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Chapter 1: Q 15. (page 24)

Cool car colors The most popular colors for cars and light trucks change over time. Silver advanced past green in 2000 to become the most popular color worldwide, then gave way to shades of white in 2007. Here is a relative frequency table that summarizes data on the colors of vehicles sold worldwide in a recent year.

(a) What percent of vehicles would fall in the 鈥淥ther鈥� category?

(b) Make a bar graph to display the data. Describe what you see.

(c) Would it be appropriate to make a pie chart of these data? Explain.

Short Answer

Expert verified

Part (a) 2%.

Part (b)

Part (c) Yes.

Step by step solution

01

Part (a) Step 1. Given information.

The given table is:

02

Part (a) Step 2. Find Other categories' percent of vehicles.

Other categories' percent of vehicles:

=100-19+6+5+12+1+9+14+29+3=100-98=2%

03

Part (b) Step 1. Construct a frequency bar graph.

As can be seen, the most popular automotive colors are white and black, while green and gold are the least popular.

04

Part (c) Explain if it is appropriate to make a pie chart of these data.

We calculate the percentage of vehicles for "Other" in part (a) so that the total percentage of vehicles is 100 percent.

Because the total proportion of all categories is 100 percent, and each category represents a portion of that 100 percent, a pie chart is appropriate.

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Most popular questions from this chapter

Ranking colleges Popular magazines rank colleges and universities on their 鈥渁cademic quality鈥� in serving undergraduate students. Describe two categorical variables and two quantitative variables that you might record for each institution.

Going up? As of 2015, there were over 75,000 elevators in New York City. The frequency table summarizes data on the number of elevators of each type.

(a) Identify the individuals in this data set.

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When comparing two distributions, it would be best to use relative frequency histograms rather than frequency histograms when

a. the distributions have different shapes.

b. the distributions have different amounts of variability.

c. the distributions have different centers.

d. the distributions have different numbers of observations.

e. at least one of the distributions has outliers

The histogram shows the distribution of the percent of women aged 15 and over who have never married in each of the 50 states and the District of Columbia. Which of the following statements about the histogram is correct?

a. The center (median) of the distribution is about 36%.

b. There are more states with percentages above 32 than there are states with percentages less than 24.

c. It would be better if the values from 34 to 50 were deleted on the horizontal axis so there wouldn鈥檛 be a large gap.

d. There was one state with a value of exactly 33%.

e. About half of the states had percentages between 24% and 28%.

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