Chapter 1, Problem T1.5SPT

To determine

To find: the following is most likely true.

Answer to Problem T1.5SPT

Mean>median, range>IQR

Explanation of Solution

Given:

  

By seeing the distribution, it is observed that it looking skewed to the right, the reason is that the histogram with a tail of smaller bars to the right

The mean is not resistant, where the median is resistant. This then means that the mean is affected stronger by unusually large amount values compared to the median and therefore the mean will be bigger than the median.

The range is the difference between the maximum and the minimum of the distribution, while the inter quartile range IQR is the difference between the third quartile and the first quartile This then means that the minimum is less than the first quartile and the third quartile is less than the maximum, which causes the range to be larger than the inter quartile range IQR.

Hence, the correct option is (c)