Chapter 1.3, Problem 1.4CYU

To determine

To Find: Justification for mean or median be a more appropriate summary of the center of this distribution of drive times.

Answer to Problem 1.4CYU

As the given distribution is skewed the median would be a better measure of the center.

Explanation of Solution

Given information:

Median: $22.5$ minutes.

Justification for mean or median be a more appropriate summary of the center of this distribution of drive times is like:

Mean even is a natural measure for unimodal symmetric distribution it might be misleading for the skewed distributions along with outliers, so median is better choice for skewed distribution with outliers.

As the given distribution is skewed the median will be a better measure of the center.