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Mathematics 21 Online
OpenStudy (anonymous):

The test scores for 9 students on the Unit 1 test were 35, 25, 50, 95, 80, 60, 45, 100, and 90. What is the value of the third quartile for this data set? A. 85 B. 90 C. 92.5 D. 95 how would I go about finding the 3rd quartile?

OpenStudy (anonymous):

@jim_thompson5910

OpenStudy (anonymous):

My answer is D right?

jimthompson5910 (jim_thompson5910):

sort the data first what do you get when you do that?

OpenStudy (anonymous):

so do i order them up from least to greatest?

jimthompson5910 (jim_thompson5910):

yes

OpenStudy (anonymous):

okay i get 60

jimthompson5910 (jim_thompson5910):

what's your sorted data set look like

OpenStudy (anonymous):

100, 95,90,80,60,50,45,35,25

jimthompson5910 (jim_thompson5910):

sort it the other way around

jimthompson5910 (jim_thompson5910):

smallest to largest

OpenStudy (anonymous):

25,35,45,50,60,80,90,95,100

jimthompson5910 (jim_thompson5910):

good, what you do now is located the median that's the middle most value that is 60, so the median is 60

jimthompson5910 (jim_thompson5910):

then what you do is break the data set into two halves each half has the median in it so you'll have this lower half 25,35,45,50,60 because it's below the median, and this upper half 60,80,90,95,100 since that's above the median

jimthompson5910 (jim_thompson5910):

the median of the lower half is Q1 the median of the upper half is Q3

OpenStudy (anonymous):

so the small numbers are always on top right?

jimthompson5910 (jim_thompson5910):

what do you mean

OpenStudy (anonymous):

so when you break them into two parts, is it always the first half thats on top?

jimthompson5910 (jim_thompson5910):

the first half is the lower half (since it's below the median) the second half is the upper half (since it's above the median)

jimthompson5910 (jim_thompson5910):

not sure what you mean by "on top"

OpenStudy (anonymous):

oh nvm lol brain fart, so now how do we find our answer?

jimthompson5910 (jim_thompson5910):

find the median of the upper half that will get you Q3

jimthompson5910 (jim_thompson5910):

Q3 = 3rd quartile

OpenStudy (anonymous):

90

jimthompson5910 (jim_thompson5910):

you got it

OpenStudy (anonymous):

yay!! does upper extreme mean upper half?

jimthompson5910 (jim_thompson5910):

hmm I've never heard of that term, but it sounds like it

OpenStudy (anonymous):

ok

jimthompson5910 (jim_thompson5910):

it could also be referring to the max

jimthompson5910 (jim_thompson5910):

upper extreme = max but not sure

OpenStudy (anonymous):

okay cuz this is what I came across. Identify the upper extreme on the box-and-whisker plot.

OpenStudy (anonymous):

A. -5 B. -3.5 C. 1 D. 5

jimthompson5910 (jim_thompson5910):

yeah i think they want you to find the max

jimthompson5910 (jim_thompson5910):

ie, the right most point on the plot

OpenStudy (anonymous):

so the total max would be 5 then right?

OpenStudy (anonymous):

or i mean 1 lol

jimthompson5910 (jim_thompson5910):

hmm which "one"....

OpenStudy (anonymous):

1

jimthompson5910 (jim_thompson5910):

good, that's correct

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