Question

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?

Answer 1

Score on the test = 80%

Average of the first two = 81%

Geometric Mean = 80.38%


She should chose the average of the first two tests.

Answer 2

Larissa scored an 80 on the third test.
Her average score of the first two tests is (91+71)/2 = 81.
The geometric mean of the first two tests is sqrt(91*71) = sqrt(6461) = 80.38...

Since 81 > 80.38 > 80, Larissa should chose to take the average of her first two tests as her third test score