1. **Stating the problem:** We are given a set of ages and need to find the mean, mode, and range of the data. 2. **Data given:** Ages (years): 21, 23, 23, 23, 23, 24, 24, 25, 25, 26, 26, 26, 26, 27, 27, 27, 28, 29 3. **Mean formula:** The mean is the sum of all data points divided by the number of data points. $$\text{Mean} = \frac{\sum \text{data points}}{\text{number of data points}}$$ 4. **Calculate the sum:** $$21 + 23 + 23 + 23 + 23 + 24 + 24 + 25 + 25 + 26 + 26 + 26 + 26 + 27 + 27 + 27 + 28 + 29 = 453$$ 5. **Count the number of data points:** There are 18 ages. 6. **Calculate the mean:** $$\text{Mean} = \frac{453}{18} = 25.1667$$ 7. **Mode definition:** The mode is the value that appears most frequently in the data. 8. **Count frequencies:** - 21 appears 1 time - 23 appears 4 times - 24 appears 2 times - 25 appears 2 times - 26 appears 4 times - 27 appears 3 times - 28 appears 1 time - 29 appears 1 time 9. **Identify the mode:** The values 23 and 26 both appear 4 times, so the data is bimodal with modes 23 and 26. 10. **Range formula:** The range is the difference between the maximum and minimum values. $$\text{Range} = \text{max} - \text{min}$$ 11. **Calculate the range:** $$29 - 21 = 8$$ **Final answers:** - Mean = 25.17 (rounded to two decimals) - Mode = 23 and 26 - Range = 8