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Consider the two sets of data.A = {1, 2, 2, 2, 2, 3, 3, 3, 3, 4}, B = {1, 1, 2, 2, 2, 3, 3, 3, 4, 4}Find the mean, median, variance, and standard deviation of each set of data.

A->$2.5,2.5,0.65$ and 0.8

B->$2.5,2.5,1.05$ and 1.02

Intro Stats / AP Statistics

Algebra

Chapter 12

Probability and Statistics

Section 6

Statistical Measures

Sampling and Data

The Normal Distribution

Introduction to Combinatorics and Probability

Campbell University

University of Michigan - Ann Arbor

Idaho State University

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alrighty. So for number 36 were given two different sets of lists. We have List A and List B, and we are asked to just basically review everything by finding the mean median, very concerned deviation of each list. So to start off with the mean, remember that you need to add a all the numbers and then divide by the number of items that are in that list. So there are 123456789 10 numbers in that list. So we're gonna go ahead and do one plus two plus two plus two calculators and see what we get. So one close to pursue was to oppose To was three for three for three, plus three. Close four adds up to 25 25 divided by 10 is going to be two point fun. All right, so that our median is when we go looking at our list and we see where it's gonna be it right down the middle. And so it's going to end up being halfway between the two and the three. So halfway between two and three is 2.5 now, for the sake of time I'm going to vote a desk most dot com and input my list on desk most dot com and be able to quickly and efficiently calculate the variances Inter deviation using this list right here. So we go to desk most dot com and we're in a click start graphing, And in order to get the variation, you're gonna type V A r for variation and P for population and your list your numbers with commas in between them. So I'm gonna do that right here, so v AARP parentheses are very important. If you forget the parentheses, it's not gonna do the variation for you. So I'm gonna start typing in one comma, two comma, two comma, two from a to 33 33 and four. And in this lower corner here, that's our variation 0.6 fives. I'm gonna go ahead and write that down. Real quick variation is 0.65 And to get the city deviation, we can square root 0.65 or I'll show you a quick on dust. Most that if you type S t d e V first in deviation on the P for population of your list and then you can re type your list if you wish. Or if that is sounding too tedious, you can control, see copy and paste, and they again make sure that there's only one set of parentheses that's gonna make a difference. All right, so 0.8 roughly is our or 81 is going to be our sooner deviation. So 0.81 is our CNN aviation. So we're gonna go to and through the same thing for Let's Be So Notice how Let's be changed. Basically, this, uh, one of the twos became a one, and one of the three is became a force. We'll see how that effects. I'll mean median variants and Senator Deviation based on those flight changes. So we're going to add up the numbers and it's still tending the list. So we're going to add one plus one plus two plus two plus two plus three plus three plus three plus four plus four, and we get 25 again. So we still end up having the same mean so that's kind of interesting on then. Our median was not affected. It's still right down the middle between that, too, in that three so 2.5. So the mean the median happened to be also the same thing in this case. So I'm going to do the same thing that I did before with the variants and this in aviation. I'm gonna go to desk most dot com. And what's nice is, since this list was very, very close to being what it was in a all I'm gonna have to do is just make a slight change here and remember, changed that 13 to a four. And there we have our new variation tackle it for us in an instant. So I know you're probably like saying, Well, why didn't we do this all the time? Sometimes you need to know how to do things by hand in case you are not allowed toe, you know, have these sort of tools on, say, like a test or quiz or what not or send your battery dies on your chromebook or your laptop. You might need to just have a basic calculator, do the job for you. So all right, so that's a variance. And then we'll just do the same thing with an aviation change that to a one change that to a four and our center deviation as 1.2 mental right down it. Yeah, All right,

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