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?
- AThe mean and median remain the same
- Correct answerBThe median remains the same but the mean will decrease
- CThe mean and median both will decrease
- DThe 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'.