JEE Main 2024 Mathematics question
The mean and standard deviation of 15 observations were found to be 12 and 3 respectively. On rechecking it was found that an observation was read as 10 in place of 12. If μ and σ² denote the mean and variance of the correct observations respectively, then 15(μ + μ² + σ²) is equal to .
Answer: 2521
Solution
The original sum is 15 × 12 = 180, so the correct sum is 180 − 10 + 12 = 182 and μ = 182/15. Original Σx² = 15(9 + 144) =
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