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Question: Answered & Verified by Expert
If the standard deviation of $0,1,2,3$, wes 9 is $K$, then the standard deviation of $10,11,12,13 \ldots . .19$ is
MathematicsStatisticsJEE Main
Options:
  • A $K$
  • B $K+10$
  • C $K+\sqrt{10}$
  • D $10 K$
Solution:
2174 Upvotes Verified Answer
The correct answer is: $K$
Since each data increases by 10 ,
There will be no change in standard deviation because $\left(\mathrm{x}_{\mathrm{i}}-\mathrm{x}\right.$) remains same.
$\therefore$ The standard deviation of $10,11,12,13 \ldots\ldots$ 19 will be will be $K$.

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