If coefficient of variation is 25 %, x̄ = 32 and M0 = 32.2 for a set

1.	If coefficient of variation is 25 %, x̄ = 32 and M0 = 32.2 for a set of data, find its coefficient of skewness.
Answer» Here, coefficient x̄ = 32, M₀ = 32.2 Now, coefficient of variation = sx¯ × 100 25 = \(\frac{s}{32}\) × 100 \(\frac{25×32}{100}\) = s ∴ s = 8 Coefficient of skewness: j = \(\frac{\bar x−M_0}{s}\) = \(\frac{32−32.2}{8}\) = \(\frac{−0.2}{8}\) = -0.025

If coefficient of variation is 25 %, x̄ = 32 and M0 = 32.2 for a set of data, find its coefficient of skewness.

Answer»

Here, coefficient

x̄ = 32, M₀ = 32.2

Now, coefficient of variation = sx¯ × 100

25 = \(\frac{s}{32}\) × 100

\(\frac{25×32}{100}\) = s

∴ s = 8

Coefficient of skewness:

j = \(\frac{\bar x−M_0}{s}\)

= \(\frac{32−32.2}{8}\)

= \(\frac{−0.2}{8}\)

= -0.025