Chapter 1.3, Problem 107E

To determine

To select: the best answer

Answer to Problem 107E

Option (d) is the best answer

Explanation of Solution

Given:

If a distribution is skewed to the right with no outliers,

(a) mean $<$ median.

(b) mean $\approx$ median.

(c)mean $=$ median.

(d) mean $>$ median.

(e) We can’t tell without examining the data.

Calculation:

A right-skewed distribution has a few large observations (that are not outliers).

The median is unaffected by these large observations, while the mean is affected by these large observations.

Thus the mean will be larger than the median.

mean $>$ median.