1. **State the problem:** We are given a set of data points in grams: 1000, 1005, 989, 1003, 899, 1007, 1001, 1000, 900, 992. We need to find the mean (average) of these values. 2. **Formula for the mean:** The mean of a set of numbers is given by $$\text{Mean} = \frac{\text{Sum of all data points}}{\text{Number of data points}}$$ 3. **Calculate the sum:** Add all the data points: $$1000 + 1005 + 989 + 1003 + 899 + 1007 + 1001 + 1000 + 900 + 992 = 9796$$ 4. **Count the number of data points:** There are 10 data points. 5. **Calculate the mean:** $$\text{Mean} = \frac{9796}{10} = 979.6$$ 6. **Interpretation:** The mean weight of the data set is 979.6 grams.