Final answer:
The mean of the data set {75, 65, 100, 80, 85, 75, 100} is 83.
Step-by-step explanation:
To find the mean of a data set, you add up all the values and then divide by the number of values.
In this case, the data set is {75, 65, 100, 80, 85, 75, 100}. So, the mean is (75 + 65 + 100 + 80 + 85 + 75 + 100) / 7 = 580 / 7 = 82.857. Rounded to the nearest whole number, the mean is 83.
Therefore, the correct answer is C) 83.