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 exactly 27.5 pounds. the mean is most likely less than 27 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 property of skewed distributions

For a right - skewed distribution, the mean is greater than the median. Since the median is 27.5 pounds, the mean will be greater than 27.5 pounds.

Step3: Evaluate options

Among the options, values greater than 27.5 pounds are considered. The option "The mean is most likely about 28 pounds" and "The mean is most likely more than 28 pounds" are candidates. Since the tail is not extremely long, 28 pounds is a reasonable estimate.

Answer:

The mean is most likely about 28 pounds.