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

Learn more:

if x and y are related by y =2x+5 and the sd and AM of x is known to ...

https://brainly.in/question/9556985

If the mean and coefficient of variation of data are 4 and 87.5 ...

https://brainly.in/question/18083204

Answer 2

Brand 2 has lower relative dispersion

Given:

                   Mean                       Standard deviations

Brand 1       800 hours                    100 hours

Brand 2      770 hours                      60 hours

Find:

Measure of relative dispersion

Computation:

Coefficient of Variation  is used to find measure of relative dispersion  

Coefficient of Variation =  (SD / Mean)100  

Brand 1 Coefficient of Variation =  (100 / 800)100  

Brand 1 Coefficient of Variation = 12.5%

Brand 2 Coefficient of Variation =  (60 / 770)100  

Brand 2 Coefficient of Variation = 7.8%

Learn more:

https://brainly.in/question/9556985