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The mean and variance of a set of 15 numbers are 12 and 14 respectively. The mean and variance of another set of 15 numb…

Q1

The mean and variance of a set of 15 numbers are 12 and 14 respectively. The mean and variance of another set of 15 numbers are 14 and \(\sigma^2\) respectively. If the variance of all the 30 numbers in the two sets is 13 , then \(\sigma^2\) is equal to

[JEE Main 2023, 6 Apr (Shift 1)]

a

9

b

12

c

11

d

10

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