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# Find the range, interquartile range, and any outliers for each set of data.$$\{65,64,73,34,15,43,92\}$$

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##### Kristen K.

University of Michigan - Ann Arbor

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### Video Transcript

so looking for measures of variation. First, let's put our data in order. It's much easier to find the different pieces if our numbers are in order. So we have a 15 a 34 43 64 60 73 92. So I've taken your data, and I just put it, put those numbers in order numerically as far as what they want. We're looking for the range and so for the range, we're gonna take the top number and subtract the lowest number, so 90 to minus 15. Your range in this case is 77. Then we're gonna look for your like you are so for your i Q r. You need your quartile. So first, find the middle. So this is your median. Which means then that this number is your lower quartile and this number is your upper quartile. Excuse me to find your range. You're looking for the difference between those two. So 73 minus 34 gives me an I Q. R of 39. Now, if you're trying to determine if either of those are outliers again, we're gonna take their 39 and we're gonna multiply it by one point, which is going to give us a total of 58.5. And that's a pretty good size number. Um, so if you look at your data, 34 is 15 is not more than 58 away from 34. 92 is It's only a difference of, like, 20 in both cases, so you have no out liars. So what do you have here? You have a range on like you are, and there are no outlines.

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##### Kristen K.

University of Michigan - Ann Arbor