Name: ________________________ Class: ___________________ Date: __________ ID: A

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Study Guide - Measures of Central Tendency & Graphing

Multiple ChoiceIdentify the choice that best completes the statement or answers the question.

Meredith teaches a nighttime computer class at Hamilton Community College. After the first class, she made a frequency table of the ages of her students.

Table 2.11

Age Group Tally Frequency20-29 12

30-39 14

40-49 8

50-59 560+ 2

1. In Table 2.11 above, how many students are in Meredith’s class?a. 14 c. 38b. 2 d. 41

2. In Table 2.11 above, which age group contains the greatest number of students?a. 20–29 c. 40–49b. 30–39 d. 50–59

3. In Table 2.11 above, which age group contains the fewest number of students?a. 20–29 c. 40–49b. 30–39 d. 60+

4. In Table 2.11 above, how many teenagers are in Meredith’s computer class?a. 1 c. 0b. 4 d. 2

Name: ________________________ ID: A

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Hakeem has been working part time at as a waiter for 6 months. The line graph shows his average hourly rate over the first 6 months. Use the graph to answer the following questions.

5. Which of the following statements best describes the trend in the data?a. As Hakeem gains more experience his average hourly rate decreases.b. Hakeem’s experience has no effect on his average hourly rate.c. As Hakeem gains more experience his average hourly rate increases.d. Hakeem’s hourly rate increases a constant amount each month.

6. If the trend continues, about how much will Hakeem’s hourly rate be after he has worked for the restaurant for 7 months?a. $10.25 c. $13.50b. $9.50 d. $12

7. If the trend from Hakeem’s first 6 months continues over the next 6 months, about how much would you expect him to make per hour after his first year?a. $10 c. $18b. $12.50 d. $15.25

Name: ________________________ ID: A

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After running a 5-kilometer cross country race, Missy measured her heart rate each minute for the first 5 minutes of rest. Her heart rate in beats per minute is shown in the graph.

8. Which of the following statements best describes the trend in the data?a. The length of time Missy rests has no effect on her heart rate.b. As the time of rest increases, Missy’s heart rate increases.c. Missy’s heart rate is decreasing at a constant rate.d. As the time of rest increases, Missy’s heart rate decreases.

9. If the trend continues, in which range would you expect Missy’s heart rate to be after 7 minutes of rest?a. 111–120 bpm c. 91–100 bpmb. 101–110 bpm d. 81–90 bpm

The line plot shows the grades earned on Mr. Johnson’s science quiz.

10. What was the most common grade earned on the test?a. 75 c. 80b. 90 d. 85

11. What is the range of the data?a. 25 c. 35b. 30 d. 60

Find the mean for each set of data. Round to the nearest tenth if necessary.

12. 12, 20, 8, 15, 16, 14, 7, 5, 11, 8, 14a. 11.8 c. 9.9b. 13.2 d. 10.4

Name: ________________________ ID: A

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13. Number of Weeks

in Training8 22 4 19

12 15 20 239 18 14 16

a. 12 c. 17b. 14 d. 15

14.

a. 29 c. 28b. 28.6 d. 29.5

Find the median for each set of data. Round to the nearest tenth if necessary.

15. 15, 22, 24, 18, 10, 12, 14, 17, 25, 21, 18a. 17.5 c. 17b. 18 d. 21

16. Movie Tickets Sold on

Different Nights84 94 120 79 9271 86 80 81 96

105 101 91 100 89

a. 91 c. 89b. 91.5 d. 92

17. Table 2.31

Amount Tally Frequency80 485 6

90 595 3

100 1

a. 87.5 c. 85b. 90 d. 95

Name: ________________________ ID: A

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Find the mode for each set of data. If there is no mode, select or write none.

