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 the relationship between mean and median

In a symmetric distribution, the mean is close to the median. In a skewed distribution, the mean is pulled in the direction of the skew.

Step2: Analyze the histograms

The second histogram is more symmetric around the median value of 29.5 compared to the first one. A symmetric distribution implies that the mean is likely to be close to the median.

Answer:

The second histogram (the yellow - colored one) most likely has a mean closest to 29.5.