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BITSAT 2023Paper 2
Exam
BITSAT
Year
2023
Paper
Paper 2
Subject
Mathematics
Chapter
Statistics

BITSAT 2023 · Paper 2 · Mathematics · Statistics

The standard deviation of 5 scores 1,2,3,4,5 is a . The value of '...

The standard deviation of 5 scores 1,2,3,4,51,2,3,4,5 is a\sqrt{a}. The value of ' aa ' is

Options

  1. A
    2
  2. B
    3
  3. C
    5
  4. D
    1

Correct answer

A.
2

Step-by-step solution

 Mean (xˉ)=1+2+3+4+55=3 S.D =σ=15(1+4+9+16+25)−9=11−9=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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