18. 7, 3, 4, 6, 9, 10, 6, 4, 5, 3, 6, 8, 1, 8a. 4 c. 8b. 6 d. 3

19.

a. 20 c. 28b. 19 d. 16

20. $84, $41, $56, $33, $88, $95, $25, $87, $64, $38a. $41 c. $64b. $25 d. none

21. Table 2.34

Temperature Tally Frequency60º 10

62º 12

64º 9

66º 568º 12

a. 62° c. 64° and 68°b. 62° and 68° d. none

Name: ________________________ ID: A

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Students at Valley Middle School are selling raffle tickets to raise money for a local charity. Miss Wilson recorded the numbers of raffle tickets that were sold by her students. The data are shown in the stem-and-leaf plot.

Table 2.46

Stem Leaf0 7 9 9 91 2 4 4 6 7 82 4 5 5 5 5 63 3 4 8 94 0 0 1 4 75 2 3678 5 2|5 = 25 tickets

22. How many students are in Miss Wilson’s class?a. 28 c. 25b. 30 d. 26

23. What is the range in the number of raffle tickets sold by Miss Wilson’s students?a. 85 c. 78b. 7 d. 64

24. Find the mean number of raffle tickets sold. Round to the nearest tenth if necessary.a. 18.6 c. 40.3b. 24.6 d. 29.3

25. Find the median number of raffle tickets sold. Round to the nearest tenth if necessary.a. 25.5 c. 24b. 25 d. 24.5

26. Find the mode for the number of raffle tickets sold.a. 9 c. 25b. 14 d. 40

Name: ________________________ ID: A

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William manages the supply warehouse for a large chain of electronics retailers. The bar graph shows how much inventory Store #10435 ordered last month.

27. What does the vertical axis represent?a. the category of the electronics productb. the number of each product that was ordered last monthc. the number of televisions ordered last monthd. the total sum of products ordered last month

28. Which product did Store #10435 order the most of last month?a. televisions c. CD playersb. car stereos d. cell phones

29. Which product did Store #10435 order the least of last month?a. televisions c. camcordersb. computers d. cell phones

30. How many CD players did Store #10435 order from the warehouse last month?a. 100 c. 75b. 150 d. 125

31. How many more cell phones did Store #10435 order than computers last month?a. 175 c. 50b. 225 d. 150

Name: ________________________ ID: A

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Jisela works as a quality control engineer for a company that manufactures circuit boards for computers. For each production run, Jisela tests the boards and rejects those that are found to be defective. The histogram below contains data on the number of defective circuit boards over the past several production runs.

32. What does each interval represent?a. the number of defective circuit boards per production runb. the number of production runs with no defective circuit boardsc. the total number of production runsd. the number of operational circuit boards

33. How many production runs are represented in the histogram?a. 1 c. 34b. 28 d. 9

34. What range of defective boards was most common?a. 0–1 c. 4–5b. 2–3 d. 6–7

35. How many production runs had 3 or fewer defective circuit boards?a. 9 c. 7b. 16 d. 14

36. Which of the following statements best describes the data in the histogram?a. There is no relationship between the intervals and the frequency.b. There were no production runs with zero defective boards.c. Most production runs have at least 8 defective circuit boards.d. As the intervals of defective boards increase, the frequencies decrease.

Name: ________________________ ID: A

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37. Both bar graphs show the number of customer complaints that Company 1 and Company 2 have received since they opened for business. Which graph could be misleading and why?

a. Graph A is misleading because the vertical scale does not begin at 0.b. Graph B is misleading because the data is not accurate.

Students at Clayton Middle School are selling magazine subscriptions to raise money for a local relief fund. The line plot shows how many subscriptions students in Mrs. Garret’s class have sold.

38. Would the mean be a good measure of central tendency for the data? Explain.a. Yes; the mean closely represents the middle of the data.b. No; the mean is skewed by the data point 40.

39. Would the median be a good measure of central tendency for the data? Explain.a. Yes; the median closely represents the middle of the data.b. No; the median is skewed because most of the data points are on the left side of the line

plot. 40. Would the mode be a good measure of central tendency for the data? Explain.

a. Yes; the mode closely represents the middle of the data.b. No; the mode is not a good measure of central tendency because it is very low compared

with the other data points. 41. Colleen’s quiz scores for the quarter are 84, 90, 92, 75, 0, 85, 81, and 88. Is the mean a good measure of

central tendency for the data? Explain.a. Yes; the mean closely represents the middle of the data.b. No; the mean is skewed too low because of the data point 0.

