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.)

Sample Size What is the approximate number of quarters depicted in the three bars farthest to the left?

Short answer

The approximate number of quarters plotted on the farthest left portion of the histogram is equal to 40.

Step-by-step solution

Given information

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

Interpret the three leftmost bars in the histogram

The farthest left portion of the histogram has three vertical bars corresponding to the weights between 5.5 grams to 5.8 grams.

The length of the vertical bar depicts the number of quarters for the corresponding range of weights on the horizontal axis.

The length of the first bar is approximately equal to 12 quarters.

The length of the second bar is approximately equal to 20 quarters.

The length of the third bar is approximately equal to 8 quarters.

Therefore, the total length is equal to:

$12+20+8=40$

Thus, the total number of quarters represented by the leftmost portion of the histogram is approximately equal to 40.