Question

each histogram represents a set of data with a median of 29.5. which set of data most likely has a mean that is closest to 29.5?

Explanation:

Step1: Recall mean - median relationship

In a symmetric distribution, the mean and median are approximately equal. In a skewed - right distribution, the mean is greater than the median. In a skewed - left distribution, the mean is less than the median.

Step2: Analyze the histograms

The first histogram is slightly skewed to the right (the tail on the right - hand side is longer). The second histogram is more symmetric. Since the median is 29.5, for the mean to be closest to 29.5, we want a more symmetric distribution.

Answer:

The second histogram.