JEE MATHEMATICS MCQ: STATISTICS

1 Medium

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Application +4 | -1

Let sets

A

and

B

have 5 elements each. Let the mean of the elements in sets

A

and

B

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

View answer and explanation

Correct option: C

Option C (38) is correct because it is the sum of the combined mean (6) and combined variance (32) of the new set C.

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