 0.245 | 0.248 | 0.251 | 0.253 | 0.252 |
Estimate the probability of the event occurring _______ (accurate to 0.01).
|
0.25
|
NULL
|
free_form
|
stat855
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/855.png
|
The results of 5 shooting training sessions (unit: rings) for two students, A and B, are shown in the table below.
A: 7, 8, 9, 8, 8
B: 6, 7, 8, 8, 8
Compare the variances of the 5 shooting results for A and B, labeled as S_A² and S_B². The result is: S_A² __ S_B². (Options are '>', '=' or '<')
|
<
|
NULL
|
free_form
|
stat859
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/859.png
|
Based on the data in the table above, which student has better and more stable performance?
|
Student B.
|
NULL
|
free_form
|
stat862
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/862.png
|
The age statistics of 47 students in a certain class are shown in the following table:
Age (years): 13 14 15 16
Number of students: 2 22 22 1
What is the mode of the students' ages in this class?
|
14 and 15
|
NULL
|
free_form
|
stat865
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/865.png
|
Teacher Wang has collected statistics about the uniform sizes of 40 students in his class as follows:
Sizes:
S M L XL XXL
Frequency:
0.05 0.1 0.2 0.3 0.025
How many students in the class wear uniforms of size 'L'?
|
8
|
NULL
|
free_form
|
stat866
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/866.png
|
A certain shooting athlete's shooting performance is recorded under the same conditions as follows:
Number of shots: 20, 40, 60, 80, 100
Number of times hitting "above 9 rings": 16, 32, 48, 64, 80
Frequency of hitting "above 9 rings" (results rounded to two decimal places)
Based on the stability of the frequencies, estimate the probability of the athlete hitting "above 9 rings" in a single shot. (Result rounded to one decimal place).
|
0.8
|
NULL
|
free_form
|
stat868
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/868.png
|
In a speech competition held at a certain middle school, the judges gave the following scores to Xiaoming's speech. Then Xiaoming's average score is ______.
|
93
|
NULL
|
free_form
|
stat869
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/869.png
|
A shopping mall has a freely spinning roulette wheel. It is stipulated that customers who spend more than 30 yuan can spin the wheel once. When the roulette stops, the pointer falls on a specific area, and the customer wins the corresponding prize. The following table is a set of statistical data collected during the promotion:
Number of roulette spins: 1000, 200, 300, 500, 1000
Number of times the pointer lands in the 'pen' area: 65, 122, 190, 306, 601
If you spin the roulette once in this mall, the probability of winning a pen is approximately ________ (rounded to 0.1).
|
0.6
|
NULL
|
free_form
|
stat872
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/872.png
|
The quality inspection results of a batch of basketballs are as follows:
Number of basketballs sampled: 100, 200, 400, 600, 800, 1000
Frequency of premium basketballs: 93, 192, 376, 564, 752, 941
Frequency of premium basketballs: 0.93, 0.96, 0.94, 0.94, 0.94, 0.94
The estimated probability that a randomly selected basketball from this batch is premium is ________. (accurate to 0.01)
|
0.94
|
NULL
|
free_form
|
stat874
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/874.png
|
There are two groups of data, A and B, as follows:
Group A: 11 12 13 14 15
Group B: 12 12 13 14 14
The variances of groups A and B are represented by s_A^2 and s_B^2, respectively. Then s_A^2 __ s_B^2 (fill in '>', '<', or '=').
|
>
|
NULL
|
free_form
|
stat875
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/875.png
|
A class of students conducted an experiment of tossing thumbtacks, and the results are as follows:
Number of tosses/n 300 400 500 600 700
Times the tack landed on the point 122 158 193 236 274
Frequency of landing on the point 0.4067 0.3950 0.3860 0.3850 0.3914
Number of tosses/n 800 900 1000
Times the tack landed on the point 319 354 389
Frequency of landing on the point 0.3988 0.3931 0.3890
Based on the above information, estimate the probability of the tack landing on its point. Write the probability of the tack landing on its point ______ (accurate to 0.01).
