MAT 181- Chapter 2 Practice Problems-1

Name___________________________________

1) The following frequency distribution represents the scores on a math test. Find the class midpoint of scores for the

interval 40-59.

Scores Number of students

50-59 2

60-69 4

70-79 6

80-89 15

90-99 5

A) 49.5 B) 50.5 C) 49.0 D) 48.5

2) The following frequency distribution analyzes the scores on a math test. Find the class boundaries of scores interval

90-99.

Scores Number of students

50-59 2

60-69 4

70-79 6

80-89 15

90-99 5

A) 89.5, 99.5 B) 90.5, 99.5 C) 89.5, 100.5 D) 89.5, 100.5

3) A school district performed a study to find the main causes leading to its students dropping out of school. Thirty cases

were analyzed, and a primary cause was assigned to each case. The causes included unexcused absences (U), illness (I),

family problems (F), and other causes (O). The results for the thirty cases are listed below:

U U U I F O O U I F

F O U I I F I I O U

I F F U U I I O F U

Construct a table summarizing the frequency distribution of the primary causes leading to student dropout.

4) The following data set represents Heather’s average monthly charges (in $) for cable TV for the past 24 months.

105 125 110 98 102 115 110 123 118 101 95 128

110 105 122 107 118 107 117 125 116 110 101 107

Construct a frequency distribution with 4 classes, a class width of 10 hours, and an initial lower limit of 90 and draw a

histogram.

Provide an appropriate response.

5) The scores on a recent statistics test are given in the frequency distribution below. Construct the corresponding relative

frequency distribution. Round relative frequencies to the nearest hundredth of a percent if necessary.

A) B) C) D)

6) A store manager counts the number of customers who make a purchase in his store each day. The data are as follows.

10 11 8 14 7 10 10 11 8 7

Which of these choices display the correct dotplot?

A) B)

B)

7) The weights (in pounds) of 22 members of the junior varsity football team are listed below.

144 152 142 151 160 152 131 164 141 153 140

144 175 156 147 133 172 159 135 159 148 171

Which of these choices display the correct stemplot?

A) B)

13 1 3 5

14 0 1 2 4 4 7 8

15 1 2 2 3 6 9 9

16 0 4

17 1 2 5

8) The histogram below represents the number of television sets per household for a sample of U.S. households. What is

the sample size?

Number of Television Sets Per U.S. Household

A) 100 households B) 90 households C) 5 households D) 50 households

13 1 3 5

14 1 2 2 3 6 9 9

15 0 1 2 4 4 7 8

16 0 4

17 1 2 5

Provide an appropriate response.

9) The histogram below represents the number of television sets per household for a sample of U.S. households. What is

the class width?

A) 1 B) 5 C) 2 D) 0.5

10) Identify the cumulative frequency distribution that corresponds to the given frequency distribution.

A) B)

Use the pie chart to solve the problem.

11) A survey of the 9833 vehicles on the campus of State University yielded the following pie chart.

What percent of the vehicles are hatchbacks?

A) 26% B) 354% C) 36% D) 8%

12) A survey of the 8115 vehicles on the campus of State University yielded the following pie

chart.

Together, what percent of the vehicles are either vans or convertibles?

A) 7% B) 144% C) 16% D) 25%