Adam tried to compute the average of his 7 test scores. He mistakenly divided the correct sum of all of his test scores by 6, which yielded 84. What is Adam’s correct average test score?
Answer (2)
Adam's correct average test score is 72, which is found by first multiplying the incorrect average (84) by 6 to get the sum of his scores (504) and then dividing that sum by the actual number of tests (7).
Adam mistakenly divided the sum of his 7 test scores by 6 instead of 7. If this incorrect calculation resulted in an average of 84, then we can find the total score by multiplying the incorrect average by 6, which gives us 84 * 6 = 504. To find Adam's correct average test score, we need to divide this total by the number of tests, which is 7. Therefore, the correct average test score is 504 ÷ 7 = 72.
Adam's correct average test score is 72. This was calculated by first determining the total of his scores based on his mistaken average of 84 divided by 6, giving a total of 504. Dividing this total by the actual number of tests, 7, gives the correct average of 72.
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