1. **State the problem:** We are given the data set: 59, 44, 45, 56, 52, 58, 56, 65, 50, 45. We need to calculate the mean, median, and mode. 2. **Mean:** The mean is the average of all numbers. The formula is $$\text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}}$$. 3. **Calculate the sum:** $$59 + 44 + 45 + 56 + 52 + 58 + 56 + 65 + 50 + 45 = 530$$. 4. **Number of values:** There are 10 numbers. 5. **Calculate mean:** $$\text{Mean} = \frac{530}{10} = 53$$. 6. **Median:** The median is the middle value when the data is ordered. If there is an even number of values, the median is the average of the two middle numbers. 7. **Order the data:** 44, 45, 45, 50, 52, 56, 56, 58, 59, 65. 8. **Find the middle two values:** The 5th and 6th values are 52 and 56. 9. **Calculate median:** $$\text{Median} = \frac{52 + 56}{2} = 54$$. 10. **Mode:** The mode is the number that appears most frequently. 11. **Count frequencies:** 45 appears twice, 56 appears twice, others appear once. 12. **Modes:** 45 and 56 (bimodal). **Final answers:** - Mean = 53 - Median = 54 - Mode = 45 and 56