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91Ó°ÊÓ

Describe how the mean compares to the median for distribution as follows:

a.Skewed to the left

b.Skewed to the right

c.Symmetric

Short Answer

Expert verified

a. The mean is smaller than the median

b. The mean is greater than the median

c. The mean and median are the same

Step by step solution

01

Comparing the mean to the median when the distribution is skewed to the left

In a leftward skewed distribution, the extreme observations or the higher values in the data set are to the left of the distribution.As a result, the median shifts to the right side of the distribution. Hence, the mean is smaller than the median.

02

Analyzing the mean and the median when the distribution is skewed to the right

In a rightward skewed distribution, the extreme observations or the higher values in the data set are to the right of the distribution.As a result, the median shifts to the left side of the distribution. Hence, the mean is greater than the median.

03

Examining the mean and the median when the distribution is symmetric

In a symmetric distribution, the data is distributed proportionately. Hence the mean and the median are the same.

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