comparing measures of center based on the shape of a histogram\nwhich data distribution would most likely…

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

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

Answer

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 two histograms are approximately symmetric. The third histogram is right - skewed. In a right - skewed distribution, the mean is pulled in the direction of the tail (to the right) and is greater than the median.

Answer:

The right - skewed (third) histogram.