Answer :
To calculate the mean of a data set, we need to sum up all the values and then divide by the total number of values.
Sum of the data set = 33 + 42 + 49 + 49 + 53 + 55 + 55 + 61 + 63 + 67 + 68 + 68 + 69 + 69 + 72 + 73 + 74 + 78 + 80 + 83 + 88 + 88 + 88 + 90 + 92 + 94 + 94 + 94 + 94 + 96 + 100
Count of values = 31
Mean = (Sum of the data set) / (Count of values)
Now we can substitute the values and calculate:
Mean = (33 + 42 + 49 + 49 + 53 + 55 + 55 + 61 + 63 + 67 + 68 + 68 + 69 + 69 + 72 + 73 + 74 + 78 + 80 + 83 + 88 + 88 + 88 + 90 + 92 + 94 + 94 + 94 + 94 + 96 + 100) / 31
After evaluating this expression, we find that the mean of the given data set is approximately 71.29 (rounded to two decimal places).
Therefore, the mean of the data set is 71.29.
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