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TSI Math: Which Data Set is Represented by a Box and Whisker Plot? 19 Views


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Description:

Which set of data points is represented by the box and whisker plot below?


Transcript

00:02

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

00:05

you Look at this thing right here on the number

00:07

line which set of data points is represented by the

00:10

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

00:20

here People check the rear view mirror and then shift

00:22

into reverse If we want to figure out which data

00:24

set produced the given box plot we need to understand

00:28

what a box plot shows us first that dot all

00:31

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

00:33

it should be one single value well away from the

00:36

other values on the box The line in the middle

00:39

is the median The left end of the boxes the

00:41

twenty fifth percentile or first quarter tile or simply kyu

00:45

won the right into the box is the seventh percentile

00:48

or the third quarter mile or q three Well that

00:51

little mark on the end there The left whisker is

00:54

normally the lowest point in the data set But due

00:57

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

00:59

the data set Well the market the end of the

01:01

right whisker There is the largest data point So after

01:04

grabbing the magnifying glass we can see the outlier Is

01:07

it to the second lowest data point is twelve ish

01:10

and the first court tiles about thirteen Well the median

01:13

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

01:16

to be hanging out around eighteen ish and the max

01:19

value is probably about what is that twenty one Well

01:22

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

01:24

Second lowest point of twelve and a maximum value of

01:26

twenty one looks like we need to check the median

01:29

and other court tiles of those two sets to make

01:31

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

01:34

about this Got all these numbers here that they have

01:37

a median of sixteen Kyu won is thirteen Q three

01:41

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

01:45

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

01:48

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

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