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# Range and mid-range

## Video transcript

find the range and the mid-range of the following sets of numbers so what the range tells us is essentially how spread apart these numbers are the way that you calculate is you just take the difference between the largest of these numbers and the smallest of these numbers and so if we look at the largest of these numbers I'll circle it in magenta it looks like it is ninety four ninety four is larger than every other number here so that's the largest of the numbers and from that we want to subtract the smallest of the numbers and the smallest of the numbers in our set right over here is 65 so you want to subtract 65 from 94 and this is equal to let's see if this was 95 minus 65 would be 30 94 is one less than that so it is 29 so the larger this number is that means the more spread out the larger the difference between the largest and the smallest number the smaller this is the that means that the tighter the range just to use the word itself of the numbers actually are so that's the range the mid range is one way of thinking to some degree of kind of central tendency so mid range mid range and what you do with the mid range is you take the average of the largest number and the smallest number so here we took the difference that's the range the mid range would be the average of these two numbers so it would be 94 plus 65 I'm going to talk about our average I'm talking about the arithmetic mean over two so this is going to be what 90 plus 60 is 150 150 plus four plus five is 159 150 nine divided by two is equal to 150 divided by two is 75 9 divided by two is four and a half so this would be 79 79 point five so it's one kind of way of thinking about the middle of these numbers another way is obviously their arithmetic Commun where you actually take the arithmetic mean of everything here obviously you could also look at things like the median in the mode so range and mid range