JEE Main 2024 Mathematics question
If the mean and variance of the data 65, 68, 58, 44, 48, 45, 60, α, β, 60 where α > β are 56 and 66.2 respectively, then α² + β² is equal to .
Answer: 6344
Solution
The mean is 56, so the sum of the 10 observations is 560 and α + β = 560 − 448 = 112. The variance gives Σ(x − 56)² = 662: the eight known terms contribute 81 +
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