MHT CET · Maths · Statistics
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
- A 16
- B 48
- C 24
- D 144
Answer & Solution
Correct Answer
(D) 144
Step-by-step Solution
Detailed explanation
When each item of a data is multiplied by \(\lambda\), variance is multiplied by \(\lambda^2\).
\(\begin{aligned}
\therefore \text {New variance} & =3^2 \times 16 \\
& =9 \times 16 \\
& =144
\end{aligned}\)
\(\begin{aligned}
\therefore \text {New variance} & =3^2 \times 16 \\
& =9 \times 16 \\
& =144
\end{aligned}\)
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