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A statistician, who is not good at math, wants to represent the relative frequencies of the10 different categories of a categorical variable in a pie chart. He calculated the relative frequency of each category. In order to make a pie chart representing categories, he calculated the angle of slices for the first 9 categories using the wrong formula π∗ri radians, where ri represents the relative frequency of the ith category. Since he knows that the sum of angles of slices must be 2π radians, he calculated the angle of the tenth slice as 2π−π∗∑9i=1ri.If the total frequency is equal to 500 and the angle of the tenth category using the above formula is 1.02π radians in the pie chart, then what is the actual frequency of the tenth category? |
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