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 mean of the data most likely compare to the median? the mean is most likely more than 28 pounds. the mean is most likely less than 27 pounds. the mean is most likely exactly 27.5 pounds.

Explanation:

Step1: Analyze the histogram's skew

The histogram has a right skew (tail on the right, higher weights). In a right - skewed distribution, the mean is pulled towards the tail (higher values) and is greater than the median. The median is 27.5 pounds.

Step2: Evaluate the options

• Option 1: Since the mean is pulled up by the right - skew (higher weight bags), it should be more than 27.5, and likely more than 28. This is consistent with right - skew properties.
• Option 2: In a right - skewed distribution, mean > median, so mean less than 27 is wrong.
• Option 3: Mean and median are equal in symmetric distributions, not right - skewed. So this is wrong.

Answer:

The mean is most likely more than 28 pounds.