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Exploring Data Videos 25 videos

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AP Statistics 1.4 Exploring Data 175 Views


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Description:

AP Statistics 1.4 Exploring Data. For any collection of data, the mean must equal the median if the distribution is which of the following?

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English Language

Transcript

00:00

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

00:05

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

00:09

an obsession with the troll dolls anyway that come from

00:13

all right for any collection of data the mean must

00:16

equal the median if the distribution is which of the

00:20

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

00:24

our last physical doctor with all righty So a pretty

00:29

general question here about plotting data where we need to

00:32

know the definition of two terms mean and media will

00:36

mean is the same as average while median is of

00:40

course that thing you drive over when you realize you

00:42

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

00:45

probably referring to the middle value in a set In

00:47

other words if we have the data set zero one

00:49

two three nine then the meaner average would be three

00:54

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

00:59

identified a situation where the meaning the median would not

01:02

be equal we can go ahead and cross off option

01:04

e Well what about d mean can never equal the

01:08

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

01:11

the number of times You and four of your friends

01:14

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

01:18

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

01:20

enlightening summer at church camp Okay so our data set

01:23

would be one juan juan one one the mean is

01:26

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

01:29

right So we know the mean can equal the median

01:33

sometimes Now to see whether our history graham would necessarily

01:36

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

01:40

of times three dogs have thrown up on the carpet

01:43

slugger has thrown up only once rico just twice But

01:46

bonzo seems to be making a habit of it having

01:49

thrown up in astounding two hundred ninety seven times and

01:52

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

01:55

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

02:01

you hundred see him take very clever Well the media

02:03

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

02:05

example in the data skews left but the mean in

02:07

median are not necessarily equal so but by option a

02:12

we can easily imagine a scenario where the reverse is

02:14

true and the data skews right with unequal mean and

02:18

medium so we can cross off be using the same

02:20

logic which leaves only option c The main in the

02:23

median must be equal if the data is symmetric This

02:27

makes sense because with symmetric data each value on the

02:31

left will be a ce far away from the mean

02:33

and median as its corresponding value on the right Like

02:37

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

02:39

and the data looks like this are mean is six

02:43

and so is our media Well the number two is

02:46

four units away from the media and so is ten

02:49

well in the same way for an eight are both

02:51

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

02:54

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

02:58

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

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