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TS EAMCET · Maths · Statistics

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

  1. A the variance of the data
  2. B the mean proportion of the data
  3. C the standard deviation of the data
  4. D the mean deviation of the data
Verified Solution

Answer & Solution

Correct Answer

(D) the mean deviation of the data

Step-by-step Solution

Detailed explanation

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