1. There are 50 students in a class, including excellent students 10 and 5 outstanding student cadres. On the fan chart, there is 1. It can be clearly seen that the percentage relationship between each part and the total is ().
A. Bar chart B. Fan chart C. Line chart D. All of the above are acceptable
2. To solve the following problems, it is easier to use the comprehensive investigation method ()
A. understand the defective rate of a large number of products in one day. B. Understand the scores of junior high school students' physical education entrance examination in a city.
C. Know the per capita income of residents in a city D. Know the number of people who leave a city on a certain day.
3. Count the math scores of 40 students in a class. After proper grouping, if the score of 80 ~ 90 is marked as "positive", the percentage of students in this class in this score is ().
20% B.40% C.8% D.25%
4. In order to know the weight of grade eight students in a county, 200 students were selected for weight test. In this question, the following statement is wrong ().
A.the weight of A.200 students is the whole. B.the weight of 200 students is a sample.
C. the weight of each student is a sample. D. the weight of the eighth-grade students in the county is the whole.
5. In order to accomplish the following tasks, sampling survey should be adopted.
A. investigate the age of your classmates. B.know the number of boys and girls in your school.
C. Investigate the killing radius of a batch of shells D. Take part in the urine sample test of Olympic athletes.
6. When sorting out data 5, 5, 3, ■, 2 and 4, look at the data at ■.
I don't know, but from the answer of the pie chart, I found that the central angle of data 5 is 1800, so the data at ■ is ().
A.2 B.3 C.4 D.5
7. The following figure is the statistical table of the output value of a factory in each quarter in 2007 (unit: ten thousand yuan): then the following statement is correct ().
A. in the fourth quarter, GDP increased and decreased in each quarter.
B GDP grew rapidly in the first three quarters of the fourth quarter.
C. in the fourth quarter, the GDP changes in each quarter are the same. D. GDP grew fastest in the fourth quarter.
8. The math teacher assigned 10 multiple-choice questions as classroom exercises, and the learning committee plotted the answers of the whole class into a histogram. According to the statistical chart, the frequency of students answering 8 questions correctly is ().
A.0.38 B.0.4 C.0. 16 D.0.08
II. Fill in the blanks (3 points for each question, ***24 points)
9. In sorting out the frequency distribution table of 25 data, the sum of each group of frequencies is equal to _ _ _ _ _ _, and the sum of each group of frequencies is equal to _ _ _ _ _ _.
10. A library has three kinds of books, A, B and C, and its fan-shaped statistical chart is shown on the right, so the percentage of (1)A books is%; (2) If there are 4.2 million books in Class B and _ _ _ _ books in Class C. 。
1 1. To reflect the progress of a classmate's grades, you should choose _ _ _ _ _ _ _ _ _.
12. There are 25 teachers in the mathematics teaching and research group of a middle school. By age. There are 8 teachers aged 38-45. Then the frequency of this group is.
13. In order to know the water consumption of community residents, Xiao Jiang investigated 120 households, and found that the frequency of daily water consumption per capita was within the basic standard amount (50 liters) was 75%, so there were _ _ _ households that he investigated.
14. In order to let users clearly and intuitively see the percentage of "used space" and "available space" in "total disk space", the statistical chart used is.
15. Divide a batch of data into five groups and list the frequency distribution table, where the sum of the frequencies of the first and fifth groups is 0.27, and the sum of the frequencies of the second and fourth groups is 0.54, so the frequency of the third group is.
16. As shown in the upper right, in the histogram of frequency distribution drawn according to the math scores of 54 students in a class, the height ratio of each small rectangle is AB: CD: EF: GH: PK =1:3: 7: 5: 2. If the last two groups are students with 80 points or above, then the number of students with 80 points or above is _ _ _ _.
Iii. Answering questions (***52 points)
17.(9 points) Observe the fan-shaped statistical chart as shown in the figure and answer the question:
(1) There are _ _ _ _ _ _ _ continents in the world, with an area of _ _ _ _ _ _ _ _ _;
(2) _ _ _ _ _ _ The sum of the areas of these two continents is closest to the total land area of the earth.
