Question

The mean and standard deviations of two brands of light bulbs are given below:

Brand I Brand II

Mean 800 hours 770 hours

Standard deviation 100 hours 60 hours

Calculate a measure of relative dispersion for the two brands and interpret the result.​

Answer 1

Given  : The mean and standard deviations of two brands of light bulbs

To find : a measure of relative dispersion for the two brands

Solution:

Coefficient of Variation  is measure of relative dispersion  

Coefficient of Variation =  ( Standard Deviation / Mean) * 100  %

Brand 1  

Mean = 800

Standard Deviation  = 100  

Coefficient of Variation =  (100/800) * 100  = 12.5 %

Brand 2  

Mean = 770

Standard Deviation  =60  

Coefficient of Variation =  (60/770) * 100  = 7.8 %

Brand 2 has less relative Dispersion than Brand 1

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