|
0.39
|
NULL
|
free_form
|
stat88
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/88.png
|
A certain school’s seventh-grade cohort plans to offer four courses: paper cutting arts, poetry appreciation, Chinese martial arts, and technological innovation. Each student will choose one of these courses. To understand the preferences of the seventh-grade students for these courses, the school randomly selected 100 students for a survey. The survey results are displayed in a pie chart. Based on the pie chart, estimate the number of students out of 1,200 seventh-grade students who chose paper cutting arts.
|
360
|
NULL
|
free_form
|
stat884
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/884.png
|
In an opaque bag, there are a number of identical balls differing only in color. A study group performs a ball-drawing experiment: the balls are shuffled, and then one ball is drawn at random, its color is recorded, and it is then returned to the bag. This process is repeated continuously. Below is a statistical dataset recorded during the activity:
Number of draws (n) 100 150 200 800 1000
Number of white balls (m) 59 96 116 295 480
Frequency of white balls (m/n) 0.59 0.64 0.58 0.59 0.06
The estimated probability of drawing a white ball is ______ (to one decimal place).
|
0.6
|
NULL
|
free_form
|
stat886
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/886.png
|
A certain type of rapeseed was tested for germination under the same conditions, and the results are shown in the table:
| Number of seeds per batch n | 100 | 300 | 400 | 600 | 1000 | 3000 |
|-----------------------------|-----|-----|-----|-----|------|------|
| Number of germinated seeds | 96 | 284 | 387 | 588 | 960 | 2848 |
| Germination frequency η | 0.960 | 0.947 | 0.968 | 0.980 | 0.960 | 0.949 |
Then it can be estimated that the probability of this type of rapeseed germination is _______ (to the nearest 0.01).
|
0.95
|
NULL
|
free_form
|
stat891
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/891.png
|
On March 12, 2022, the 44th Arbor Day of our country, a forestry department conducted a study on the survival rate of a certain type of sapling under certain conditions. Under the same conditions, a large number of these saplings were transplanted, and their survival status was recorded. The table below shows a set of statistical data during the transplantation process of this type of sapling:
Number of saplings transplanted (trees): 100 5000 8000 10000 15000 20000
Number of saplings surviving (trees): 87 4485 7224 8983 13443 18044
Survival rate of saplings: 0.870 0.897 0.903 0.898 0.896 0.902
Estimate the probability of survival for this type of sapling under these conditions. (Keep the result to two decimal places).
|
0.9
|
NULL
|
free_form
|
stat892
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/892.png
|
The quality inspection results of a batch of table tennis balls are shown in the table below:
Number of table tennis balls sampled (x) | 100 | 500 | 1000 | 2000
Frequency of excellent products (m) | 48 | 475 | 949 | 1898
Frequency ratio of excellent products (m/x) | 0.48 | 0.95 | 0.949| 0.949
The estimated probability of randomly selecting an excellent table tennis ball from this batch is ________ (accurate to 0.01).
|
0.95
|
NULL
|
free_form
|
stat893
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/893.png
|
2. In order to select a representative from contestants A and B to participate in the district-level Chinese character dictation competition, the school tested both contestants in four aspects: expression ability, reading comprehension, comprehensive quality, and Chinese character dictation. Their respective scores (on a 100-point scale) are as follows:
| Contestant | Expression Ability | Reading Comprehension | Comprehensive Quality | Chinese Character Dictation |
| ---------- | ------------------ | --------------------- | --------------------- | --------------------------- |
| A | 85 | 78 | 79 | 75 |
| B | 80 | 83 | 82 | 73 |
If expression ability, reading comprehension, comprehensive quality, and Chinese character dictation account for 20%, 10%, 30%, and 40% respectively when calculating their weighted average scores, based on these scores, the contestant with the higher score is ________.
|
B
|
NULL
|
free_form
|
stat896
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/896.png
|
In order to implement the 'double reduction' policy, a school in Dongying City conducted a questionnaire survey on the after-school homework duration of junior high school students. The homework durations of 15 students are summarized in the table below. What is the mode of this dataset?
