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Question: Answered & Verified by Expert
A sample of 5 observations has mean 32 and median 33 . Later it is found that an observation was recorded incorrectly as 40 instead of 35 . If we correct the data, then which oneot the following is correct? $\quad$
MathematicsStatisticsNDANDA 2017 (Phase 1)
Options:
  • A The mean and median remain the samd
  • B The median remains the same but the mean will decrease
  • C The mean and median both will decrease
  • D The mean remains the same but median will decrease
Solution:
1915 Upvotes Verified Answer
The correct answer is: The median remains the same but the mean will decrease
Mean $=32$, Median $=33$
It was recorded as 40 instead of $35 .$ So, sum will decrease and so mean. Median remains same.

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