InterviewSolution
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InterviewSolution
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Mean of the data x1 , x2, x3, x4 , x5 is 15. If each observation is multiplied 3 then the mean becomes A) 5 B) 45 C) 18 D) 12 |
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Answer» Correct option is (B) 45 Given that mean of the data \(x_1, x_2, x_3 , x_4 , x_5\) is 15. \(\therefore\) \(\frac{x_1+x_2+x_3+x_4+x_5}5=15\) \(\Rightarrow\) \(x_1+x_2+x_3+x_4+x_5\) \(=15\times5=75\) _________(1) If each observation is multiplied by 3 then Mean \(=\frac{3x_1+3x_2+3x_3+3x_4+3x_5}5\) \(=\frac35(x_1+x_2+x_3+x_4+x_5)\) \(=\frac35\times75=45\) Correct option is B) 45 |
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