|
70
|
NULL
|
free_form
|
stat897
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/897.png
|
A company decided to recruit one advertising planner. The scores (in points) of an applicant's three skill tests are as follows: Test Items: Creativity, Comprehensive Knowledge, Language Expression Test Scores: 88, 80, 75. If the final score of the applicant is determined based on the scores of Creativity, Comprehensive Knowledge, and Language Expression in a ratio of 5:3:2, what is the applicant's final score?
|
83
|
NULL
|
free_form
|
stat898
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/898.png
|
The germination test results of a certain type of rapeseed under the same conditions are shown in the table below:
Batch size 50 100 300 400 600 1000
Germination frequency 45 96 283 380 571 948
The germination probability of this type of rapeseed is approximately __________. (Result accurate to 0.01)
|
0.95
|
NULL
|
free_form
|
stat899
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/899.png
|
A certain shooter has their shooting performance recorded under the same conditions as follows:
Shooting Attempts: 20, 40, 100, 200, 300, 400, 1000
Number of shots hitting above 9 rings: 15, 30, 75, 150, 240, 310, 801
Frequency of shots hitting above 9 rings: 0.75, 0.85, 0.75, 0.75, 0.8, 0.78, 0.801
What is the probability of hitting above 9 rings (round the result to 0.1) ______?
|
0.8
|
NULL
|
free_form
|
stat9
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/9.png
|
As shown in the figure, the areas of the 8 sectors on the spinner are all equal. If the spinner is spun once randomly, what is the probability that the pointer will point to a number greater than 6 when it stops?
|
1/4
|
NULL
|
free_form
|
stat900
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/900.png
|
In order to enhance environmental education, a middle school organized students to participate in a volunteer activity to collect used batteries. The following statistics are based on a random sample of 40 students and the number of used batteries they collected:
Number of used batteries/pieces: 4 5 6 7 8
Number of students/people: 9 11 11 5 4
If the data is represented using a pie chart, the central angle of the sector representing 'collecting 8 used batteries' is equal to __________°.
|
36
|
NULL
|
free_form
|
stat902
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/902.png
|
Grandma Li opened a convenience store in a residential area, supplying three types of food: A, B, and C. Due to the different shelf lives of these foods, Grandma Li pays close attention when restocking to avoid spoilage from unsold items. To help Grandma Li solve this problem, Xiao Ming randomly recorded the sales of A, B, and C over a week as shown in the table below:
Food Type | A | B | C
Sales Quantity (pieces) | 15 | 45 | 30
According to the statistical data, the reasonable ratio of quantities for restocking food types A, B, and C is __________.
|
1:3:2
|
NULL
|
free_form
|
stat905
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/905.png
|
"Scientific use of eyes, protecting vision" is a specific expression of teenagers cherishing life. The vision check data of 48 students in a class is as follows:
Vision 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.0
Number 2 3 6 9 12 8 5 3
The mode of the vision of these 48 students is ________.
|
4.7
|
NULL
|
free_form
|
stat906
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/906.png
|
On March 12, 2023, which marks the 45th Arbor Day in China, a forestry department conducted a study to estimate the survival rate of a certain type of sapling under specific conditions. A large number of these saplings were transplanted under the same conditions, and their survival statistics are as follows:
| Number of Saplings Transplanted (units) | 100 | 1000 | 5000 | 10000 | 70000 |
| --------------------------------------- | ------| -------| -------| --------| ------- |
| Number of Saplings Surviving (units) | 87 | 883 | 4455 | 7029 | 63022 |
| Survival Rate of Transplanted Saplings | 0.8700| 0.8820 | 0.8910 | 0.8930 | 0.9002 |
Estimate the survival rate of this type of sapling under normal conditions. (Result accurate to 0.01)
|
0.90
|
NULL
|
free_form
|
stat908
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/908.png
|
A company intends to hire a creative director and conducted three quality tests on two candidates. The test scores for each candidate are shown in the table below:
Candidate | Innovation Ability | Computer Skills | Public Relations Skills
A | 72 | 50 | 88
B | 85 | 45 | 82
If the scores for Innovation Ability, Computer Skills, and Public Relations Skills are weighted in a ratio of 3:2:3 to determine the final score for each candidate, then ________ (fill in 'A' or 'B') will be hired.
