JEE Main 2022 Mathematics question

The mean and variance of the data 4, 5, 6, 6, 7, 8, x, y where x < y are 6 and 9/4 respectively. The is equal to

Answer: (2)

Solution

The mean is (4 + 5 + 6 + 6 + 7 + 8 + x + y)/8 = 6, so x + y = 12. The variance is $ + + 0 + 0 + + + (x -

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Question ID VK-034521