1. **State the problem:** We are given the data set: 126, 128, 140, 124, 140, 129. We need to find: (a) The mean (b) The median (c) The mode (if any) 2. **Calculate the mean:** The mean is the sum of all data points divided by the number of points. $$\text{Mean} = \frac{126 + 128 + 140 + 124 + 140 + 129}{6}$$ Calculate the sum: $$126 + 128 + 140 + 124 + 140 + 129 = 787$$ So, $$\text{Mean} = \frac{787}{6}$$ Show cancellation step: $$\frac{\cancel{787}}{\cancel{6}} = 131.1666... \approx 131.2$$ Rounded to the nearest tenth, the mean is **131.2**. 3. **Calculate the median:** The median is the middle value when the data is ordered. Order the data: $$124, 126, 128, 129, 140, 140$$ Since there are 6 data points (even number), the median is the average of the 3rd and 4th values. $$\text{Median} = \frac{128 + 129}{2} = \frac{257}{2}$$ Show cancellation step: $$\frac{\cancel{257}}{\cancel{2}} = 128.5$$ So, the median is **128.5**. 4. **Calculate the mode:** The mode is the value(s) that appear most frequently. From the data, 140 appears twice, all others appear once. Therefore, the mode is **140**. **Final answers:** - Mean = 131.2 - Median = 128.5 - Mode = 140