Question
The approximate value of mean deviation for a normal distribution is $8.$ Find its standard deviation.

Answer

Here, mean deviation $=8$
In normal distribution, mean deviation $\approx \frac{4}{5} \sigma$
$\therefore 8 \approx \frac{4}{5} \sigma$
$ \therefore \sigma \approx \frac{8 \times 5}{4} \approx 10$
Hence, the standard deviation obtained is $10.$

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