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 answer
    B
    $\frac{10}{3}$
  • C
    $\frac{37}{2}$
  • D
    $9$

Solution

Given observations are $2,7,5,6,4,3,11,17,8$. $\therefore \quad \bar{x}=\frac{2+7+5+6+4+3+11+17+8}{9}=\frac{63}{9}=7$ Figure
Now, $M D=\frac{\Sigma d_i}{N}=\frac{30}{9}=\frac{10}{3}$

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

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