1. The problem is to find the mean of the data set: 80, 30, 72, 80, 62. 2. To find the mean, sum all the values: $$80 + 30 + 72 + 80 + 62 = 324$$ 3. Count the number of values, which is 5. 4. Divide the sum by the number of values to find the mean: $$\frac{324}{5} = 64.8$$ 5. Therefore, the mean of the data set is 64.8.