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Mean and variance of six observations are 8 and 16 respectively. If each observation is multiplied by 3 , then new variance of the resulting observations is
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Verified Answer
The correct answer is:
144
When each item of a data is multiplied by $\lambda$, variance is multiplied by $\lambda^2$.
$\begin{aligned}
\therefore \quad \text { New variance } & =3^2 \times 16 \\
& =9 \times 16 \\
& =144
\end{aligned}$
$\begin{aligned}
\therefore \quad \text { New variance } & =3^2 \times 16 \\
& =9 \times 16 \\
& =144
\end{aligned}$
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