To calculate the mean of the data set 14, 15, 17, 18, 20, 24, and 28, first sum the values: 14 + 15 + 17 + 18 + 20 + 24 + 28 = 116. Then, divide the total by the number of values (7): 116 ÷ 7 = 16.57. Thus, the mean of the data set is approximately 16.57.
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