Q267 / 270 · NDA 2017 (Phase 1) · Mathematics

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 one of the following is correct?

  • A
    The mean and median remain the same
  • Correct answer
    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

Mean $=32$, Median $=33$ It was recorded as 40 instead of 35 . So, sum will decrease and so mean. Median remains same.

Hence, the correct answer is option: 'B'.

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