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Okay t s i'ma shmoop er's Another boxy game for

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you Look at this thing right here on the number

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line which set of data points is represented by the

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box and whisker plot below Okay well we're working backwards

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here People check the rear view mirror and then shift

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into reverse If we want to figure out which data

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set produced the given box plot we need to understand

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what a box plot shows us first that dot all

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by itself While that's an outlier in the data set

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it should be one single value well away from the

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other values on the box The line in the middle

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is the median The left end of the boxes the

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twenty fifth percentile or first quarter tile or simply kyu

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won the right into the box is the seventh percentile

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or the third quarter mile or q three Well that

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little mark on the end there The left whisker is

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normally the lowest point in the data set But due

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to the outlier it'll be the second lowest value in

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the data set Well the market the end of the

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right whisker There is the largest data point So after

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grabbing the magnifying glass we can see the outlier Is

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it to the second lowest data point is twelve ish

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and the first court tiles about thirteen Well the median

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looks sixteen ish and well Let's see q three seems

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to be hanging out around eighteen ish and the max

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value is probably about what is that twenty one Well

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we've got to data sets that have an outlier too

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Second lowest point of twelve and a maximum value of

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twenty one looks like we need to check the median

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and other court tiles of those two sets to make

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a choice to get our answer here So let's think

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about this Got all these numbers here that they have

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a median of sixteen Kyu won is thirteen Q three

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is eighteen Well that fits the bill exactly So that's

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it that's the set of data We want its answer

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b and well we're boxing whiskers smoked on this one

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