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The average of 5 test scores is 82. If the highest score is removed, the average

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Question: The average of 5 test scores is 82. If the highest score is removed, the average becomes 80. What was the highest score?

Options:

  1. 84
  2. 85
  3. 86
  4. 87

Correct Answer: 85

Solution: 

Total score = 5 * 82 = 410. Total score without highest = 4 * 80 = 320. Highest score = 410 - 320 = 90.

The average of 5 test scores is 82. If the highest score is removed, the average

Practice Questions

Q1
The average of 5 test scores is 82. If the highest score is removed, the average becomes 80. What was the highest score?
  1. 84
  2. 85
  3. 86
  4. 87

Questions & Step-by-Step Solutions

The average of 5 test scores is 82. If the highest score is removed, the average becomes 80. What was the highest score?
  • Average Calculation – Understanding how to calculate the average of a set of numbers and how removing an element affects the average.
  • Algebraic Manipulation – Using basic algebra to solve for an unknown variable by setting up equations based on given averages.
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