InterviewSolution
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InterviewSolution
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Cosider the number 1,2,3,4,5,6,7,8,9 and 10.If 1 is added to each number the variance of the number so obtained isA. 6.5B. 2.87C. 3.87D. 8.25 |
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Answer» Correct Answer - D Given number are 1,2,3,4,5,6,7,8,9, 10 and 11 `therefore " " Sigmax_(i)=2+3+4+……+11` `=10/2[2xx2+9xx1]=5[4+9]=65` `Sigma x_(i)^(2)=2^(2)+3^(2)+4^(2)+5^(2)+….+11^(2)` `=(1^(2)+2^(2)+3^(3)+….+11^(2))-(1^(2)` `=(11xx12xx23-6)/(6)`=505 `therefore s^(2)=(Sigma_(i)^(2))/n-((Sigmax_(i))/n)^(2)=505/10-((65)/10)^(2)` ` =505-(65/10)^2` ` 505-(6.5)^2` `50.5-42.25` =8.25 |
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