00:01
Okay, in this question, we're going to be doing a box plot.
00:04
And in order to do that, we need to first figure out what are the outliers.
00:11
And to do that, we need to know the intercortile range and the different quartiles.
00:14
So that's what you usually put on a box plot.
00:17
This time, we need to first, though, do it just to figure out what the outliers are.
00:23
So let's just go ahead and arrange our values in order.
00:28
So we should have one, two.
00:30
And i'm going to cross them out just so that we don't miss anything.
00:34
Let's see.
00:35
Next should probably be eight.
00:40
And i saw another eight.
00:42
So it looks like we have two eights.
00:45
Then we have a nine.
00:49
Then another nine.
00:53
Then an 11.
00:56
Another 11.
00:58
So the reason we want to calculate outliers is like we could look at it and be like, okay, one's probably an outlier, but we don't know without actually checking.
01:07
12, 12, 13.
01:12
Another 13 um 15 oh sorry there's actually three 13s this is why i should be checking them off so 12 12 13 13 and then 15 and then 16 and then 26 so a regular box plot would be like okay here's my lowest value to my highest value so those are quartile one and quartile four.
02:02
Now to find the middle quartile two, we're going to find the median.
02:06
So we just start crossing off values from smallest to largest, smallest, then largest, then smallest, then largest, until we get something in the middle.
02:17
So next smallest, next smallest, next largest, small, large, small, large.
02:25
And this time we have two numbers in the middle.
02:29
That's what happens when you have an even number of numbers in your set.
02:35
So what you do when you have two in the middle is you just take the average of them.
02:39
So we're going to add them up divide by two.
02:41
So right in between 11 and 12 is 11 and a half.
02:44
So that's going to be our median right here.
02:48
11 .5.
02:51
This is our quartile 2.
02:57
Sorry.
03:03
I did not mean to label those.
03:07
So the first value is not the first quartile.
03:10
Sorry.
03:10
That's the lowest value, but those are not actually part of the quartile.
03:14
So this would be quartile two.
03:19
Okay, so the median is equal to quartile two.
03:22
Then to get quartile one, we find like the middle between the first value and quartile two.
03:29
So we're going to do the same thing, but just with the first part of the data.
03:34
So lowest highest, lowest, highest, lowest, highest.
03:40
And we're left with eights.
03:42
So eight is our quartile one.
03:56
Then we do the same thing to get quartile three.
04:00
We go like lowest, highest, lowest, lowest, highest, lowest, highest, lowest, highest, lowest, highest, lowest, highest.
04:11
And we get 13.
04:15
So 13 is our quartile 3.
04:25
And that's like basically where the box goes.
04:29
So if i was going to actually draw a box pot, i would put a box at these values here.
04:37
Right.
04:37
So that's a regular box pot.
04:39
Now what we're going to do is we're going to take out the outliers.
04:42
So we need to figure out what are the outliers...