|
B
|
NULL
|
free_form
|
stat909
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/909.png
|
The germination ability of coffee tree seeds weakens as the storage time increases. When stored for up to three months, the germination rate is about 95%; from three months to five months, the germination rate gradually decreases to 75%; and from five months to nine months, the germination rate gradually decreases to 25%. The Academy of Agricultural Sciences recorded the germination of a batch of coffee tree seeds, and the results are shown as follows: Based on this, deduce the storage time of this batch of coffee tree seeds among the following three periods (fill in 'within three months', 'three to five months', or 'five to nine months').
|
Three to five months
|
NULL
|
free_form
|
stat910
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/910.png
|
In a shooting team selection training for a shooting competition, the performance of two athletes, A and B, stood out. It was decided to select one of them to participate in the competition. Their shooting results over 10 tests are analyzed as shown: Athlete | Average Score (rings) | Variance A | 9.1 | 0.69 B | 9.1 | 0.03 Past competitions have shown that an average score above 9.0 rings is highly likely to win a medal. If a participant is to be selected to ensure the medal win, who is most likely to be chosen (write 'A' or 'B')?
|
B
|
NULL
|
free_form
|
stat914
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/914.png
|
A company wants to hire an employee. Three candidates, A, B, and C, underwent tests in three aspects: comprehensive knowledge, work experience, and language skills. Their scores in each test are shown in the table below:
| Category | Comprehensive Knowledge | Work Experience | Language Skills |
|----------|--------------------------|-----------------|-----------------|
| A | 85 | 70 | 80 |
| B | 90 | 80 | 70 |
| C | 70 | 85 | 75 |
If the total score of each candidate is calculated using a weight ratio of 5:2:3 for comprehensive knowledge, work experience, and language skills respectively, and the candidate with the highest total score is hired, who will be selected?
|
B
|
NULL
|
free_form
|
stat915
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/915.png
|
To prepare for the 12th Sports Games of the city, a county conducted a shooting test for four athletes: A, B, C, and D. The average score x̄ (unit: points) and variance s² (unit: points) of their shooting test results are shown in the table below. Based on the data in the table, to select an athlete with good performance and stable results to participate in the competition, the choice should be _______________.
|
D
|
NULL
|
free_form
|
stat920
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/920.png
|
The statement 'Thoroughly implementing the action for seed industry revitalization' in the 20th National Congress report will give a strong boost to research, selection, and promotion of 'China's seeds.' The corn research institute of Shanxi Agricultural University (Provincial Academy of Agricultural Sciences) has bred 'Jinnu No. 20,' which has been promoted and planted in 26 provinces across the country, yielding great harvests. Below are part of the data obtained by the research team under the same experimental conditions, studying the germination rate of this grain seed: Germinated: 28, 72, 125, 200, 457, 814, 1187, 1258 Number of seeds: 30, 75, 130, 210, 480, 856, 1250, 2300 Based on the data above, estimate the probability of germination for this grain seed under these experimental conditions. (Round your result to 0.01.)
|
0.95
|
NULL
|
free_form
|
stat929
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/929.png
|
As shown in the table, Xiaoming conducted the 'throwing thumbtacks experiment' and obtained data. The estimated probability of 'the point of the tack not touching the ground' is ________.
|
0.61
|
NULL
|
free_form
|
stat933
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/933.png
|
A youth volleyball team consists of 12 players, and their ages are shown in the table below:
Age (years) | 18 | 19 | 20 | 21 | 22
Number | 3 | 5 | 2 | 1 | 1
What is the median age of these 12 players? Fill in the blank: ________ years.
