Mean of the data x1 , x2, x3, x4 , x5 is 15. If each observation is multiplied 3 then the mean becomes
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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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 \(=\frac{3x_1+3x_2+3x_3+3x_4+3x_5}5\)
\(=\frac35(x_1+x_2+x_3+x_4+x_5)\)
\(=\frac35\times75=45\)
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