Problem-Solving and Data AnalysisEasy–MediumEffect of adding a constant on the range
Problem-Solving and Data Analysis practice question
Five test scores are 70, 75, 80, 85, and 90. If 5 points are added to every score, what happens to the range of the scores?
- A. It stays at 20.Correct
- B. It increases to 25.
- C. It increases to 45.
- D. It decreases to 15.
Answer: A. It stays at 20.
Adding the same amount to every score moves the largest and smallest together, so their difference is unchanged.
Why the other answers are wrong
- B. It increases to 25.
- The 5 is added to both ends, not just the top.
- C. It increases to 45.
- This adds 25, five times 5.
- D. It decreases to 15.
- The range does not shrink.
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