Q75 / 160 · TS EAMCET 2020 (09 Sep Shift 2) · Mathematics
The mean deviation from the arithmetic mean of the discrete data $2,7,5,6,4,3,11,17,8$ is
- A$\frac{17}{2}$
- Correct answerB$\frac{10}{3}$
- C$\frac{37}{2}$
- D$9$
Solution
Given observations are $2,7,5,6,4,3,11,17,8$.
$\therefore \quad \bar{x}=\frac{2+7+5+6+4+3+11+17+8}{9}=\frac{63}{9}=7$

Now, $M D=\frac{\Sigma d_i}{N}=\frac{30}{9}=\frac{10}{3}$

Now, $M D=\frac{\Sigma d_i}{N}=\frac{30}{9}=\frac{10}{3}$
Hence, the correct answer is option: 'B'.