1. **Stating the problem:** We have test scores for Charles, Isabella, and Naomi across four tests. We want to analyze these scores, for example, by calculating the average score for each person. 2. **Formula used:** The average (mean) score is calculated by summing all test scores and dividing by the number of tests: $$\text{Average} = \frac{\text{Sum of scores}}{\text{Number of tests}}$$ 3. **Calculations:** - Charles: Scores are 46, 43, 39, 57. $$\text{Sum} = 46 + 43 + 39 + 57 = 185$$ $$\text{Average} = \frac{185}{4} = 46.25$$ - Isabella: Scores are 69, 64, 62, 71. $$\text{Sum} = 69 + 64 + 62 + 71 = 266$$ $$\text{Average} = \frac{266}{4} = 66.5$$ - Naomi: Scores are 94, 80, 61, 72. $$\text{Sum} = 94 + 80 + 61 + 72 = 307$$ $$\text{Average} = \frac{307}{4} = 76.75$$ 4. **Explanation:** The average score gives a single value representing overall performance across all tests. Naomi has the highest average, followed by Isabella, then Charles. 5. **Summary:** - Charles' average score: 46.25 - Isabella's average score: 66.5 - Naomi's average score: 76.75 This helps compare their overall performance easily.