1. **State the problem:** We are given the data set $7, 10, 13, 14, 22$ and need to find (a) the mean, (b) the median, and (c) the mode(s). 2. **Calculate the mean:** The mean is the sum of all data points divided by the number of points. $$\text{Mean} = \frac{7 + 10 + 13 + 14 + 22}{5}$$ Calculate the sum: $$7 + 10 + 13 + 14 + 22 = 66$$ So, $$\text{Mean} = \frac{66}{5}$$ Show cancellation: $$\frac{\cancel{66}}{\cancel{5}} = 13.2$$ Therefore, the mean is $13.2$. 3. **Calculate the median:** The median is the middle value when the data is ordered. The data in order is already: $7, 10, 13, 14, 22$. Since there are 5 data points (an odd number), the median is the third value. Thus, the median is $13$. 4. **Calculate the mode:** The mode is the value(s) that appear most frequently. Each number appears exactly once, so there is no mode. **Final answers:** - Mean: $13.2$ - Median: $13$ - Mode: None