If the average of 5 test scores is 75 and the highest score is removed, the aver

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Question: If the average of 5 test scores is 75 and the highest score is removed, the average becomes 70. What is the highest score?

Options:

Correct Answer: 90

Solution:

Total of 5 scores = 5 * 75 = 375. Total of 4 scores = 4 * 70 = 280. Highest score = 375 - 280 = 95.

If the average of 5 test scores is 75 and the highest score is removed, the average becomes 70. What is the highest score?

If the average of 5 test scores is 75 and the highest score is removed, the average becomes 70. What is the highest score?

Step 1: Calculate the total of the 5 test scores by multiplying the average score (75) by the number of scores (5). This gives us 5 * 75 = 375.
Step 2: Calculate the total of the 4 test scores after removing the highest score by multiplying the new average (70) by the number of remaining scores (4). This gives us 4 * 70 = 280.
Step 3: Find the highest score by subtracting the total of the 4 scores (280) from the total of the 5 scores (375). This gives us 375 - 280 = 95.

Average Calculation – Understanding how to calculate the average of a set of numbers and how removing a number affects the average.
Algebraic Manipulation – Using algebra to solve for an unknown variable based on given averages and totals.