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Question: Answered & Verified by Expert
The standard deviation of 5 scores $1,2,3,4,5$ is $\sqrt{a}$. The value of ' $a$ ' is
MathematicsStatisticsJEE Main
Options:
  • A
    2
  • B
    3
  • C
    5
  • D
    1
Solution:
2401 Upvotes Verified Answer
The correct answer is:
2

$\begin{aligned} & \text { Mean }(\bar{x})=\frac{1+2+3+4+5}{5}=3 \\ & \text { S.D }=\sigma=\sqrt{\frac{1}{5}(1+4+9+16+25)-9}=\sqrt{11-9} \\ & =\sqrt{2}\end{aligned}$

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