JEE Main 2024 Mathematics question

MathematicsStatisticsJEE Main 2024

The frequency distribution of the age of students in a class of 40 students is given below.

| Age | 15 | 16 | 17 | 18 | 19 | 20 | |---|---|---|---|---|---|---| | No. of Student | 5 | 8 | 5 | 12 | x | y |

If the mean deviation about the median is 1.25, then 4x + 5y is equal to

Answer: (B)

Solution

5 + 8 + 5 + 12 + x + y = 40 gives x + y = 10. The median is 18. The mean deviation about the median = Σfᵢ|xᵢ − 18|/40 = (15

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Question ID VK-016550