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.
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 __________ ______ _____ ___ ___ _________.
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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 __________ ______ _____ ___ ___ _________.
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________ __________.
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