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To find the mean of a set of numbers, you add up all the numbers and then divide by the total count of numbers. In this case, the sum of 14, 27, 30, 35, and 38 is 144. Dividing 144 by the total count of numbers, which is 5, gives you a mean of 28.8. Therefore, the mean of the data set 14, 27, 30, 35, and 38 is 28.8.
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