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JEE Main 2014 Mathematics question

MathematicsStatisticsJEE Main 2014

Let , M and be respectively the mean, mode and variance of n observations and , i = 1, 2, …, n, where a is any number. Statement I: Variance of is . Statement II: Mean and mode of are and , respectively.

Answer: (1)

Solution

Multiplying every observation by −1 multiplies the variance by , and adding the constant leaves it unchanged, so the variance of the is

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Question ID VK-104687