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The mean of the data set is calculated by adding up all the numbers and then dividing by the total number of data points.
(23 + 36 + 19 + 25 + 29 + 26 + 26 + 32 + 31 + 31 + 30) / 11
= 304 / 11
= 27.64
Therefore, the mean of the data set is 27.64.