Half of the area;
(3) In the figure, each sector represents _ _ _ _ _ _ _, and all percentages.
The total is _ _ _ _ _ _ _;
(4) The surface area of the earth is 565,438+0 million square kilometers, while the land area is
65438+49 million square kilometers, accounting for only 29.2% of the total surface area of the earth.
The land area of Asia is about _ _ _ _ _ _ _ million square kilometers (using science
Mark), it occupies about _ _ _ _ _ _ _ the earth's surface area.
(Question 4, 2 points per grid)
18.(8 points) In the "3. 15" Consumer Rights Day, the after-sales service satisfaction of two shopping malls was spot-checked. The picture shows the degree of customer satisfaction with the after-sales service of two shopping malls (hereinafter referred to as customer satisfaction), which is divided into four levels: very dissatisfied, dissatisfied, satisfied and very satisfied.
(1) Excuse me: The number of random users in Mall A is;
The number of random users in Mall B is:
(2) Find out the percentage of satisfied users in shopping malls A and B respectively. (accurate to 1%)
(3) Please put forward reasonable suggestions for Mall A. ..
19.( 12) The eyesight of junior high school students has been widely concerned by the whole society. The relevant departments of a city conducted a sampling survey on the eyesight of 30,000 junior high school students in the city, as shown in the figure, which is a histogram of frequency distribution (rectangular height table) drawn by using the obtained data.
According to the information provided in the picture, answer the following questions:
(1) Students sampled in this survey account for the percentage of the total number of junior high school students in this city. (2) The frequency ratio of five groups from left to right;
(3) If the vision is normal in the range of 4.9 ~ 5. 1 (including 4.9 and 5. 1), there are 10 middle school students in this city with normal vision, and the qualified rate of normal vision is.
What does this chart show?
20.( 10) In order to understand the physical development of the eighth-grade students in a school, the school measured the height of the eighth-grade students, sorted out the obtained data and drew a statistical chart (pictured).
What numbers do m and n stand for in (1)?
(2) Complete the statistical chart first, and then describe the data with frequency line chart.
Percentage of group members
145.5~ 149.5 1 2%
149.5~ 153.5 4 8%
153.5 ~157.5m 40%
157.5~ 16 1.5 15 30%
16 1.5 ~ 165.5 8n
165.5~ 169.5 2 4%
Total 50 100%
2 1.( 13) The ideological and moral construction of minors has attracted more and more attention from the society. A youth research institution randomly investigated the amount of pocket money of 0/00 students in a school in this city during the winter vacation (the amount of money is an integer. Unit: yuan) in order to guide students to establish a correct view of consumption. According to the survey data, make a frequency distribution table and histogram (pictured).
(1) Complete the frequency distribution table;
(2) In the histogram of frequency distribution, the area of rectangular ABCD is _ _ _ _ _ _. The sample size of this survey is _ _ _ _ _ _ _ _;
(3) The Institute believes that students who spend more than 150 yuan should be advised to be thrifty. How many students in this school should be advised to be frugal?
Packet frequency
0.5~50.5 0. 1
50.5~ 20 0.2
100.5~ 150.5
~200.5 30 0.3
200.5~250.5 10 0. 1
250.5~300.5 5 0.05
Total 100
I. 1. B 2。 B 3。 A 4。 A 5。 C 6。 D 7。 D 8。 B
2.9.25, 1 1 0.45,3.5 million11. Polyline12.0.3513.3014. Sector 15.0.66.
16.2 1,0.39
Third, 17. ( 1)7; (2) Asia and Africa; (3),7. 1% 18.( 1)4500,4500; (2)22%,29%; (3) No, for example: increase after-sales service measures to improve service satisfaction; 19.( 1)240,0.8%; (2)2:4:9:6:3; (3)7500,25%; 4 slightly 20. ( 1) 20, 16%; (2) 2 1.( 1) omitted; (2)0.25, 100; (3) Omission