A sample of 5 observations has mean 32 and median 33 Later it is found that an observation was recor...........

Mathematics (NDA) Statistics

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?

The mean and median remain the same

The median remains the same but the mean will decrease

The mean and median both will decrease

The mean remains the same but median will decrease

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Explanation:

Given that 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 .The median remains the same but the mean will decrease .
Hence option2 is correct.