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Chapter 2: Q. 53 (page 134)

When the data are symmetrical, what is the typical relationship between the mean and median?

Short Answer

Expert verified

When the data are symmetrical, the mean and median are close or the same.

Step by step solution

01

Given information

The data given is symmetrical.

02

Explanation

In order to see the distribution of the data, we can use the below properties:

When Mean>Median>Mode,then the data is positively skewed.

When Mean<Median<Mode,then the data is negatively skewed.

When Mean=Median=Mode,then the data is symmetrical

Therefore, in the case of left-skewed data, the mean is equal to medium. Also, the relation between the mean ad median is Mean=Median.

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