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JEE Main 2026 Mathematics question

MathematicsStatisticsJEE Main 2026

Suppose that the mean and median of the non-negative numbers 21, 8, 17, a, 51, 103, b, 13, 67, (a > b), are 40 and 21, respectively. If the mean deviation about the median is 26, then 2a is equal to:

Answer: (D)

Solution

a + b = 360 − 280 = 80. For the median to stay 21, b < 21 < a. The sum of deviations from 21 for the seven fixed values is

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Question ID VK-015269