The variance and mean of 15 observations are respectively 6 and 10 . If each observation is increase by 8…

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
  1. 14,10
  2. 14,18
  3. 6,18
  4. 6,10

Solution

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 $=6$

Asked in: MHT CET 2022 (06 Aug Shift 2)

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