1. **Problem Statement:** Calculate the Mean, Median, and Mode for the scores of the 10-Thomas section. 2. **Mean Formula:** The mean is the average of all data points and is calculated by $$\text{Mean} = \frac{\sum x_i}{n}$$ where $x_i$ are the scores and $n$ is the number of scores. 3. **Median Definition:** The median is the middle value when the data is ordered. If $n$ is even, it is the average of the two middle numbers. 4. **Mode Definition:** The mode is the value(s) that appear most frequently in the data set. 5. **Data for 10-Thomas:** $$32, 25, 25, 27, 23, 20, 27, 14, 26, 15, 31, 36, 32, 24, 18, 17, 14, 36, 32, 26$$ 6. **Step 1: Calculate Mean** Sum all scores: $$32 + 25 + 25 + 27 + 23 + 20 + 27 + 14 + 26 + 15 + 31 + 36 + 32 + 24 + 18 + 17 + 14 + 36 + 32 + 26 = 566$$ Number of scores $n=20$ Mean: $$\frac{566}{20} = 28.3$$ 7. **Step 2: Calculate Median** Sort the data: $$14, 14, 15, 17, 18, 20, 23, 24, 25, 25, 26, 26, 27, 27, 31, 32, 32, 32, 36, 36$$ Since $n=20$ (even), median is average of 10th and 11th values: $$\frac{25 + 26}{2} = 25.5$$ 8. **Step 3: Calculate Mode** Frequencies: - 14 appears 2 times - 25 appears 2 times - 26 appears 2 times - 27 appears 2 times - 32 appears 3 times - 36 appears 2 times Mode is the value with highest frequency: 32 **Final answers for 10-Thomas:** - Mean = 28.3 - Median = 25.5 - Mode = 32