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 answerC$4 \times$ 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'.