Question

the histogram shows the weights, in pounds, of checked luggage on a flight. the median weight of a checked bag is 27.5 pounds. how does the mean of the data most likely compare to the median? the mean is most likely less than 27 pounds. the mean is most likely exactly 27.5 pounds. the mean is most likely about 28 pounds. the mean is most likely more than 28 pounds.

Explanation:

Step1: Analyze histogram shape

The histogram is right - skewed. In a right - skewed distribution, the mean is pulled in the direction of the tail.

Step2: Recall mean - median relationship

For a right - skewed distribution, the mean is greater than the median. The median is 27.5 pounds. Since the tail on the right side has larger values, the mean will be larger than the median.

Answer:

The mean is most likely more than 28 pounds.