Question

here again is the histogram showing the distribution of 50 ages at death due to trauma (accidents and homicides) that occurred in a certain hospital during a week. for the data described by the above histogram, (a) the median will be bigger than the mean. (b) the median will be smaller than the mean. (c) the median and the mean will be about the same. (d) the median and the range will be about the same. (e) both (b) and (d) are correct.

Explanation:

Step1: Analyze histogram shape

The histogram is right - skewed. In a right - skewed distribution, the tail on the right side (higher values) is longer.

Step2: Recall mean and median properties

The mean is pulled in the direction of the tail. The median is the middle value. In a right - skewed distribution, the mean is larger than the median because the few large values in the tail increase the mean but have less effect on the median.

Answer:

B. the median will be smaller than the mean.