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Question: Answered & Verified by Expert
The variance and mean of 15 observations are respectively 6 and 10 . If each observation is increase by 8 then the new variance and new mean of resulting observations are respectively
MathematicsStatisticsMHT CETMHT CET 2022 (06 Aug Shift 2)
Options:
  • A 14,10
  • B 14,18
  • C 6,18
  • D 6,10
Solution:
1713 Upvotes Verified Answer
The correct answer is: 6,18
The new mean will be increased by 8
i.e., new mean becomes $10+8=18$
But, new variance will remain unchanged
Hence, new variance $=6$

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