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In Mathematics / High School | 2014-05-13

A student has earned the following scores on four 100-point tests this marking period: 63, 72, 88, and 91. What score must the student earn on the fifth and final 100-point test of the marking period to earn an average test grade of 80 for the five tests?

Asked by PewPew

Answer (3)

In order to have average 80 score from 5 tests, student needs to have 400 points (80% 500=0.8 500=400) So far he has 63+72+88+91= 314 400-314=86
He needs to get 86 points from the last test. Since he is obviously getting better at tests, i think he'll manage :)

Answered by mackiemesser | 2024-06-10

The student is asking for the required score on the fifth test to achieve an average of 80 over all five tests. Since the tests are out of 100 points each, the total points needed for an 80 average over five tests is 5 times 80, which equals 400 points. The student has already earned a total of 63 + 72 + 88 + 91 = 314 points from the first four tests.
To find out what they need on the last test, subtract the total points they have from the 400 points required for the average. That means the student must score 400 - 314 = 86 on the fifth test to achieve an 80 average.

Answered by WilliamClarkGable | 2024-06-24

To achieve an average of 80 across five tests, the student must score 86 on the fifth test. This is calculated by determining the total points needed (400) and subtracting the total points earned from the first four tests (314). The required score is found by performing the calculation: 400 - 314 = 86.
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Answered by WilliamClarkGable | 2024-10-10