## anonymous one year ago Students in Mrs. Hoyt's math class have taken three tests so far. For their third test, they can choose to use the score they received on the test, the average score of the first two tests, or the geometric mean of the first two tests as their official score. Larissa scored 91% on the first test, 71% on the second test, and 80% on the third test. Which scoring option should she choose?

1. mathstudent55

Let's say the first two test scores are x and y. Then the average score is:$$\dfrac{x + y}{2}$$ The geometric mean of the first two scores is: $$\sqrt{xy}$$ Use the scores 91 and 71 as x and y, and see which method gives you a higher value.

2. mathstudent55

Then compare the higher value with the actual third score result which is 80.