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JEE PYQ: Statistics Question 34

Question 34 - 2019 (11 Jan Shift 1)

The outcome of each of 30 items was observed; 10 items gave an outcome $\frac{1}{2} - d$ each, 10 items gave outcome $\frac{1}{2}$ each and the remaining 10 items gave outcome $\frac{1}{2} + d$ each. If the variance of this outcome data is $\frac{4}{3}$ then $|d|$ equals:

(1) $\frac{2}{3}$ (2) 2 (3) $\frac{\sqrt{5}}{2}$ (4) $\sqrt{2}$

Show Answer

Answer: (4) $\sqrt{2}$

Solution

$d^2 = 2$, $|d| = \sqrt{2}$.


Learning Progress: Step 34 of 36 in this series