The mean deviation from the mean for the data $6,7,10$, $12,13,4,12,16$ is

The mean deviation from the mean for the data $6,7,10$, $12,13,4,12,16$ is
  1. $3: 25$
  2. $3.52$
  3. $3.33$
  4. $2.35$

Solution

Mean $=\frac{6+7+10+12+13+4+12+16}{8}=10$ Mean deviation $ \begin{aligned} & |6-10|+|7-10|+|10-10|+|12-10|+|13-10| \\ = & \frac{+|4-10|+|12-10|+|16-10|}{8} \\ = & \frac{4+3+0+2+3+6+2+6}{8}=\frac{26}{8}=3.25 \end{aligned} $

Asked in: AP EAMCET 2023 (19 May Shift 1)

Practice more Statistics questions on Aicharya