AP EAMCET · Maths · Statistics
If the variance of \(6,7,8,9,10,11\) is \(\sigma^2\), then the variance of \(12,14,16,18,20,22\) is
- A \(2 \sigma^2\)
- B \(4 \sigma^2\)
- C \(100+2 \sigma^2\)
- D \(100+4 \sigma^2\)
Answer & Solution
Correct Answer
(B) \(4 \sigma^2\)
Step-by-step Solution
Detailed explanation
Its a fundamental concept if each data is doubled then variance is 4 times. So, new variance \(=(2)^2 \sigma^2=4 \sigma^2\)
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