This cookie is set by GDPR Cookie Consent plugin. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". The cookie is used to store the user consent for the cookies in the category "Analytics". These cookies ensure basic functionalities and security features of the website, anonymously. Necessary cookies are absolutely essential for the website to function properly. Our Average Percentage Calculator is the easiest way to find the average in question for an arbitrary series of data samples of the same or different sizes. Note, that in case when all the samples are of the same size we get the formula for a simple arithmetic mean and we don’t actually need to know the sample size. $$\bar\) is the size of the sample number \(i\). So we come to the general formula for the average of percentages: A simple arithmetic mean of these two percentages would give us the wrong result: (40% + 80%) / 2 = 60%. The average percentage of red pencils in two boxes is obviously calculated as the ratio of the sum of red pencils to the total number of pencils in two boxes multiplied by one hundred. ![]() Suppose that the box of 100 pencils contains 40 percent of red pencils, and the second box of 60 pencils contains 80 percent of red pencils. Let’s take two boxes of pencils from the above example. Since the numbers represented by each percentage can be different – for example, 10 percent for a large sample versus 15 percent for a small sample – you need to consider the base numbers to find the average percentage. Unlike other numbers, averaging of percentages is rarely a matter of adding and then dividing them. ![]() If there are 60 pencils in another box, then 40 percent means that only 24 pencils are red. ![]() For example, if 40 percent of the pencils in a box of 100 pencils are red, that means 40 pencils are red. Percentage is a proportion or ratio that indicates the number of parts per 100.
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