A fire department’s response time measures the time from when the alarm is sounded at the firehouse to the time the first fire engine leaves the station. The histograms below display the response times for fire departments in two small towns: Hilltown and Crestview.
Which of the following correctly compares the variability in response times for the two towns?
Hilltown and Crestview show similar variability in their response times.
The variability in Hilltown’s response times is less than that of Crestview.
The median response time in Crestview is greater than that of Hilltown.
The variability in Hilltown’s response times is greater than that of Crestview.
Mark
The histograms do not provide enough information to determine the variability in response times for the two towns.
The correct answer is:
The variability in Hilltown's response times is less than that of Crestview.
To compare the variability in response times for the two towns, we can look at the shape of the histograms.
If the histograms for both towns show a similar spread of response times, then we can conclude that the two towns have similar variability in their response times.
If the histogram for Hilltown is more concentrated and has less spread than the histogram for Crestview, then we can conclude that the variability in Hilltown's response times is less than that of Crestview.
If the median response time in Crestview is greater than the median response time in Hilltown, then we can conclude that the median response time in Crestview is greater than that of Hilltown.
If the histogram for Hilltown has a wider spread and more variability than the histogram for Crestview, then we can conclude that the variability in Hilltown's response times is greater than that of Crestview.
Based on the given information, we cannot directly compare the histograms of Hilltown and Crestview to determine the correct answer.