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Give an example to explain why, in general, it is not legitimate to average percentages.
Suppose that 30% of the female students and 40% of the male students in a college history class are from a major city. If there are 50 female
students and 30 male students in the class, then of the female students and of the male student are from a major city. Of the 80
students in the class in total,
% are from a major city. The percentage of students from a major city is not equal to the average of 30%
and 40%, which is 35%, because the number of female and male students in the class
