Discuss the conditions under which the median is preferred to the mean as a measure of central tendency.

Short Answer

Expert verified

When there is skewness in the data set.

Step by step solution

01

Central tendency

The definition of central tendency is the statistic metric that identifies a specific value as typical of a whole distribution.It strives to offer a complete explanation of the information. It is the single most traditional number from the obtained data.

02

Comparison between mean and the median

The mean is the average of all the observations.

The Median is the value at the center of the data set. 50% of values lie above the median, and 50% lie below the median.

The Median is mainly preferred over the mean when the data is skewed. A skewed data set affects the mean and pulls it towards the extreme values. As a result, the mean does not accurately represent the central tendency of the data.

The Median is not get affected by extreme values. Therefore, in skewed data sets, the median is preferred over the mean.

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