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The coefficients of variations for the two distributions are 60 and 70 and its standard deviations are 21 and 16 respectively. Determine its arithmetic mean.
The coefficients of variations for the two distributions are 60 and 70 and its standard deviations are 21 and 16 respectively. Determine its arithmetic mean.

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3 months ago Anand Kumar Pandey
2937 Points
```							Dear StudentGiven that,Coefficient of Variations (C.V of 1st distribution) = 60, σ1= 21Coefficient of Variations (C.V of 2nd distribution) = 70, σ2= 16Let μ1and μ2are the means of the 1st and the 2nd distribution.We know that the formula to find the arithmetic mean is given as:Coefficient of Variations(C.V) = (Standard Deviation/arithmetic Mean) x 100Thus, Arithmetic Mean = (Standard Deviation/C.V)x100Therefore, the arithmetic mean for the 1st deviation is given by:μ1= [σ1/ (c.v of 1st distribution)]x100μ1= (21/60)x100μ1= 0.35×100μ1= 35Similarly for μ2:μ2= [σ2/ (c.v of 2nd distribution)]x100μ2= (16/70)x100μ2= 0.2285×100μ2= 22.85Thanks
```
3 months ago
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