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Sarah took eight math tests over the course of a semester. The table below shows her scores for each test:
| Test Number | Score (out of 100) |
|---|---|
| 1 | 85 |
| 2 | 92 |
| 3 | 78 |
| 4 | 88 |
| 5 | 95 |
| 6 | 83 |
| 7 | 90 |
| 8 | 89 |
What is Sarah’s average (mean) test score for the semester?
To calculate the average (mean) test score, we need to:
Sum of all scores: 85 + 92 + 78 + 88 + 95 + 83 + 90 + 89 = 700
Number of tests: 8
Average score = 700 ÷ 8 = 87.5
Therefore, Sarah’s average test score for the semester is 87.5 out of 100.
Alternative method: We could also think of this as a fair share problem. If we wanted to distribute the total points (700) equally among the 8 tests, we would end up with 87.5 points per test.
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