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Stem $\qquad$ Leaf4 $\qquad$ 4 5 6 7 75 $\qquad$ 3 5 6 7 8 96 $\qquad$ 7 7 8 9 9 9 $\quad$ 4 \ 5 = 45

8.8

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

University of Michigan - Ann Arbor

Idaho State University

Lectures

01:32

In mathematics, the absolu…

01:11

10:08

Stem Leaf5 $\qquad$ 7…

06:32

Construct a stem-and-leaf …

00:17

Divide.$$5 \div { 1 5 …

00:31

Divide.$$-\frac{5}…

14:08

$\mathbf{A}=\left[ \begin{…

01:06

Divide.$$\frac{4 a}{5}…

$\begin{array}{|c|c|c|c|c|…

00:48

Divide.$$2 1 4 \enclos…

02:04

Divide: $5 \frac{2}{3} \di…

01:26

The stem-and-leaf plot sho…

02:32

Organize the data in a ste…

02:21

$$\begin{array}{|c|c|}…

02:50

Find $5 \frac{4}{9}$ plus …

04:22

Subtract.$$5 \frac{5}{…

00:38

Divide.$$-\frac{4}…

00:36

Divide.$$2 9 \enclose{…

07:02

Graph the numbers on a num…

02:46

9. $$1, \frac{1}{3}, \frac…

01:13

Divide $9 \frac{1}{5} \div…

all right. So for number 12 were given a stem only flattened, rest to calculus. Standard deviation. So pretty much we've been fighting the variance. And this in a deviation all this time from since number three. So we're pretty much doing the same thing that we've been doing this entire time. Except now, just the final final answer is the sooner deviation. Is there any gold? Now, this is a stem and leaf plot. What you're gonna want to be able to just go ahead and look at your suddenly pot and go ahead and take it apart and turn it into a list. Like what the other problems looked like. So I'm going to go ahead and type those out. We at 44 45 46 47 40 seven, 53 55 56 57 58 59 67 67 68 69 69 a. M. Another 60 night. Okay, it's gonna take these numbers and it's good. Accountable these numbers first, so we know how much divide by for our average. Just give me 123456789 10 11 12 13 14 15 16 17. The 17 numbers are in our list, So our first task is going to be to find, you mean so remember, when we find the mean, that means we add up all the numbers and provide by how many is in the list. It's going to go ahead and do that road quick. So we're gonna take our calculators and add up those numbers. So we've got 44 plus 45 plus 46 plus 47 plus 47 plus 53 past 35 plus 56 57 plus 58 59 67 or 67 or 68 the 69 for 69 plastics tonight. And so I got 976. So that 9 76 and we divide by, I believe you said it was 17. We get 57 0.4 when we round to the nearest tent. So now our task is going to be taking our 17 numbers in that list and subtracting those numbers from the 57 minus 57.4. So that's gonna be step two, and that's gonna be us technically finding the variance of Step two is to find the variance. So we're going to subtract all of our numbers minus 57.4, and then we square it because some of our numbers that we get are gonna end up being, um, negatives and we don't want negatives. So we're gonna go ahead and start doing that subtraction that little quick and that is the most time consuming part is this variants aspect of the problem. But it's very repetitive, at least, so that kind of helps the situation. So we're gonna do 44 minus 57.4. We put parentheses around that square symbol on the same thing for all the other things. So 45 miles, body high, my eyes 57 more more than smokes. Well, more. I won't 40 spoon during other, bro. No, we've got 50 miles. Seven four for the sake of time. When I want to go ahead and do is just right out and numbers in that list real quick. So we got 50 six, you've got 57 58 50 nine. You've got 67 and we're more worse attracting from the saying members I'm just gonna draw narrowed down just a show that we subtracted from that same number. And then we're still squaring. So for good measure might be good to put that there. And then, um, you still had a few more to write down. So we had another 67. We had a 68 and then we had 60 69 69 and glasses again. It's 57.4 getting subtracted. We go all the way down here and were squaring, So Okay, just so that way we can kind of keep track of time here, and you can kind of see the pattern. Hopefully, no, it's OK. And I were actually to go do the actual math instead of just getting all set up. So we're gonna do 44 minus 57.4 and we're going to square that we get 1 70 nine my typos in because they could be big 1 79.56 Forget 45 minus 57.4. And we square that we get 1 50 3.76 We get 46 minus 57.4 square that and it's 1 29 point 96 47 minus 57.4 square that we get 108 point 16 53 minus 57.4 squared gets us 19 point 36 ready for a new text box over here. Okay. And we'll do that. Math in that column 55 minus 27.4 squared. Get this. 5.76 56. Minus 57 point or squared gets us 1.96 57. Last 57.4 squared at this point. 16. 58 minus 57.4. It's this 0.6 squared at this 0.36 59 months. The 7.4 squared It's this too. 0.56 67 Linus with the 7.4 squared is 92.16 Last column 67 minus 57.4 squared gets us 92.16 Well, there you go. Okay. 68 minus 57.4 squared gets us 112 0.36 69 minus 57.4. Squared gets us 1 34 0.56 And since the other numbers air also, uh, 69 we're gonna do the same thing, so we can just read. Type those out. We write those out as is. So what we have to do now is all the numbers that are typed up and our box of those are going actually get at it up to be come on average. And that averages called the Variation. So we're going Teoh, find the average and that's gonna get us or Variation. And we need the variation in order to be able to calculate the state of deviation, which is our final answers here. So we're gonna add up all these numbers and divide by the total number in the list for 17. So we're gonna do 1 79.56 plus 1 53.76 plus 1 29.96 last 10816 plus 19.36 plus 5.76 plus 1.96 This 0.16 plus 0.36 plus 2.56 Let's 92.16 Last 92.16 plus 1 12.36 plus 1 34 point 56 plus 1 34.56 That's 1 34.56 So in that total, we get 13. 01 13. 01 0.96 And we divide by 17. So we're And divide that by 17 and we get, uh, seven. De six point six will say, And then we square root that number and that will be our standard deviation Much is about 8.8.

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