Question

Lisa appeared in a math tests covering various topics.

She averaged 94 in three tests on algebra, 92 in four tests on geometry, and 90 in one test on mensuration.

If all the tests had the same number of questions, then find her overall average score.

• A. 92
• B. 91
• C. 91.5
• D. 92.5

Answer 1

The correct option is D 92.5

Algebra:
Lisa scored an average of 94 in three tests.
∴ Total marks scored in algebra = Average score × Number of tests
= 94 × 3
= 282

Geometry:
She scored an average of 92 in four tests.
∴ Total marks scored in geometry = Average score × Number of tests
= 92 × 4
= 368

Mensuration:
She got an average of 90 in one test.
∴ Total marks scored in mensuration = Average score × Number of tests
= 90 × 1
= 90

∴ Total marks scored in maths
= 282 + 368 + 90
= 740

Total number of tests = 3 + 4 + 1
= 8

Overall maths average = $\frac{Totalmarksscoredinalltopics}{Totalnumberoftests}$

$=\frac{740}{8}$

= 92.5

Thus, Lisa's overall maths average is 92.5.