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If the sum of ten values …

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If the sum of ten values is 100 and the sum of their square is 1090 then what will be the co efficient of variation

 

  • 1 answers

Naveen Sharma 9 years, 1 month ago

Ans. \(\sum X = 100\)

\(N = 10\)

\(\overline X = {\sum X\over N} = {100\over 10} = 10\)

\(\sum X^2 = 1090\)

\(\sigma = {\sqrt{ {\sum X^2\over N } - ({\overline X})^2}}\)

\(\sigma = \sqrt { {1090\over 10} - (10)^2}\)

\(\sigma = \sqrt {109-100} = \sqrt 9 =3\)

\(CV = {\sigma \over \overline X} \times 100 = {3\over 10}\times 100 = 30\)

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