The coefficient of skeweness of a distribution is 0.85. If its mean is

1.	The coefficient of skeweness of a distribution is 0.85. If its mean is 3.4 more than its mode, find its variance.
Answer» Here, j = 0.85; x̄ = M₀ + 3.4; s² =? Now, j = \(\frac{\bar x−M_0}{s}\) ∴ 0.85 = \(\frac{M_o+3.4−M_o}{s}\) ∴ 0.85s = 3.4 ∴ s = \(\frac{3.4}{0.85}\) ∴ s = 4 Now, variance = s² ∴ variance = (4)² = 16

The coefficient of skeweness of a distribution is 0.85. If its mean is 3.4 more than its mode, find its variance.

Answer»

Here, j = 0.85; x̄ = M₀ + 3.4; s² =?

Now, j = \(\frac{\bar x−M_0}{s}\)

∴ 0.85 = \(\frac{M_o+3.4−M_o}{s}\)

∴ 0.85s = 3.4

∴ s = \(\frac{3.4}{0.85}\)

∴ s = 4

Now, variance = s²

∴ variance = (4)² = 16