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The mean of a data consisting of five distinct integers is also an integer. If their variance lies in the interval (5,6), then their mean deviation about the mean is equal to

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answer is 2.

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Detailed Solution

The variance is minimum when the data consists of five consecutive integers and increases when the integers are scattered away from the mean. So the integers can be taken to be $- 3, - 2, 0, 2, 3 .$

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