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Mean,Standard Deviation, and VarianceLooking at Table which population do you expect to have the most variance in sprinting speed?Population b. Their variances are ...

Question

Mean,Standard Deviation, and VarianceLooking at Table which population do you expect to have the most variance in sprinting speed?Population b. Their variances are equal;Population

Mean,Standard Deviation, and Variance Looking at Table which population do you expect to have the most variance in sprinting speed? Population b. Their variances are equal; Population



Answers

Identify the statistic that is used to estimate a. a population mean. b. a population standard deviation.

All right guys, so here's what we're going to do for today. So we're supposed to do the population variance as well as the population standard deviation. So I took the liberty of typing the data points into a google sheet. We'll get started at first, I need to find the population variants. So V A R he where population very anti typing via rpc google sheet, you're then going to highlight all the data points right there. I hit enter and it's 25. Okay, cool. I don't know why it is all those dots. One place is kind of weird, but Okay. Oops. And then already, and next I need to find the population standard deviation. So I click an equal sign there and uh population standard deviation, I think it S T D E V p there? It is. Okay, so, uh standard deviation for population, I click on that and then highlight all the stuff there and enter and it's five and there we go.

All right, guys, so for this one, this time for this problem, we need to find the pot sample. I'm sorry, the population variance and standard deviation is a little different from the previous two questions here. All right, So the population variance here is I'm going to do that. I'm gonna go ahead and use a google sheet. You can do the same thing with Excel or you can do it by hand, you can write your text book if you like to do by hand. So the first thing I'm going to find is the population variance. Here's how you find that on um google sheets of a. R. And then piece of a RP. Got it for variance of an entire populations. Like click on that. I'm then going to use my cursor to highlight all the numbers in that I want I hit enter and it's 16. All right, let's continue on with population standard deviation. So, first I'm gonna get my equal sign. I'm then going to start typing in standard S T S T dev. That's good. But that's for just a sample. I need to find standard deviation for a population right there. Okay. So then I'm going there. I'm going to highlight all the numbers I want and I get a nice four. Okay. And then a great check. Is this standardization square to be the variance is four square at 16. You betcha, we're done.

All right guys. So for this one, and they do want us to find the population variance and population standard deviation. So let's go and get started. I want to go ahead. I want to head and typed all the numbers into a google sheet. You know the same thing with Excel, if you prefer that, or if you would like to do by hand, go for go for it and reference your textbook, for example. But here's how you do it on google sheet. First, of course, you type it on the data, then we're gonna do is this I'm going to open, I'm going to go on a different cell here and hit the equal sign on my keyboard and now I'm going to start typing invariance. But be careful here because I need to make sure I do population variance and that's right here, V A R p, the variance of a population there is what we got right after that. It's gonna open apprentices for me. I do need to highlight everything with my cursor to make sure that I get all those data points I hit enter and that's it. Okay, now I need to do the standard deviation. Standard deviation for population is S. T dev P and that's right here, S T D F P standard deviation of an entire population. I click on that and um I highlight all the stuff I need, I hit enter and I'm done. Perfect. Alright, A great way to check as well is the standard deviation should be the square to variance eight is the square to 64, so we're done.

All right, you guys. So it wants us to find here the sample variance and the sample standard deviation. So that's what we're going to do. Okay, so for this one guys, you could go back and look at your text to figure how to do this by hand by maybe a really easy trick. I'm opening a google sheet right now, you can do the same thing on an Excel sheet if you like. If you prefer to use Microsoft word, but there's not a google sheet. And so I'm going to show you how to do it very, very quickly. So this ask for a sample, which means I need to find the sample variance first. Okay, so here's how you do that first. You just click the equals button on your keyboard, press the equals button. Then you're going to type in the letters V A are okay. And now let's say I pipe in VR and indicate the variance. I then do open parentheses and I'm going to use my cursor to highlight all of these and now I'm just going to press enter And it's 36. That's simple. Now, same insanity aviation is very similar. Again, you start with an equal sign and that's telling the sheet that you want to calculate something. And then for standard deviations you're gonna I'm gonna start typing an S. Then the letter T. Then the up there it is S. T. Dev right there in that standard deviation. And again, it's going to open the premises for me. This time I'm going to select all the data points I hit enter and at six, a great way to check this. Is this the standard deviation squared should be the variance six squared six times six is 36. So it's looking good.


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