IGNOU MS 8 2026 - Coefficients of variation of two series are 75 percent and 90 percent,

Question

Coefficients of variation of two series are 75 percent and 90 percent, with standard deviations 15 and 18 respectively.

a) Obtain the mean of the two series.

b) Also comment which of the two is better represented by its mean.

27 Jan 2026

Answer :

Word Count : 306

To solve this problem, we will use the formula for the coefficient of variation (CV) and its relationship with mean and standard deviation. The coefficient of variation is a measure of relative variability and is defined as: [ CV = \frac{\text{Standard Deviation (σ)}}{\text{Mean (μ)}} \times 100 ] We are given the following data: * Series 1: (CV_1 = 75%), (\sigma_1 = 15) * Series 2: (CV_2 = 90%), (\sigma_2 = 18) We are required to find the mean of the two series. --- Step 1: Express the formula for

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