JEE Advanced 2025 Paper 1 Mathematics Q14

Mathematics

Problem

Consider the following frequency distribution: values 4, 5, 8, 9, 6, 12, 11 have frequencies 5, f₁, f₂, 2, 1, 1, 3, respectively. Suppose that the sum of the frequencies is 19 and the median of this frequency distribution is 6. For the given frequency distribution, let α denote the mean deviation about the mean, β denote the mean deviation about the median, and σ² denote the variance. Match each entry in List-I to the correct entry in List-II and choose the correct option. List-I: (P) 7f₁ + 9f₂; (Q) 19α; (R) 19β; (S) 19σ². List-II: (1) 146; (2) 47; (3) 48; (4) 145; (5) 55.

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