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:

In a histogram, if the data is skewed to the right (as it appears here with a tail towards higher weights), the mean is pulled in the direction of the skew. The median is less affected by extreme values. Since there are some higher - weight bags (in the tail), the mean will be greater than the median. The median is 27.5 pounds. A value of about 28 pounds is a reasonable estimate for the mean as it is slightly greater than the median but not overly large considering the data distribution.

Answer:

The mean is most likely about 28 pounds.