00:01
Hey there, welcome to numerate.
00:03
We were given a box plot above measuring the time spent of people reading last night.
00:11
So we are asked to find the iqr.
00:14
The equation for the iqr equals the quartile 3 minus the quartile 1.
00:22
So we have to find both quartile 1 and quartile 3 individually first.
00:31
So for quartile 1 is basically the lower, and here of the box, and you can see the lower end corresponds to a value of 40.
00:41
So we have 40, and we have 50 for quartile 3.
00:47
So what we're going to do is to plug in our values here.
00:51
50 minus 40 simply equals.
00:57
So 10 would be iqr.
01:01
Now let's find a lower fence and upper fence.
01:04
So for the lower fence, the equation for the lower fence equals the quartile 1 minus 1 .5 times the iqr to see the cutoff value in the lower end for an outlier.
01:31
So we know that our quartile 1 is equal to 40 minus 1 .5 times our iqr, which we just calculated above as 10.
01:44
So let's see what is our lower fence.
01:59
Okay...