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At practice last week, Laura scored 2 out of 10 attempts on a basketball hoop....

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Accounting

At practice last week, Laura scored 2 out of 10 attempts on a basketball hoop. Sarah scored 3 out of 10 attempts. Let’s assume that all shots are taken from the same spot on the basketball court (the three-point line) with no defender. Sarah must be a better shooter.

This week, Laura made 53 out of 100 attempts to score a basketball hoop. Sarah scored 6 out of 10 attempts. Sarah is still better.

However, let’s add up the scores for BOTH weeks:

  • Laura scored 55 out of 110 shots, which is 50%
  • Sarah scored 9 out of 20 shots, which is only 45%

Does that mean Laura is better? Sarah was better last week and this week, but Laura is better over both weeks.

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