Let the mean deviation about the mean of a data set consisting of 5 distinct observations be M. If one of the data points, say xi, is changed to xi + k, where k > 0, then which of the following statements is true?

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Mathematics · Statistics

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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The mean deviation about the new mean may increase or decrease depending on the values of k and the data points.

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Answer 1

The mean deviation about the new mean decreases.

Answer 2

The mean deviation about the new mean increases.

Answer 3

The mean deviation about the new mean may increase or decrease depending on the values of k and the data points.

Answer 4

The mean deviation about the new mean remains unchanged.

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