JEE Main 2024 Mathematics question

MathematicsStatisticsJEE Main 2024

If the mean and variance of five observations are 24/5 and 194/25 respectively and the mean of the first four observations is 7/2, then the variance of the first four observation is equal to

Answer: (D)

Solution

The sum of the five observations is 24, and the first four sum to 14, so the fifth is 10. Σx² = 5(194/25 + 576/25) =

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Question ID VK-016818