TS EAMCET · Maths · Statistics
The variance of 50 observations is 7 . Suppose that each observation in this data is multiplied by 6 and then 5 is subtracted from it. Then the variance of that new data is
- A \(37\)
- B \(42\)
- C \(247\)
- D \(252\)
Answer & Solution
Correct Answer
(D) \(252\)
Step-by-step Solution
Detailed explanation
\(n=50\) \(\begin{aligned} & \sigma^2(x)=7 \\ & \because \sigma^2(a x+b)=a^2 \cdot \sigma^2(x) \\ & \sigma^2(6 x-5)=6^2 \cdot \sigma^2(x)=36 \times 7=252\end{aligned}\)
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