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To find the mean weight, you need to sum up all the weights and then divide by the total number of weights.
Sum of weights = 28 + 19 + 18 + 21 + 24 + 20 + 25 + 27 + 29 + 21 = 232
Total number of weights = 10
Mean weight = 232 / 10 = 23.2
Therefore, the mean weight of the numbers is 23.2.