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Welcome to our Math lesson on Percentage Distribution, this is the fifth lesson of our suite of math lessons covering the topic of Percentage Increase and Decrease, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.
Percentage distribution tells you the number per hundred that is represented by each group in a larger whole. In other words, percentage distribution occurs when we have a data set presented as percentages, where each percentage represents different groups of the whole (100%).
It is clear that the total of all individual percentages in these data sets must be 100%. However, due to rounding made when expressing a number as a percentage of another number, we may have slight deflections from 100%, which is acceptable.
Thus, if we have four data groups A, B, C and D out of the whole, we have for the percentage distribution:
A school has 1247 students where 134 of them (category A) receive scholarships due to their high results while 261 students (category B) receive scholarships because of low family income. The rest (category C) are full tuition students. Calculate the percentage distribution in this data set.
We can calculate the individual percentages of each category by applying the known formula
As there are three student categories A, B and C, we obtain
Now, we have to find the number of students N(C) included in the category C (full tuition) before calculating the percentage of the school students they represent. We have:
This category makes
Thus, adding the above percentages yields
as it should be.
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