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Find the median for each list of numbers.

$0.2,1.4,0.6,0.2,2.5,1.9,0.8,1.5$

1.1

Multivariable Optimization

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this question gives you a list of a list of numbers and asks you to find the median. The lists that it gives is 0.2 1.40 point six 0.2 again 2.5, 1.9, 0.8 and 1.5 Now, clearly, this is not in order. And to find a median, we need to have some sort of ordered list that is going from lowest to highest or highest to lowest. So we're gonna find our median by hand. We need to put this in order somehow. So the way I'm going to do that is lowest to highest, and I'll sort this. It's going to get your point to as your point too. 0.60 point eight. Um, you have 1.41 point five 1.9, and then finally, 2.5. Now, when we have an order list like this, if we have an order to list of length end, we know the median is at point and plus 1/2 now here and is eight. So our meeting is going to be a 80.8 plus 1/2, but a plus 1/2 is not a whole number. It's 4.5. How do we have a median between entries? Number four and five is gonna be right here. Well, when we have this and this will happen whenever you have a data set of even numbers, what you have to do is average the data point right below and the data point right above. So our median is going to be the average of 0.8 and 1.4, which we confined is 1.1. So that's your median one point.