 actual. So but now and now let's take the average of all of the of the 100 samples that we took, the average brackets, I'm hitting the up arrow, and then I'm holding down control shift and up. And now I'm just simply holding shift so I don't pick up the header and down. So you can see the formula still up top in the formula bar, average BE to colon to be 101 and enter. So now I can if I double click, there's the formula. If I put my cursor on that, I can put my cursor on the fill handle. Now left click and drag that to the right and it will pick up all of the relative references all the way to the right. Now because this is my conclusion line, maybe I select this and make it like a different color, like say home tab font group, drop down, let's make it blue and white. And then you might put like underlines here, you might put underline select in this column, home tab and font group and center. So so now I can compare this to my to the actual, this is these are my samples. Now I took 10 samples of 100 this time. Let's compare that to the actual data. So I'm going to hit equals down here again. And I'm going to go back to my and I'm going to go back to that where I calculated the the sample. I did it over here somewhere. There it is. So I want to pick up this table. It's in I put it in cell s 17 s 17. Enter. I'm just going to build that table again, putting my cursor on this cell, fill handle, drag it to the right. And then I'm going to drag it down. I don't need this middle column because nothing's in it. And then let's format this by going to the home tab, font group, bucket, blue and border. So there's the actual amount for the population. Remember again that in this case, we have the entire population, right? And we're trying to look at a sample to see how close if I was to randomly take a sample, we get to the numbers that we already know from the entire population so that we can so that we can then apply those concepts to times when we don't know the entire population, right? So this is the actual kind of answer in terms of the mean. And we get pretty close, right? We got the 68 67 and so on to do that with a with a sample of 100. So now you might want to represent this sample as a column. So just to practice our Excel skills here, I could then copy this and say I would like to see this in the format of a column as the results of my 10 samples. So let's copy that. I'm going to go up top and say let's put that I'm going to put it over here and BR BR right click. And I'm going to paste it just 123 because I just want the values, not the formulas. So so there there it is here. And then if I want to take those numbers and flip it so it's on the vertical, I can put my cursor in BQ right. Actually, I should have copied it. Let's copy it again. Let's copy those numbers. Copy those numbers. I'm going to put my cursor in BQ and I'm going to right click special because I want to switch it to be it to transpose it. So I want to transpose down here and now it'll put that vertical. That's a useful tool to know. So if I then select these, I'm going to delete these don't need these because I got them vertical now. And then again, you can you can kind of see there's there's the average. This is the this is the sample sample average. And then this is the actual average, let's say, and then the difference difference. And let's make this a table select or let's make it a header. Home tab font group. I'm going to make it black and white. And then I'm going to go to the alignment and wrap the text and then center it. And then the average, I'm going to say this equals and I'm going to scroll down to that average that I got down below way down way down in my table. There's the actual average. And then that's the same all the way down. So I'm just going to say this equals the same number equals the one above it. And then if I copy that down, it will always equal the one above it, putting my cursor on the fill handle dragging down. So it always equals the one above it. And then the difference, this is going to be equal to the sample minus the actual there's our difference, which I can put my cursor on the fill handle, drag it down, I can copy and paste it, or I can just double click. And that'll take it down. So now you've got some that are over and and some that are that are under on the average. So remember what we did here, we took, we took samples of 100. And we could analyze each of these one samples, how close they are to the average. But then we took the average of each of these 10 100. There's actually 11 of them 11, 11 samples. And then and then. And so these are the averages of the 11 samples. And now we're competing