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NDA 2022
Exam
NDA
Year
2022
Subject
Mathematics
Chapter
Statistics

NDA 2022 · Mathematics · Statistics

What is the coefficient of mean deviation of 21,34,23,39 ,...

What is the coefficient of mean deviation of 21,34,23,3921,34,23,39, 26,37,40,20,33,2726,37,40,20,33,27 (taken from mean)?

Options

  1. A0.11
  2. B0.22
  3. C0.33
  4. D0.44

Correct answer

B. 0.22

Step-by-step solution

Here mean =21+34+23+39+26+37+40+20+33+2710=30010⇒30\begin{aligned} & =\frac{21+34+23+39+26+37+40+20+33+27}{10} \\ & =\frac{300}{10} \Rightarrow 30\end{aligned} Mean deviation =∣−9∣+4+∣−7∣+9+∣−4∣+7+10+∣−10∣+3+∣−3∣10=6610=\frac{|-9|+4+|-7|+9+|-4|+7+10+|-10|+3+|-3|}{10}=\frac{66}{10}=6.6Coefficient of meandeviation= Mean Deviation  Mean mean deviation =\frac{\text{ Mean Deviation }}{\text{ Mean }}
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