ShmoopTube

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And here's your shmoop du jour brought to you by reality television...[television showing static]

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We're still waiting for them to combine the bachelor with survivor, where a

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handful of people must survive on an island having only been given a rose [people by a campfire on an island]

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each..yeah something like that.. Okay well here we go reality television for better

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or worse mostly worse has taken over the airwaves in the 21st century just for

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fun ish we would like to construct a box plot that displays the number of minutes

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that adults aged 30 to 45 spent watching reality television programming in one

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week when we said funny ish right? The minimum is zero the first quartile, q1 is

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62 the median is 125, the q3 is 133 and the maximum is 360 this five number summary

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indicates a distribution that is possibly what? Other than boring...

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All right here the potential answers...[mumbling]

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All right well let's start by visualizing this sucker here is a number line that [A number line from zero to 360]

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goes from zero or minimum to 360 our maximum; now let's plug in what else we [person plugging in a USB stick]

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know let's think about what we would expect these other numbers to be if

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there was no skew at all which incidentally makes it very tricky to [man hurts himself eating a kebab]

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make chicken kebab but okay we're going from 0 to 360 so we would expect the

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middle value to be around half that or 180 right instead we've got 125 which

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all things being equal should probably be a bit more to the left and then

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there's the third quartile at 133 well that's barely more than the median [numbers on a timeline and beyonce appears]

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meaning that even the value of q3 is one we'd expect to be a little further to

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the left well rather than having all our numbers spread out nicely and evenly

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they're all bunched up on one side almost as if our last piece of data [numbers bunched up close together in a room]

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smelled bad, maybe it's time to take a hint. 360 is definitely an outlier when

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compared to our other data points so C can't possibly be right since we aren't

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given enough information to determine the mean we can nix D and we're told the [Girl reading a piece of paper on the wall]

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values of both q2 the median q3 the third quartile which are close

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in value but not quite the same, so E's out as well really all we needed to do

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was notice that most of our data points are going to be on the left with a long

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tail of distribution over here which means that our data is skewing right and

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that's answer B; good thing the problem gave us all that information otherwise [Boy studying at a desk]

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we might have been skewed...Sorry kabob humor [Man strikes the drums]

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