|
19
|
NULL
|
free_form
|
stat934
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/934.png
|
A certain agricultural research station conducted a germination test for a crop's seeds under the same conditions. The results (partial data) are shown in the table below:
Seed count n 100 200 300 400 500
Germinated seeds count m 94 180 269 360 451
Germination frequency m/n (accurate to 0.001) 0.940 0.895 0.893 0.900 0.902
Estimate the probability that a randomly selected seed will germinate under the same conditions ( ).
|
0.90
|
NULL
|
free_form
|
stat935
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/935.png
|
Based on the above data, estimate the probability of this player making a free throw shot. (Accurate to 0.1)
|
0.5
|
NULL
|
free_form
|
stat936
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/936.png
|
A city broadcasting and television bureau intends to recruit a broadcaster. Two candidates, A and B, went through two quality tests, and their scores for the two tests are shown in the table below. Based on practical needs, the bureau calculates the total scores of the two candidates by weighting their interview and general knowledge test scores in a 3:2 ratio. _____ (fill in 'A' or 'B') will be hired.
|
B
|
NULL
|
free_form
|
stat938
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/938.png
|
A youth volleyball team has 12 players, with their ages shown in the following table: What is the median age of these 12 players? ______ years.
|
19
|
NULL
|
free_form
|
stat939
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/939.png
|
During the Mid-Autumn Festival, it is traditional in China to admire the moon and eat mooncakes. A certain department conducted a sampling inspection on a batch of mooncakes produced by a food company, with results as follows:
Number of mooncakes sampled: 50, 100, 200, 500, 1000, 2000
Number of first-grade products: 45, 92, 194, 474, 951, 1900
What is the approximate probability of randomly selecting a first-grade mooncake from this batch? (Accurate to 0.01)
|
0.95
|
NULL
|
free_form
|
stat940
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/940.png
|
The germination test results of a certain type of mung bean under the same conditions are as follows:
Each batch grain count n: 100 500 1000 5000 8000 10000
Germination frequency m: 94 466 928 4628 7424 9281
Germination rate (m/n) (accurate to 0.001): 0.94 0.932 0.928 0.926 0.928 0.928
Based on the table, estimate the probability of germination of this type of mung bean ________ (accurate to 0.01).
|
0.93
|
NULL
|
free_form
|
stat942
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/942.png
|
Historically, some individuals have conducted thousands or even tens of thousands of coin-tossing experiments. The results of some of these experiments are shown in the table below:
Tosses 2048 4040 12000 20000
Frequency of 'Heads' 0.5181 0.5069 0.5006 0.5001
From this, calculate the probability of getting 'Heads' when repeatedly tossing a coin ________ (Round the result to one decimal place).
|
0.5
|
NULL
|
free_form
|
stat943
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/943.png
|
Every March 12th is Arbor Day in China. A local forestry department wants to investigate the survival rate of a certain type of seedling under specific conditions. The following statistical data was collected during the transplanting process of the seedlings:
Number of transplanted seedlings (units) | 400 | 1500 | 3500 | 7000 | 9000 |
Number of surviving seedlings after transplantation (units) | 325 | 1336 | 3263 | 6520 | 8120 |
Survival frequency of transplanted seedlings | 0.81 | 0.89 | 0.93 | 0.93 | 0.90 |
Based on this, estimate the probability of survival for this type of seedling under these conditions (rounded to 0.01).
|
0.90
|
NULL
|
free_form
|
stat946
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/946.png
|
A study group conducted an experiment on 'estimating probability using frequency,' calculated the frequency of a certain outcome, and created the following table. The approximate probability of this outcome occurring is ______ (accurate to 0.1).
|
0.3
|
NULL
|
free_form
|
stat947
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/947.png
|
A certain shooter has recorded their shooting records under the same conditions as follows:
Number of shots: 20 80 100 200 400
Number of times hitting 'above 8 rings': 18 68 82 163 328
Frequency of hitting 'above 8 rings' (results rounded to two decimals): 0.90 0.85 0.82 0.82 0.82
Based on the stability of the frequency, estimate the probability that the shooter hits 'above 8 rings' in a single shot: ______.
