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AP Statistics 5.3 Exploring Data 173 Views


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AP Statistics 5.3 Exploring Data. What will their parallel box plots tell us about their scores?

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English Language

Transcript

00:00

Thank you We sneak and here's your shmoop you sure

00:05

brought to you by the back row talking about you

00:07

guys Yeah the preferred row of loners and members of

00:11

the mob We were given the following five number summaries

00:14

of test scores for a student sitting in the front

00:16

row and a student sitting in the back row of

00:18

class what will their parallel box plots tell us about

00:21

their scores Question People have been asking for ages please

00:26

for five minutes and hear the potential answers No All

00:32

right well it was the closest of students It was

00:35

the furthest away of students So we've got one kid

00:40

in the back row and one in the front were

00:42

given their lowest and the highest test scores plus the

00:45

median first and third corps tiles of each were being

00:49

asked about this data being shown in parallel bach platform

00:51

So let's See what that would look like before we

00:54

go any further Uh pretty would be even prettier if

00:57

we stuck a couple of bows on him Yeah they're

01:00

adorable Okay so let's found this one out Could the

01:03

box plus be telling us that a the person in

01:05

back had a smaller range of grades in the person

01:07

in front Well let's do some math only So bomb

01:10

This is a math problem After all the fellow in

01:13

front has a range of scores from seventy five to

01:15

ninety six which is a difference of twenty one While

01:17

the kidney back has a range from sixty seven in

01:20

ninety two difference of twenty five it was just the

01:23

opposite Mr back row has a larger range of grades

01:26

than his front row counterpart to uncross a off list

01:31

And we conclude that the person in front has a

01:33

smaller inter quartile range than the person in back no

01:37

more man Serious front row guys into court tell ranges

01:41

from seventy eight to eighty nine which is a difference

01:43

of eleven But same deal for back Rogue i eighty

01:47

five months Seventy four is also eleven So no option

01:50

being is the moon Do we know that See the

01:54

person in front has a higher average than the person

01:56

in back We don't have all the data points here

01:59

Just a few select one So so there's no way

02:00

to calculate the average Although we're gonna be boldly suggest

02:03

that neither of them is going to find the cure

02:05

cancer Well then it has to be one of the

02:07

last two Even a person and back has a left

02:09

or right skewed distribution Well which is it to figure

02:13

that out We always have to look at the median

02:15

when the media is very close to the first court

02:17

tile The distribution is skewed right When it's close to

02:20

the third quarter mile the distribution is skewed Left in

02:23

this case we've got a median of seventy six and

02:26

the first quarter Hell is right on top of it

02:28

It's seventy four Oh yeah The distribution is skewed right

02:31

which is option e nicely done with the head of

02:36

the class Or well stay in the back If you'd 00:02:38.29 --> [endTime] rather it's a

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Want to pull an Oliver Twist and ask us for more? We've gotcha covered. Head over to /video/subjects/math/test-prep/ap-statistics/ for more AP...