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Mathematics 9 Online
ReaganLily:

The following dot plot represents Set A. Calculate the range and interquartile range for this set of data.

ReaganLily:

@dude

1 attachment
Mehek:

`How many data points are in Set A?` is this its own question

Ultrilliam:

Range, as the name implies, is the range of the numbers. It is where it begins, and where it ends.

ReaganLily:

the highest number would be 9 and the lowest being 0 right?

ReaganLily:

I'm so not good at math omg

ReaganLily:

ok so how do you calculate the range? you know?

ReaganLily:

I thought you had to do something though. I thought it was more than just the highest and lowest number

Ultrilliam:

Well, technically you would subtract the lowest number from the highest number, but 9-0=9, so it's 9. The range is the difference between the highest and lowest number

ReaganLily:

oh ok and then the IQR is next

ReaganLily:

which I'm even worse at i'm pretty sure.

ReaganLily:

yea all I have left to do on this one is just the IQR then I'm done.

dude:

The IQR is 3 parts, 2nd quadrant, median, and the 3rd quadrant

ReaganLily:

the median on this is 3 I'm pretty sure.

dude:

Oh crepe IQR I mixed this (sort of) This is range, so you only want the 2nd and 3rd quartile (Also known as the upper and lower quartile) Do you know how to find these?

ReaganLily:

not that I know of.

dude:

I immediately digress what I said To find the 2nd quartile it is half of the median and the first point For example: (if you had points) 1,2,3,3,3,3,4 The median is 3 The lower quartile is 2.5 |dw:1551314561556:dw| You do the same process of finding the median but between your median and lowest point

ReaganLily:

ok so I'm alittle confused. Well I'm always confused but idk, my brain isn't working the best so I'm sorry in advance.

dude:

Okay that's fine I'll walk you through it. First, write out the points in order

ReaganLily:

ok.

ReaganLily:

sorry I've been so back and forth with 1000 things going on

ReaganLily:

0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 5 9

dude:

Okay where is the median (specifically)

ReaganLily:

the median is in the middle which makes it 3

ReaganLily:

oh wait.

dude:

Yeah but which of the 3's? First 3? Fourth 3?

ReaganLily:

oh wait so it is uneven it comes to 2 and 3 (first 3 last 2.) unless I'm getting it wrong.

dude:

No that is right, if its between it just means its [in between lol] Okay split the set of numbers from the median 0 0 0 0 1 1 1 1 2 2 2 2 2 3


3 3 3 3 3 3 3 4 4 4 5 9 From here you want to find the median of each half

ReaganLily:

ok

ReaganLily:

1 is the median of the 1st part and 3 is the median of the 2nd.

AngeI:

The number from the 3rd quartile subtracted by the number from the 1st is the iqr

ReaganLily:

thank you

ReaganLily:

so it's 2

AngeI:

Yes

ReaganLily:

thank you thank you!!

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