Question

Interpreting a Histogram. In Exercises 5–8, answer the questions by referring to the following Minitab-generated histogram, which depicts the weights (grams) of all quarters listed in Data Set 29 “Coin Weights” 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

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

Step-by-step solution

Given information

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

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.