Questions

zMath Intervention Math (19-36) - Unit 26: Display and Interpret Data

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Stem-and-Leaf Plots

1) What stems would be used to plot the following data: 3, 8, 15, 19, 22, 39, 20, 30, 27, 24, 13, 9, 43, 15, 20?

a.) 0, 1, 2, 3, 4

b.) 1, 2, 3, 4

c.) 0, 1, 2

d.) 0, 1, 2, 3

Refer to the Stem-and-Leaf Plot below to answer the next two questions.

2) True or False. The data value, 27, can be represented by “7 | 2”.

True

False

Which statement about the stem-and-leaf plot is true?

a.) The greatest data value is 48.

b.) The mode is 27.

c.) The median is 27.

d.) The range is 43.

Students in the ninth grade class completed a survey in which they were asked how many hours they spent watching TV in the month of September. Their responses are shown below. Use the data to answer the next three questions.

4) Which stem-and-leaf plot represents the data? State the letter of the correct answer.

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5) How many students watched more than 30 hours of TV in September?

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6) How many students watched exactly 33 hours of TV?

a.) One student

b.) Two students

c.) Three students

d.) None of the students

Measures of Variation

The average mean daily temperatures for Columbus, OH, over a thirty-year span are listed below. Calculate the median, lower quartile, upper quartile, interquartile range, and range, and then answer the next four questions.

7) What is the median?

a.) 52.0

b.) 53.35

c.) 54.7

d.) None of the above is correct.

8) What are the lower and upper quartiles?

a.) 37.75 and 68.85

b.) 37.75 and 53.35

c.) 28.3 and 75.1

d.) 75.5 and 137.7

9) What is the range?

a.) 2.7

b.) 31.1

c.) 46.8

d.) None of the above is correct.

10) What is the interquartile range?

a.) 2.7

b.) 31.1

c.) 46.8

d.) None of the above is correct.

The stem-and-leaf plot shown below represents prices of basketball shoes at The Runner's Warehouse. Use the stem-and-leaf plot to answer the next four questions.

11) What is the median?

a.) 40

b.) 69

c.) 75

d.) 89

12) What are the lower and upper quartiles?

a.) 40 and 89

b.) 52 and 64.5

c.) 50 and 75

d.) 51 and 77.5

13) What is the range?

a.) 49

b.) 26.5

c.) 20

d.) 34.5

14) What is the interquartile range?

a.) 49

b.) 26.5

c.) 20

d.) 34.5

Box-and-Whiskers Plots

The box-and-whiskers plot below shows the height in inches of fifteen girls on the Blue Devil High volleyball team. Use the plot to answer the next four questions.

15) What is the median?

a.) 59 inches

b.) 61 inches

c.) 66 inches

d.) 68 inches

e.) 72 inches

16) What are the lower and upper extremes?

a.) 61 inches and 66 inches

b.) 59 inches and 72 inches

c.) 66 inches and 68 inches

d.) 61 inches and 68 inches

17) What are the lower and upper quartiles?

a.) 61 inches and 66 inches

b.) 59 inches and 72 inches

c.) 66 inches and 68 inches

d.) 61 inches and 68 inches

18) What is the interquartile range?

a.) 5 inches

b.) 13 inches

c.) 2 inches

d.) 7 inches

19) A student used the data below to draw the box-and-whiskers plot. What is wrong with the student’s graph?

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Sampling

For the next five problems, select the type of sampling for the given situation.

20) Students assigned to an odd-numbered seat were surveyed.

a.) Simple random sample

b.) Stratified random sample

c.) Systematic random sample

d.) Convenience sample

21) The Tigers football team members were surveyed to see if they preferred sports or contemporary music.

a.) Biased

b.) Unbiased

22) A person at the local pet store solicited willing shoppers to fill out a survey about the type of pet(s) they own.

a.) Systematic random sample

b.) Stratified random sample

c.) Voluntary response sample

d.) Simple random sample

23) A surveyor flipped through the phone book and selected 50 names by pointing to a name without reading the name first.

a.) Biased

b.) Unbiased

24) The math teacher asked every third student if he or she would rather have a take-home test on Friday or an open-book test in class on Monday.

a.) Simple random sample

b.) Stratified random sample

c.) Convenience sample

d.) Systematic random sample

25) Why is the question below potentially biased? Rewrite the paragraph so that the question is not biased.

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Samples and Predictions

26)

Cool Diamonds jewelry store conducted a survey of 100 shoppers in the local mall and asked the participants if they owned a "Cool Diamonds" credit card. Twenty-four of the 100 shoppers said that they owned one. If about 4,500 people shop in the mall each day, predict how many of them probably have a Cool Diamonds credit card.

a.) 2,250 people

b.) 1,250 people

c.) 450 people

d.) 1,080 people

27)

In a survey of 300 residents of Johnstown, 43 use whitening strips suggested by their dentists. If there are 10,800 people that live in Johnstown, how many of them probably use whitening strips?

a.) 36 people

b.) 1,112 people

c.) 1,548 people

d.) 2,000 people

28) Television networks rely on surveys to determine how many people watch their programs. In a survey of 3,000 randomly selected households, 480 of the households watched the same game show that was airing on Saturday night only. If there are 105 million households in the United States, about how many households watched the same game shown?

a.) 14,000,000 households

b.) 17,000,000 households

c.) 16,800,000 households

d.) 15,000,000 households

The nation’s leading cable company has 39.5 million customers (39,500,000). Below are the results of a survey sample of 500 customers conducted to determine which type of cable service the customers have purchased. Use the results to answer the next five questions.

29) Predict about how many of the 39.5 million cable customers have only high-speed Internet.

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30) True or False. The proportion to solve the previous problem is as follows: 152 / 500 = x / 39,500,000.

True

False

31) Predict what PERCENT of the cable customers have only high-speed Internet?

a.) 38%

b.) 23%

c.) 30.4%

d.) 8.6%

32) True or False. To determine about how many of the 39.5 million cable customers have only high-speed Internet, the decimal for the percent answer in the previous problem can be multiplied by 39.5 million.

True

False

33) Predict about how many of the 39.5 million cable customers have cable TV only?

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