JEE Main 2012 Mathematics question

Mathematics Statistics JEE Main 2012

Let be n observations, and let be their arithematic mean and be their variance. Statement 1: Variance of is . Statement 2: Arithmetic mean of is .

(1)Statement 1 is false, statement 2 is true
(2)Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1
(3)Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1
(4)Statement 1 is true, statement 2 is falseCorrect

Answer: (4)

Solution

Multiplying every observation by 2 multiplies the mean by 2 (so the mean is , not

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Question ID VK-103788