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Chapter 2: Q7 (page 56)

Interpreting a Histogram. In Exercises 5鈥�8, answer the questions by referring to the following Minitab-generated histogram, which depicts the weights (grams) of all quarters listed in Data Set 29 鈥淐oin Weights鈥� in Appendix B. (Grams are actually units of mass and the values shown on the horizontal scale are rounded.)

Relative Frequency Histogram How would the shape of the histogram change if the vertical scale uses relative frequencies expressed in percentages instead of the actual frequency counts as shown here?

Short Answer

Expert verified

There would be no change in the shape of the histogram if relative frequencies are plotted instead of frequencies.

Step by step solution

01

Given information

A histogram is plotted for the weights of a set of quarters.

02

Interpretation

The relative frequencies are frequencies of class intervals expressed in percentages.

If the relative frequencies are plotted instead of the frequencies, the shape of the histogram would remain the same.

However, the points on the vertical scale would change the lengths of the bars that are proportional to each other, whether the frequencies or the relative frequencies are plotted.

Therefore, the shape of the histogram will not change.

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Most popular questions from this chapter

In Exercises 5鈥�8, identify the class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary. The frequency distributions are based on real data from Appendix B.

Blood Platelet Count of Males

Frequency

0-99

1

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51

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90

300-399

10

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0

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Cumulative Frequency Distributions. In Exercises 21 and 22, construct the cumulative frequency distribution that corresponds to the frequency distribution in the exercise indicated.

Exercise 5 (Age of Best Actress When Oscar Was Won)

Frequency Polygon. In Exercises 15 and 16, construct the frequency polygons.

Old Faithful Use the frequency distribution from Exercise 11 in Section 2-1 on page 49 to construct a frequency polygon. Does the graph suggest that the distribution is skewed? If so, how?

Constructing Frequency Distributions. In Exercises 11鈥�18, use the indicated data to construct the frequency distribution. (The data for Exercises 13鈥�16 can be downloaded at TriolaStats.com.)

Analysis of Last Digits Heights of statistics students were obtained by the author as part of an experiment conducted for class. The last digits of those heights are listed below. Construct a frequency distribution with 10 classes. Based on the distribution, do the heights appear to be reported or actually measured? What do you know about the accuracy of the results?

0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 8 8 8 9

Deceptive Graphs. In Exercises 17鈥�20, identify how the graph is deceptive.

Incomes and Academic Degrees The accompanying graph depicts workers with various academic degrees along with their income levels.
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