Name: ______Date: ______Period: _____

Ms. McDowellChapter 11 and 12 Practice Test 7th Grade Math

1. Using the frequency table below, determine how many students received a score of 70 or better on an algebra exam.

2. The line plot below represents the number of letters written to overseas pen pals by the students at Waverly Middle school. Each x represents 10 students. How many students wrote more than 6 and fewer than ?

3. The numbers below represent the number of calls received one day in the school office. Make a line plot of the data.

32, 29, 28, 35, 30, 28, 35, 29, 27, 28

4. Why do statisticians often poll or survey a sample group instead of a certain population?

5. Suppose you were conducting a survey to determine student evaluation of the quality of food served in a local school cafeteria. You decide to poll only those students who buy hot lunch on a particular day. Is your sample random? Explain.

6. Which survey question is unbiased?

[A] “Do you prefer bringing a healthy lunch to school or eating cafeteria food?”

[B] “Which do you prefer with a meal, water or a soft drink?”

[C] “Do you think Jones is a good mayor in spite of his questionable character?”

[D] “Do you think we should allow them to cut down the trees and pave over the grass for the new playground?”

7. What is a biased question? How can a biased question affect the results of a survey?

8. How would you go about surveying members of your community to identify the individual most citizens want to run for Mayor in the next election?

9. Use a proportion to estimate the animal population for each year.

10. A fish and game warden captures and tags 52 deer in a local forest. A month later he captures 30 deer and finds that 8 of them are tagged. Estimate the actual number of deer in the forest.

11. Find the mean of the set of data.

7, 11, 9, 19, 11, 1, 20, 2

12. Find the median of the set of data.

2, 15, 30, 2, 9, 30, 15, 9, 7, 2, 2, 2, 2, 9, 2

13. Find the mode of the set of data.

10, 12, 16, 19, 12, 16, 10, 19, 16, 11

14. Find the mean, median, and mode of the set of data.

11, 8, 11, 8, 17, 8, 23, 29, 1, 7, 9

15. What is the probability of drawing a red king from a standard deck of 52 cards?

16. If you spin the spinner, what is the probability of the pointer landing on B?

17. A bag contains 4 red marbles, 3 white marbles, and 6 blue marbles. Find the probability of obtaining a white marble in a single draw.

18. You mix the letters S, E, M, I, T, R, O, P, I, C, A, and L thoroughly. Without looking, you draw one letter. Find the probability of each event as a fraction, a decimal, and a percent.

19. There are 8 crayons in a box. Only one of them is yellow. A crayon is selected at random. Find the probability that it is not yellow.

20. A multiple-choice test has 5 questions, each with 5 possible answers. Find the probability of guessing the correct answers to all of the questions.

21. A lunch menu consists of 3 different sandwiches, 2 different soups, and 4 different drinks. How many choices are there for ordering a sandwich, a bowl of soup, and a drink?

22. A school assigns each student a 3-digit code number. How many possible 3-digit codes are there from 000 to 999? What could cause the school to change to a 4-digit system?

23. If the spinner is spun twice, what is the probability that the arrow will stop on an odd number both times?

24. A drawer contains 2 red socks, 6 white socks, and 4 blue socks. Without looking, you draw out a sock, return it, and draw out a second sock. What is the probability that the first sock is blue and the second sock is red?

25. From a committee of 8 girls and 3 boys, two names are drawn to lead the committee. What is the probability that both people drawn will be girls?

26. You and 6 friends go to a concert. How many different ways can you sit in the assigned seats?

27. Find the value of the factorial expression.

5!

28. If no digit may be used more than once, how many

3-digit numbers can be formed using only the digits 9, 4, 1, 6, 8, and 2?

29. You own 8 pairs of jeans and want to take 3 of them on vacation. In how many ways can you choose 3 pairs of jeans from the 8?

30. Find 5C3

Name: ______Date: ______Period: _____

Ms. McDowellChapter 11 and 12 Practice Test 7th Grade Math

Reference: [11.1.1.1]

[1] [A]

Reference: [11.1.1.2]

[2] [D]

Reference: [11.1.1.3]

[3]

Reference: [11.5.1.61]

[4] It is often impossible to poll or survey an entire population. Instead, samples are surveyed to gain enough information to draw valid conclusions.

Reference: [11.5.1.63]

[5] No, the sample is only indicative of those students who buy lunch and probably feel the quality of food is average or better. If they felt the quality of food was poor they would most likely bring their lunch.

Reference: [11.5.2.66]

[6] [B]

Reference: [11.5.2.68]

[7] Biased questions are unfair questions. Biased questions can lead to assumptions and invalid responses that would negate the results of a survey.

Reference: [11.5.2.71]

[8] Answers may vary but may include standing outside a public office building such as the police station or post office and polling individuals who are of voting age.

Reference: [11.6.1.73]

[9] [C]

Reference: [11.6.1.77]

[10]

Reference: [1.10.1.129]

[11] 10

Reference: [1.10.2.134]

[12] 7

Reference: [1.10.2.136]

[13] 16

Reference: [1.10.2.137]

[14] mean: 12, median: 9, mode: 8

Reference: [12.1.1.2]

[15]

Reference: [12.1.1.3]

[16] [B]

Reference: [12.1.1.4]

[17]

Reference: [12.1.1.7]

[18]

Reference: [12.1.2.12]

[19] [D]

Reference: [12.3.1.35]

[20]

Reference: [12.4.2.49]

[21] 24

Reference: [12.4.2.58]

[22] 1,000 codes; if the student population exceeds 1,000 pupils

Reference: [12.5.1.62]

[23]

Reference: [12.5.1.63]

[24]

Reference: [12.5.2.69]

[25]

Reference: [12.6.1.74]

[26] 5,040

Reference: [12.6.1.77]

[27] [D]

Reference: [12.6.1.79]

[28] 120

Reference: [12.7.1.86]

[29] 56