|
0.82
|
NULL
|
free_form
|
stat949
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/949.png
|
The Chinese shooting team is among the best in the world. A shooting team plans to select one athlete from four candidates: Jia, Yi, Bing, and Ding, to participate in an international shooting competition. During the selection process, each person shoots 10 times, and their average scores and variances are calculated as shown in the table below: Based on the provided data as well as their average performance and stability, who will be selected as the athlete? ______.
|
Yi
|
NULL
|
free_form
|
stat951
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/951.png
|
A class of 10 students participated in community volunteer service activities during the holidays. Their community service hours are as follows:
Service hours (hours): 2 4 6
Number of people: 2 5 3
The median of the community service hours for these 10 students is ________ hours.
|
4
|
NULL
|
free_form
|
stat953
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/953.png
|
A technology company conducts technical development, under the same conditions, to test the qualification rate of a batch of products produced using new technology. The following table represents a set of statistical data during the testing process:
| Number of Products Extracted | 500 | 1000 | 1500 | 2000 | 2500 | 3000 | 3500 |
| Number of Qualified Products | 476 | 967 | 1431 | 1926 | 2395 | 2873 | 3340 |
| Frequency of Qualified Products | 0.952 | 0.967 | 0.954 | 0.963 | 0.958 | 0.961 | 0.955 |
Estimate the probability that a product from this batch is qualified: ______.
|
0.959 (the answer is not unique)
|
NULL
|
free_form
|
stat954
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/954.png
|
The table below shows the experimental data of several mathematicians 'tossing a coin':
| Experimenter | Mori Osamu | Buffon | Feller | Pearson | Pearson |
| ------------ | ---------- | ------ | ------ | ------- | ------- |
| Number of tosses | 2048 | 4404 | 10000 | 12000 | 24000 |
| Times 'Heads' appeared | 1041 | 2207 | 5000 | 6000 | 12000 |
| Frequency | 0.508 | 0.501 | 0.500 | 0.500 | 0.500 |
Based on the above data, estimate the probability P of a coin landing 'heads up'. (Accurate to 0.1)
|
0.5
|
NULL
|
free_form
|
stat955
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/955.png
|
A landscaping company plans to purchase a batch of saplings with an approximate height of 1.8 meters for street greening. Four sapling production bases have submitted bids (the price per sapling is the same). The procurement team randomly inspected 100 saplings from each base, and the data obtained are as follows:
| Average Height of Saplings (unit: meters) | Variance |
|------------------------------------------|----------|
| Base A: 1.6 | 0.5 |
| Base B: 1.8 | 0.2 |
| Base C: 1.8 | 0.1 |
| Base D: 1.9 | 0.5 |
Please help the procurement team make a recommendation. They should purchase saplings from base _____.
|
C
|
NULL
|
free_form
|
stat959
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/959.png
|
A store sold 20 pairs of a certain type of women's shoes in a week. The sales volume of women's shoes in various sizes is shown in the table below. What is the mode of the sold shoe sizes? _______ size.
|
36
|
NULL
|
free_form
|
stat960
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/960.png
|
It is known that the probability of an electric current normally passing through each electronic component [______] within a certain time period is P. (In one trial, the state of each electronic component has two possibilities: on or off, and these two states are equally likely). As shown in the figure, the probability of the electric current normally passing between A and B within a certain time period is ________.
|
1/4
|
NULL
|
free_form
|
stat961
|
/home/yz979/scratch/chengye/math/data/original_set/statset/images/images/961.png
|
Seeds are the origin of all growth and the foundation of human food production. The results of germination tests for a certain type of corn seed under the same conditions are as follows:
| Total number of seeds | 500 | 1000 | 1500 | 2000 | 3000 | 4000 |
|-----------------------|-------|------|-------|-------|-------|-------|
| Number of seeds germinated | 464 | 930 | 1398 | 1866 | 2790 | 3712 |
| Germination frequency | 0.928 | 0.93 | 0.932 | 0.933 | 0.93 | 0.928 |
Estimate the germination probability of this type of corn seed as _________ (accurate to 0.01).
|
0.93
|
NULL
|
free_form
|
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