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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?

Options

  1. AThe mean and median remain the same
  2. BThe median remains the same but the mean will decrease
  3. CThe mean and median both will decrease
  4. DThe mean remains the same but median will decrease

Correct answer

B. The median remains the same but the mean will decrease

Step-by-step solution

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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