1. **State the problem:** We need to find the mode, median, mean, and range of the SAT scores: 1200, 1350, 800, 1000, 950, 1200, 1050, 850. 2. **Mode:** The mode is the number that appears most frequently. - Scores: 1200 (twice), others once. - So, mode = 1200. 3. **Median:** The median is the middle value when data is ordered. - Order the scores: 800, 850, 950, 1000, 1050, 1200, 1200, 1350. - Since there are 8 scores (even), median is average of 4th and 5th values. - Median = \frac{1000 + 1050}{2} = \frac{2050}{2} = 1025. 4. **Mean:** The mean is the sum of all scores divided by the number of scores. - Sum = 1200 + 1350 + 800 + 1000 + 950 + 1200 + 1050 + 850 = 8400. - Mean = \frac{8400}{8} = 1050. 5. **Range:** The range is the difference between the highest and lowest scores. - Range = 1350 - 800 = 550. 6. **Check options:** - Mode = 1200, Median = 1025, Mean = 1050, Range = 550 matches the third option. **Final answer:** Mode = 1200, Median = 1025, Mean = 1050, Range = 550.