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The mean of the data set comprising of 16 observations is 16. If one of the observation valued 16 is deleted and three new observations valued 3, 4 and 5 are added to the data, then the mean of the resultant data, is
- 16.8
- 16.0
- 15.8
- 14.0
Correct answer: 14.0
Solution
When the observation valued 16 is removed, the total sum of the original data decreases, and adding the new observations (3, 4, and 5) does not compensate enough to maintain the original mean. This results in a lower mean of 14.0 for the new data set.
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