Q 107. - The Practice of Statistics for AP

Question

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

(a) mean $<$ median.                   (d) mean > median.

(b) mean $\approx$median.                   (e) We can’t tell without examining the data. 

(c) mean $=$ median. 

Step-by-Step Solution

Answer

The correct option is (d) mean $>$ median.

Step 1: Given information

There are no outliers in a right-skewed distribution.

Step 2: Concept

Statistical Measures are a descriptive-analytical technique that provides an overview of a data set's properties.

Step 3: Explanation

As right-skewed distribution presents lots of observation, there are no outliers.

Due to this reason, large observation affects the mean and does not affect the median. As per the above statement, the mean is greater than the median.