Problem-Solving and Data AnalysisMediumWhat changes the range
Problem-Solving and Data Analysis practice question
The data set 3, 5, 7, 9 has a range of 6. Which of the following changes to the data set would INCREASE the range?
- A. Adding the value 12Correct
- B. Adding the value 6
- C. Adding the value 7
- D. Removing the value 5
Answer: A. Adding the value 12
The range is largest minus smallest. Adding 12 makes the largest value 12, so the range becomes 12 − 3 = 9.
Why the other answers are wrong
- B. Adding the value 6
- 6 lies between 3 and 9, so the largest and smallest stay the same.
- C. Adding the value 7
- 7 is already in the set; the range is unchanged.
- D. Removing the value 5
- Removing 5 leaves 3 and 9 as the extremes; the range stays 6.
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