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Question: Answered & Verified by Expert
If x¯ is the mean of n observations x1,x2,,xn then the mean of the absolute deviations of these observations from x¯ is
MathematicsStatisticsTS EAMCETTS EAMCET 2022 (18 Jul Shift 1)
Options:
  • A the variance of the data
  • B the mean proportion of the data
  • C the standard deviation of the data
  • D the mean deviation of the data
Solution:
1896 Upvotes Verified Answer
The correct answer is: the mean deviation of the data

If x¯ is the mean of n observations x1,x2,,xn then the mean of the absolute deviations of these observations from x¯ is the mean deviation of the data.

Here,

x¯=x1+x2+...+xnn    ....1

Mean deviation

=x1-x¯+x2-x¯+...+xn-x¯n

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