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32 Presenting Data in Tables and Charts

CHAPTER 2: PRESENTING DATA IN TABLES AND

CHARTS

TABLE 2-1

An insurance company evaluates many numerical variables about a person before deciding on an appropriate rate for automobile insurance. A representative from a local insurance agency selected a random sample of insured drivers and recorded X, the number of claims each made in the last 3 years, with the following results: X f 1 14 2 18 3 12 4 5 5 1

1. Referring to Table 2-1, how many drivers are represented in the sample?

a) 5 b) 15 c) 18 d) 50

ANSWER: d

TYPE: MC DIFFICULTY: Easy KEYWORDS: frequency distribution

2. Referring to Table 2-1, how many total claims are represented in the sample?

a) 15 b) 50 c) 111 d) 250

ANSWER: c

TYPE: MC DIFFICULTY: Moderate

KEYWORDS: interpretation, frequency distribution

Presenting Data in Tables and Charts 33

3. A type of vertical bar chart in which the categories are plotted in the descending rank order of the

magnitude of their frequencies is called a

a) contingency table. b) Pareto diagram. c) dot plot. d) pie chart.

ANSWER: b

TYPE: MC DIFFICULTY: Easy KEYWORDS: Pareto diagram

TABLE 2-2

At a meeting of information systems officers for regional offices of a national company, a survey was taken to determine the number of employees the officers supervise in the operation of their

departments, where X is the number of employees overseen by each information systems officer.

X f_ 1 7 2 5 3 11 4 8 5 9

4. Referring to Table 2-2, how many regional offices are represented in the survey results?

a) 5 b) 11 c) 15 d) 40

ANSWER: d

TYPE: MC DIFFICULTY: Easy

KEYWORDS: interpretation, frequency distribution

5. Referring to Table 2-2, across all of the regional offices, how many total employees were

supervised by those surveyed?

a) 15 b) 40 c) 127 d) 200

ANSWER: c

TYPE: MC DIFFICULTY: Moderate

KEYWORDS: interpretation, frequency distribution

34 Presenting Data in Tables and Charts

6. The width of each bar in a histogram corresponds to the

a) differences between the boundaries of the class. b) number of observations in each class. c) midpoint of each class.

d) percentage of observations in each class.

ANSWER: a

TYPE: MC DIFFICULTY: Easy KEYWORDS: frequency distribution

TABLE 2-3

Every spring semester, the School of Business coordinates with local business leaders a luncheon for graduating seniors, their families, and friends. Corporate sponsorship pays for the lunches of each of the seniors, but students have to purchase tickets to cover the cost of lunches served to the guests they bring with them. The following histogram represents the attendance at the senior luncheon, where X is the number of guests each graduating senior invited to the luncheon, and f is the number of graduating seniors in each category.

160140120100Frequency15285806040200012Guests per Student341718305

7. Referring to the histogram from Table 2-3, how many graduating seniors attended the luncheon?

a) 4 b) 152 c) 275 d) 388

ANSWER: c

TYPE: MC DIFFICULTY: Difficult

EXPLANATION: The number of graduating seniors is the sum of all the frequencies, f. KEYWORDS: interpretation, histogram

Presenting Data in Tables and Charts 35

8. Referring to the histogram from Table 2-3, if all the tickets purchased were used, how many

guests attended the luncheon?

a) 4 b) 152 c) 275 d) 388

ANSWER: d

TYPE: MC DIFFICULTY: Difficult

EXPLANATION: The total number of guests is KEYWORDS: interpretation, histogram

9. A professor of economics at a small Texas university wanted to determine which year in school

students were taking his tough economics course. Shown below is a pie chart of the results. What percentage of the class took the course prior to reaching their senior year?

Seniors14%Freshmen10%?6i?1Xifi

Juniors30%Sophomores46%a) b) c) d)

14% 44% 54% 86%

ANSWER: d

TYPE: MC DIFFICULTY: Easy

KEYWORDS: interpretation, pie chart

36 Presenting Data in Tables and Charts

10. When polygons or histograms are constructed, which axis must show the true zero or \

a) the horizontal axis b) the vertical axis

c) both the horizontal and vertical axes

d) neither the horizontal nor the vertical axis

ANSWER: b

TYPE: MC DIFFICULTY: Easy KEYWORDS: polygon, histogram

11. When constructing charts, the following is plotted at the class midpoints:

a) frequency histograms. b) percentage polygons.

c) cumulative relative frequency ogives. d) all of the above

ANSWER: b

TYPE: MC DIFFICULTY: Easy KEYWORDS: percentage polygon

TABLE 2-4

A survey was conducted to determine how people rated the quality of programming available on television. Respondents were asked to rate the overall quality from 0 (no quality at all) to 100 (extremely good quality). The stem-and-leaf display of the data is shown below.

Stem Leaves 3 24 4 03478999 5 0112345 6 12566 7 01 8

9 2

12. Referring to Table 2-4, what percentage of the respondents rated overall television quality with a

rating of 80 or above?

a) 0.00 b) 0.04 c) 0.96 d) 1.00

ANSWER: b

TYPE: MC DIFFICULTY: Easy

KEYWORDS: stem-and-leaf display, interpretation

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