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The sum of deviations of all observations from the arithmetic mean of a dataset is always ______.

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Question

The sum of deviations of all observations from the arithmetic mean of a dataset is always ______.

Options

  • Maximum

  • Minimum

  • Zero

  • Undefined

MCQ
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Solution

The sum of deviations of all observations from the arithmetic mean of a dataset is always zero.

Explanation:

By definition, the arithmetic mean ensures the sum of all deviations from the mean equals zero.​

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