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Question: Answered & Verified by Expert
The variance of 20 observations is 5 . If each observation is multiplied by 3 , then what is the new variance of the resulting observations? $\quad$
MathematicsStatisticsNDANDA 2017 (Phase 1)
Options:
  • A 5
  • B 10
  • C 15
  • D 45
Solution:
2445 Upvotes Verified Answer
The correct answer is: 45
New variance $=\mathrm{k}^{2}$ (old variance) $=3^{2} \times 5$
$=9 \times 5=45$

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