Q262 / 270 · NDA 2017 (Phase 1) · Mathematics

If the data are moderately non-symmetrical, then which one of the following empirical relationships is correct?

  • A
    $2 \times$ Standard deviation $=5 \times$ Mean deviation
  • B
    $5 \times$ Standard deviation $=2 \times$ Mean deviation
  • Correct answer
    C
    $4 \times$ Standard deviation $=5 \times$ Mean deviation
  • D
    $5 \times$ Standard deviation $=4 \times$ Mean deviation

Solution

We know, $\frac{4}{5}$ standard deviation $=$ Mean deviation $\Rightarrow 4 \times$ standard deviation $=5 \times$ mean deviation

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

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