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  • Need explanation for: For a set of 100 observations, taking assumed mean as 4, the sum of the deviations is –11 cm, and the sum of the squares of these deviations is 275 cm2. Find the coefficient of variation

For a set of 100 observations, taking assumed mean as 4, the sum of the deviations is –11 cm, and the sum of the squares of these deviations is 275 cm2. Find the coefficient of variation

  • Option 1)

    40.13

  • Option 2)

    41.13

  • Option 3)

    42.13

  • Option 4)

    43.13

 

Answers (1)

best_answer

As we learned

Short cut Method for A.M -

In case of discreted frequency distribution let di be the deviation about A such that di = xi - A then

\dpi{100} \bar{x}= \frac{\sum f_{i} \left ( A+d_{i} \right )}{\sum f_{i}}

\therefore \bar{x}= A+\frac{\sum f_{i}d_{i}}{\sum f_{i}}

- wherein

Where A is any arbitary point.

 

 

 

\bar{x}=A+\frac{\sum fd}{n}=4-\frac{11}{100}=3.87

and s = \sqrt{\frac{\sum d^2}{n}-(\frac{\sum d}{n})^2}=\sqrt{\frac{257}{100}-\left ( \frac{-11}{100} \right )^2}=1.6

                        Coefficient of Variation = \sigma /x\times 100=\frac{1.6}{3.89}\times 100=41.13\% 


Option 1)

40.13

Option 2)

41.13

Option 3)

42.13

Option 4)

43.13

Posted by

Himanshu

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