Problem-Solving and Data AnalysisMediumMedian after increasing the largest values
Problem-Solving and Data Analysis practice question
A data set of 7 values has a median of 14. The two largest values are each increased by 10, and no other value changes. What is the median of the new data set?
Answer: 14
The median is the 4th value in order; increasing the two largest values leaves the order and the 4th value unchanged.
Common wrong answers
- If you answered 19
- 19 adds half of 10 to the median.
- If you answered 24
- 24 adds 10 to the median.
- If you answered 16.86
- 16.86 assumes the median rises like the mean, by 20/7.
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What is the difference between the mean and the median of this data set?
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