Question

which of the following correctly compares the variability in response times for the two towns?
hiltown and crestview show similar variability in their response times.
the variability in hiltowns response times is less than that of crestview.
the median response time in crestview is greater than that of hiltown.
the variability in hiltowns response times is greater than that of crestview.

Explanation:

Step1: Analyze the spread of the histograms

In a histogram, the spread of the bars (relative frequency distribution) indicates variability. A more spread - out histogram has greater variability.
For Hilltown's histogram (left one), the bars are more spread out across the response - time intervals (from 20 to 80). For Crestview's histogram (right one), the bars are more clustered.
Mathematically, if we consider the concept of variance (a measure of variability, though we don't calculate it here), a wider spread of data points (as represented by the bars in the histogram) implies a larger variance.

Answer:

The variability in Hilltown's response times is greater than that of Crestview.