Name: ________________________ ID: A

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Compact Discs Owned by Classmates

Number of CDs Owned

42. How many classmates own more than 300 CDs?a. 16 c. 6b. 2 d. 22

43. How many classmates own at most 200 compact discs?a. 7 c. 16b. 5 d. 15

44. How many classmates were surveyed?a. 22 c. 21b. 20 d. 19

Name: ________________________ ID: A

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Mr. Domingo’s Math ClassTime Spent on Homework (per night)

Time Spent (minutes)

45. How many students spend thirty minutes or less on homework nightly?a. 10 c. 9b. 21 d. 5

46. How many students spend more than one hour on homework nightly?a. 1 c. 2b. 3 d. None

Name: ________________________ ID: A

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Make a circle graph for each set of data.

47. Alaska Employment Distribution (May 2000)

Government 27%Service 26%Trade 20%Manufacturing 5%Other 16%Unemployed 6%Source: The World Almanac and Book of Facts 2001

a. c.

b. d.

Name: ________________________ ID: A

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48. Preferred Car Colors

Color Number of StudentsBlue 48Red 12Silver 72Green 25Yellow 30

a. c.

b. d.

Name: ________________________ ID: A

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49. Regular Monthly Expenditures

Rent $500Utilities $150Auto $175Food $200Other $75

a. c.

b. d.

Name: ________________________ ID: A

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50. According to the circle graph above, what is the most preferred sport among those surveyed?a. hockey c. baseballb. football d. basketball

51. If a survey of 250 eighth grade students is illustrated in the circle graph above, how many students prefer football?a. 73 students c. 60 studentsb. 70 students d. 180 students

52. According to the circle graph above, which two artists combine for about one-fourth of the survey choices?a. Alana Miles and Anne Murray c. Anne Murray and Bryan Adamsb. Celine Dion and Alana Miles d. Alanis Morrisette and Bryan Adams

53. According to the circle graph above, which artist was the most popular?a. Alanis Morrisette c. Celine Dionb. Anne Murray d. Alana Miles

54. According to the circle graph above, if 1000 Canadians were surveyed, approximately how many would you predict would choose Anne Murray?a. 200 c. Cannot be determined from graph.b. 450 d. 125

Name: ________________________ ID: A

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Choose an appropriate display for each situation or set of data.

55. Students Involved in School Clubs

Club MembersPep Club 237Math Club 45Science Club 52Chess Club 23Spanish Club 62

a. histogramb. line plotc. circle graphd. scatter plot

56. scores on a math testa. scatter plot c. histogramb. line plot d. table

57. sales of the best selling cars?a. scatter plot c. histogramb. bar graph d. line plot

58. the percents of different types of pizza sold compared to the total number sold?a. histogram c. scatter plotb. line plot d. circle graph

Find the range for each set of data.

59. 75, 55, 68, 74, 89, 100, 95, 71, 58, 111, 53, 97, 117, 103, 82, 80a. 63 c. 81b. 64 d. 83

60. 10.3, 12.8, 12.9, 15.3, 15.9, 11.5, 4.3, 7.9, 9.6, 13.6, 2.8a. 11.5 c. 12.1b. 13.1 d. 11

ID: A

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Study Guide - Measures of Central Tendency & GraphingAnswer Section

MULTIPLE CHOICE

1. D 2. B 3. D 4. C 5. C 6. A 7. B 8. D 9. C 10. D 11. C 12. A 13. D 14. B 15. B 16. A 17. C 18. B 19. A 20. D 21. B 22. A 23. C 24. D 25. B 26. C 27. B 28. D 29. C 30. B 31. A 32. A 33. C 34. A 35. B 36. D 37. A 38. A 39. A

ID: A

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40. B 41. B 42. C 43. D 44. A 45. C 46. B 47. A 48. B 49. B 50. C 51. B 52. A 53. C 54. D 55. C 56. C 57. B 58. D 59. B 60. B