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Palo Alto Networks Core Computer Science Core Computer Science Medium

In a recent exam, it was found that one of the questions was too hard.

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In a recent exam, it was found that one of the questions was too hard. It was decided to increase everyone's score by 15 points. What effect did it have on the range of scores?

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Answer: A. A) The range stayed the same

Range is defined as maximum minus minimum. Shifting all scores by +15 increases both maximum and minimum by 15, leaving their difference unchanged.

Step-by-step Derivation:
Step 1: Range = Max - Min.
Step 2: If every score x_i becomes x_i + 15, then New_Max = Max + 15, and New_Min = Min + 15.
Step 3: New_Range = (Max + 15) - (Min + 15) = Max - Min = Original Range. Hence the range stays the same.