00:01
So we thought that the median of the set of values is 31 .5.
00:05
The values are 5, 12, 23, 41, and 48.
00:16
Okay, what is our median here? so if we were just looking at these five values, what we would do is we would cross out one at a time from either side.
00:29
So we get to the middle of the data point.
00:31
We cross out the lowest.
00:33
Along with the highest, and we just keep going until we get a middle point.
00:38
So if this data set was just five points, it would be 23.
00:42
But of course, it's not.
00:45
Our median is 31 .5.
00:48
So that means we have a sixth value somewhere in here, and we have to find out what that is.
00:54
So first of all, let's figure out kind of the range of this.
00:57
So we know that if the value was out here, like say 50, then what would that mean? that would mean that the median, if we, here let me just write this down again so we could see what would happen if this is the case.
01:14
If we say the last value is 50, right? and we go about that procedure of finding the median, it would be between 23 and 41.
01:24
It would be perfectly between them.
01:27
So what we have to do is add 23 plus 41.
01:32
We get 64.
01:35
64, we're going to divide that by two because remember it's midway between these two.
01:39
So it's like an average of them.
01:42
And we get 32.
01:44
So if it was 50, then this would be 32.
01:48
So that tells us something pretty interesting, which is that the number that we're searching for has to be somewhere in this range.
01:57
It has to be somewhere in this range.
02:00
And the reason for that is if we just add stuff to the, outsides say like here or over here like we added 50 then we're just going to end up with these two values in the middle anyway right so what we have to do here is add like one more value so that the median ends up being 31 .5 okay so what we can see here which is really interesting is that 20 between 23 and 41 is very very very very close to our goal value of 31 .5.
02:39
The median of this data set is very close...
