# Finding Averages

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Find the average of a series of numbers by adding all of the numbers together and dividing by the amount of numbers in the series. Use simple addition and division to find the average of a set of numbers with help from a math teacher in this free video math lesson.

Part of the Video Series: Math Problems & History
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## Video Transcript

So how do you find averages? Hi I'm Jimmy. I've been teaching college mathematics for nine years and we are here to do exactly that. Now after a few moments you will be able to find that this is a very straightforward idea and that it actually just involves a little bit of addition and some division. Now all you have to do is you have to be given numbers and then you have to figure out how many numbers there are actually in the set. So for example suppose you have the numbers 10, 7, 0, 1, and 3. Now take note that there are five numbers here but once you get passed that all you need to do to find the average is to add all five of these numbers together. Now 10 7 is 17, 17 0 is still 17, 17 1 is 18 and 18 3 is 21. Now that is the number that you are going to write in the division exercise. Now because there is five of these numbers you are going to take this total, 21 and divide by 5 and then it becomes a relatively straightforward division problem. Well 5 goes into 21 how many times. Well I'm sure by now you know that it is just 4. Just do the long division and you will be able to figure out the mean or the average very quickly. 4 X 5 is going to be 20 and if you do subtraction it is going to be 1 and because that is the remainder you can write the remainder as 4 and 1/5 being the remaining portion. So that means that the mean of all five of these numbers is just 4 and 1/5. So I'm Jimmy and that is the example of how you find averages.

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