Question

comparing measures of center based on the shape of a histogram
which data distribution would most likely have a mean and median that are not close in value?

Explanation:

Step1: Recall property of mean and median

In a symmetric distribution, mean and median are close. In a skewed - distribution, they are not.

Step2: Analyze histograms

The first histogram is symmetric. The second histogram is approximately symmetric. The third histogram is right - skewed.

Step3: Determine the answer

A skewed distribution has a mean and median that are not close. So the right - skewed histogram is the answer.

Answer:

The right - skewed histogram (the third one in the image)