Q255 / 270 · NDA 2022 (Phase 1) · Mathematics

What is the coefficient of mean deviation of $21,34,23,39$, $26,37,40,20,33,27$ (taken from mean)?

  • A
    0.11
  • Correct answer
    B
    0.22
  • C
    0.33
  • D
    0.44

Solution

Here mean $\begin{aligned} & =\frac{21+34+23+39+26+37+40+20+33+27}{10} \\ & =\frac{300}{10} \Rightarrow 30\end{aligned}$ Mean deviation $=\frac{|-9|+4+|-7|+9+|-4|+7+10+|-10|+3+|-3|}{10}$ $=\frac{66}{10}=6.6$ Coefficient of mean deviation $=\frac{\text { Mean Deviation }}{\text { Mean }}$

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

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