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JEE PYQ: Statistics Question 14

Question 14 - 2020 (05 Sep Shift 1)

The mean and variance of 7 observations are 8 and 16, respectively. If five observations are 2, 4, 10, 12, 14, then the absolute difference of the remaining two observations is:

(1) 1 (2) 4 (3) 2 (4) 3

Show Answer

Answer: (3) 2

Solution

$x_1+x_2=14$, $x_1^2+x_2^2=100$, $x_1 x_2=48$. $(x_1-x_2)^2 = 4$. $|x_1-x_2| = 2$.


Learning Progress: Step 14 of 36 in this series