Statistics: Measures of Central Tendency · Class 11 · CBSE · Commerce Economics

A distribution of monthly household incomes contains a few exceptionally high incomes. Which measure of central tendency would best represent the typ…

Practice question from Statistics: Measures of Central Tendency (Class 11 · CBSE · Commerce Economics), with the correct answer and a step-by-step solution.

medium · Subjective · Q-43573C

A distribution of monthly household incomes contains a few exceptionally high incomes. Which measure of central tendency would best represent the typical income, and why?

Answer: The median would best represent the typical income because it is not greatly affected by a few exceptionally high values. The arithmetic mean would be pulled upward by these extreme incomes and may therefore give a misleading picture of the income of a typical household.

Solution

The median is appropriate for a skewed income distribution because it is resistant to extreme observations. Very high incomes can substantially increase the mean, whereas the median is based on the middle position.

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