A frequency distribution given the following results : (i) CV = 5, (ii

1.	A frequency distribution given the following results : (i) CV = 5, (ii) SD = 2 (iii) Karl Pearson's coefficient of skewness = 0.5. Find the mean and the made of the distribution.
Answer» We know that : C.V = \( \frac{\sigma}{\bar{x}} × 100\) 0.5 = \(\frac{50-z}{2}\) ∴ x̄ = \(\frac{2}{5}\)× 100 = 40 K.P.C.Sk = \(\frac{\bar x-z}{σ}\) 0.5 × 2 = 40 - z 5 = \(\frac{2}{x}\) × 100 ∴ z = 40 - 1 = 39.

A frequency distribution given the following results : (i) CV = 5, (ii) SD = 2 (iii) Karl Pearson's coefficient of skewness = 0.5. Find the mean and the made of the distribution.

Answer»

We know that : C.V = \( \frac{\sigma}{\bar{x}} × 100\)

0.5 = \(\frac{50-z}{2}\)

∴ x̄ = \(\frac{2}{5}\)× 100 = 40

K.P.C.Sk = \(\frac{\bar x-z}{σ}\)

0.5 × 2 = 40 - z

5 = \(\frac{2}{x}\) × 100

∴ z = 40 - 1 = 39.