JEE Advanced 2026 Paper 2 Mathematics Q12

Mathematics

Problem

Consider a data consisting of 10 observations x₁, x₂, …, x₁₀, whose mean is 5 and variance is 7. If the mean and the variance of the first 8 observations x₁, x₂, …, x₈ are 4 and 3.5, respectively, and x₉ < x₁₀, then the value of 3x₉ + 2x₁₀ is ___________.

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