The approximate value of mean deviation for a normal distribution is 8

1.	The approximate value of mean deviation for a normal distribution is 8. Find the value of its standard deviation.
Answer» Here, mean deviation = 8 In normal distribution, mean deviation ≈ \(\frac{4}{5}\) σ ∴ 8 ≈ \(\frac{4}{5}\) σ ∴ σ ≈ \(\frac{8×5}{4}\) ≈ 10 Hence, the standard deviation obtained is 10.

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

Answer»

Here, mean deviation = 8

In normal distribution, mean deviation ≈ \(\frac{4}{5}\) σ

∴ 8 ≈ \(\frac{4}{5}\) σ

∴ σ ≈ \(\frac{8×5}{4}\) ≈ 10

Hence, the standard deviation obtained is 10.