MHT CET 2024 Mathematics question
The variance of 20 observations is 5. If each observation is multiplied by 3 and then 8 is added to each number, then variance of resulting observations is
Answer: (B)
Solution
If every observation is replaced by , the mean becomes and each deviation becomes . Adding the constant 8 shifts all values equally and does not change the spread, while multiplying by 3 multiplies each squared deviation by . So
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