Chapter 10.4, Problem 11HP

To determine

To explain: The reason behind the fact that specific location of the centers and spreads of the given histograms cannot be described.

Answer to Problem 11HP

For given histograms centers and spread cannot be determined because heights don’t have specific values but are instead expressed in ranges.

Explanation of Solution

Given information: Two histograms representing data regarding buildings.

As the heights in given histograms are represented by ranges instead of specific values, the center cannot be determined accurately and can only be estimated, for histograms skewed in a direction like the given ones, the median $Q2$ is a rough estimate of the center of histogram. If center cannot be determined, the spread of other values with respect to it cannot be accurately determined too, however, a rough inaccurate estimate can be done.

Thus, for given histograms centers and spread cannot be determined because heights don’t have specific values but are instead expressed in ranges.