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Jackson $\qquad$ Washington $\qquad$ King170, 165, 140, 188, 195 $\qquad$ 144, 177, 215, 225, 197 $\qquad$ 166, 175, 196, 206, 219

Find the standard deviation of the weights for Jackson High.

19.3

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

Harvey Mudd College

Baylor University

University of Michigan - Ann Arbor

Idaho State University

Lectures

01:32

In mathematics, the absolu…

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05:10

Jackson $\qquad$ Washingto…

05:19

05:50

Find the variance and stan…

07:42

04:14

02:21

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already. So for number 27 were asked to find the Senate deviation of the Jackson Ah, high schools, weights from a football team. And so we're going to have to first of all, find X bar the main because you're in order to tactics, Aaron. Deviation, unifying, variance in order, find variance, unifying the average. So it's kind of those domino effects. So we're going to add up all those numbers 1 70 So we're going to add up all numbers and divide by five. So we'll add up together. 1 70 plus 1 65 plus 1 40 plus 1 88 plus 1 95 And we get 8 58 we have to divide by five. And I get 1 71.6 Exactly. So we're going to now take that 1 71.6 and we're going to use that to get the variation. So Variation is taking all five numbers and that list it's attracting the mean for each of them. So that's gonna be our first step. Step to a of the variation situation. So 1 70 1.61 71.6 they're all gonna be building with the same number here, so it kind of follows a pattern. All right, so we're gonna go ahead and do 1 70 minus 1 71.6 and then go ahead and square. Now, remember, if you get a negative number when you square a negative or when you square a positive, it will always be positive. So don't be fooled by your calculator if you forget to do ah, parentheses around that square squaring situation. So you get to 0.56 and that's after doing the square. Do you know for you to square? We're gonna do 1 65 minus 1 71.6 and you're gonna square it and you're going to get 43.56 We're gonna dio 1 40 minus 1 71.6 and square it. We get a big number 9 98 0.5 six. We're gonna dio 1 88 minus 1 71.6 16.4 gets squared and we get to 68.96 1 95 minus 1 71.6 is equal to 20. We scored 23 points over then you swear it and you get 5 47 0.56 Alrighty. So now what we want to dio with our red numbers is move on to what I call step to be. And that means we're going to average up thes numbers. Take the average of these numbers. So that means we add up the numbers and divide by five again because there's five numbers in the list, so I'm gonna add up 2.56 plus 43.56 plus 9 98.56 plus 2 68.96 plus 5 47.56 out of those numbers and we get 18. 61 point to divide up by fine. And we get 3 27.24 So this right here is what we call the various. And in order to get our sooner deviation, we have to do one last thing and it doesn't take much effort. You're going to for, like, all set three. We're going to get the standard deviation, which is our goal of this problem. And that's by square rooting the variance. So we're gonna square root 3 27 0.24 and around the nearest 10th on that. So you square root 372.24 you're gonna get 19.3. And that, my friends, is your final answer. The standard deviation.

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