00:01
In this question, we're looking at some histograms.
00:02
So starting with part a, it says using the midpoint labels of the three histograms.
00:09
What would you say about the estimated range of the population data from smallest to largest? and does the bulk of the data seem to be between 8 and 12 in all three histograms? so we're going to look through.
00:20
You can zoom in and you can see what the range is going to be.
00:23
The range is just the smallest, the largest value minus the smallest value.
00:30
And here we don't quite know what the smallest value is in the first one because you can see it's not labeled it's somewhere before eight but we don't exactly know what it is for the second one though you can pretty much see that the smallest value is just about seven at least when we're looking at the median value so we'd have a 12 minus 7 so the range is 5 and the last one once again we don't quite know what that value is because it's not labeled for the very smallest value.
01:13
Although if this is eight here, then this should probably be seven, assuming it's like spaced out correctly.
01:20
And this one's just before eight, so we can assume it's probably seven.
01:23
So overall, even if those are outliers, i would say the majority of the data seems to be between 8 and 12 for all three of these graphs.
01:33
You can see most of it is between this point and this point, this point, in this point, and this point, in this point.
01:41
You just have a couple of outliers.
01:43
So for part a, i would say, yes, the bulk of the data, aka most of it, seems to be between 8 and 12.
01:51
You can just kind of see that by looking at it.
01:59
Now, second of all, it says the population distribution from which the samples were drawn is symmetric and mound shaped.
02:09
So let's talk about that for a second.
02:12
Symmetric, well, let's talk about, so mound shape should look something like this.
02:18
Symmetric, meaning that if i draw a line down the very center of it, both sides should match up with each other.
02:27
You can see that these follow somewhat of a mound shape right here, here, and here, although some might be a little bit more symmetric than others, but they don't have to be like perfectly symmetric.
02:45
So let's see.
02:46
If we split this in half, this one looks pretty symmetric.
02:55
Oops, i did not mean to draw a lot there.
02:57
This one looks pretty symmetric, and this one maybe not as symmetric as the others just because, well, let's see, maybe we can split in it in half here.
03:10
Yeah, not as symmetric as the others, but still fairly symmetric.
03:14
And then it says with the top of the mound at 10.
03:18
Let's see which of them have that.
03:21
So the top of the mound is 10 here and it's 10 here, but it's not 10 here.
03:30
You can see the top of the mound is kind of a little bit before 10.
03:34
But still pretty close to 10.
03:36
Obviously, it's in between 9 and 10, so it's pretty close to the number of 10.
03:41
And then it says 95 % of the data between, 8 and 12.
03:50
So again, we saw that most of the data is between 8 and 12.
03:54
The only one, the one that has, well, there's a couple that have the most...