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Let sets \(A\) and \(B\) have 5 elements each. Let the mean of the elements in sets \(A\) and \(B\) be 5 and 8 respectiv…

Q1

Let sets \(A\) and \(B\) have 5 elements each. Let the mean of the elements in sets \(A\) and \(B\) be 5 and 8 respectively and the variance of the elements in sets \(A\) and \(B\) be 12 and 20 respectively. A new set \(C\) of 10 elements is formed by subtracting 3 from each element of \(A\) and adding 2 to each element of \(B\). Then the sum of the mean and variance of the elements of \(C\) is

[JEE Main 2023, 11 Apr (Shift 1)]

a

32

b

38

c

40

d

36

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