ShmoopTube

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Thank you We sneak And here's your shmoop twos you're

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brought to you by collections of data it's cheaper than

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an obsession with the troll dolls anyway that come from

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all right for any collection of data the mean must

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equal the median if the distribution is which of the

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following right here potential answers last rites metric that's like

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our last physical doctor with all righty So a pretty

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general question here about plotting data where we need to

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know the definition of two terms mean and media will

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mean is the same as average while median is of

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course that thing you drive over when you realize you

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missed your left turn All right in this case it's

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probably referring to the middle value in a set In

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other words if we have the data set zero one

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two three nine then the meaner average would be three

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but our median would be too well Since we've already

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identified a situation where the meaning the median would not

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be equal we can go ahead and cross off option

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e Well what about d mean can never equal the

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median Well let's consider a situation in which we're plotting

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the number of times You and four of your friends

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have been born Hopefully you've all been born exactly once

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We're not counting that time Your buddy martin had an

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enlightening summer at church camp Okay so our data set

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would be one juan juan one one the mean is

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one but so is the media So d can't be

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right So we know the mean can equal the median

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sometimes Now to see whether our history graham would necessarily

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skew left or right Well suppose we're plotting the number

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of times three dogs have thrown up on the carpet

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slugger has thrown up only once rico just twice But

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bonzo seems to be making a habit of it having

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thrown up in astounding two hundred ninety seven times and

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lived to tell about it The meanest one hundred that's

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three hundred but they're divided by three and that gets

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you hundred see him take very clever Well the media

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is just too because in the middle so here's an

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example in the data skews left but the mean in

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median are not necessarily equal so but by option a

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we can easily imagine a scenario where the reverse is

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true and the data skews right with unequal mean and

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medium so we can cross off be using the same

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logic which leaves only option c The main in the

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median must be equal if the data is symmetric This

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makes sense because with symmetric data each value on the

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left will be a ce far away from the mean

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and median as its corresponding value on the right Like

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if we're plotting banana peels slipped on by five people

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and the data looks like this are mean is six

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and so is our media Well the number two is

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four units away from the media and so is ten

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well in the same way for an eight are both

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two units away from the data's middle Both sides match

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up or our symmetric well here's hoping the next time

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you come upon a banana peel you don't uh skew 00:03:00.61 --> [endTime] downward Wait

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