Q75 / 160 · TS EAMCET 2022 (18 Jul Shift 1) · Mathematics

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

  • A
    the variance of the data
  • B
    the mean proportion of the data
  • C
    the standard deviation of the data
  • Correct answer
    D
    the mean deviation of the data

Solution

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

Hence, the correct answer is option: 'D'.

More Statistics Questions