1. **State the problem:** Find the median and mean of the data set: 35, 9, 17, 7, 45, 3, 24. 2. **Find the median:** - Arrange the data in ascending order: 3, 7, 9, 17, 24, 35, 45. - Since there are 7 numbers (odd count), the median is the middle number. - The middle number is the 4th value: $17$. 3. **Find the mean:** - Use the formula for mean: $$\text{Mean} = \frac{\text{Sum of all data points}}{\text{Number of data points}}$$ - Calculate the sum: $3 + 7 + 9 + 17 + 24 + 35 + 45 = 140$. - Number of data points: $7$. - Calculate the mean: $$\text{Mean} = \frac{140}{7}$$ - Simplify the fraction: $$\text{Mean} = \cancel{\frac{140}{7}}^{20}$$ 4. **Final answers:** - Median = $17$ - Mean = $20$