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# Find the median for each list of numbers.$28.4,9.1,3.4,27.6,59.8,32.1,47.6,29.8$

## 29.1

#### Topics

Multivariable Optimization

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### Video Transcript

this question gives you a list of data and asks you to find the median. The data that it gives is 28.4, 9.13 point four, 27.6, 59.8, 32.1, 47.6 and 29 points. Now, before we can find a median, we need to put this in order. That is, um, rearrange this. So it's going from lowest to highest rise lowest. I'm gonna do lowest to highest doing that. We'll get 3.49 point one. Um, next is 27.6, then 28.4 than ah, 29.8. Then we'll get 32.1, 47.6. And finally, the last 59.8. So now it's an order. And when we have an ordered list of length N, we know that the median is at entry and plus one over to that is endless. 1/2 will give us a number, and then we count that number into the, uh list, and we'll find her media. Here we have 88 points. So we'll have, uh, are meeting will be a 0.8 plus 1/2, which is 9/2, which is 4.5. How do we have a median at 0.4 point five week? Uncounted in love? 123 Here's 1230.4, and here's 0.5. How do we have a median right in the middle? Well, when this happens and this will happen whenever you have a even number of data points, what you have to do is you take the point right below it and the point right above it, and average those. So we're gonna averaged 28.4 in 29.5. Um, And when we do that shooting at 25. 20.8, when we do that divide by two, we get the average is 29.1 and that is your median, your median of the set