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Answers

Plot the points in the given viewing rectangle. The table lists the number of U.S. households with a computer for selected years. $$\begin{array}{|c|c|} \hline \text { Year } & \text { Households (in thousands) } \\ \hline 1984 & 87,073 \\ \hline 1993 & 98,736 \\ \hline 2003 & 113,126 \\ \hline 2009 & 119,296 \\ \hline \end{array}$$ (a) Plot the data in the viewing rectangle $[1982,2012]$ by $\left[80 \times 10^{3}, 120 \times 10^{3}, 10 \times 10^{3}\right]$ (b) Discuss how the number of households is changing.

So for this problem, we just need to plot the given points on our graph. So this is a graph that we're going to be using. First point is too negative. Three. So the 1st 1 is our X coordinate. The second number is or why it's we go. We start at the access or the origin, which is right at the center right there. So we have positive too. So go right to and then negative three. So down 123 That's where our first point is. Next one is 51 So over 12345 up one. That's where that point is. Then we have zero two. So we're staying in place on the X axis and then just up to then we have negative 10 So we go back one and then we're on the way. Access because our white coordinated zero 00 That's just the origin. Then we have negative to negative five. So we go back to and then down. 512345 and we have negative one one. So we go back one and then up one. And finally we have one negative ones. We go right one and then down one. And these are all these plots pointed on a graph. All these points plotted on a graph.

Right here on this. Probably only draw a box. And Mr Pot, first thing we want to do here is list this in increasing order. 15. 15. That will do. 16 16 17 17 18. No, I mean, I missed the search team. Let me go back. No, I missed the search team, so I like underlining when I'm underlining them. When I do them that way, I make sure I don't miss anything. I missed that search team. So search seeing and I've got my to 17. All right, men of god, the 18 man 2 19 20 and a 22. Right. And I believe that should be all of them here. Right now, we have listed in the cracked order, so we need to find our court tiles here. So it's find the second court title first. Actually, that's just your medium. So there's 12 numbers. Sort of 123456 You want to the sixth and seventh immune? Because we have 12. They're both 17 though, so I just told us our second portal would be 17. Now, let's cut it here, and let's find the median of each of these two parts So we've got six in each part. So we go. 123 three and 4 11 and 16 and 16. That just told us our first court title, the 16 here in the second block, do 1234 Note of those parts there until this our third quarter. I'll is 19 now. We can also notice our minimum is 15 nor Max just 22. All right, so let's use this to make our box and whisper pot going down around one 15 is the minimum until 15. Where that metal is going to be 16 is where we start our box, cause that's where the first court Tyler's its core time one on and we go over here. That third torque quartile is at 19 and so that's where the box will end. Second quarter Mile is at 17. So that's where that mid part of the box is going to be. Gladys Quartile, too, over here on the end. That's Portal three, and then we're going to go out 2 22 because that is our man

Wait. Teoh organized data in shorthand is called a stem and leaf lot. Now a stem only flaw. It's very simple. It's called seven leave, because this is like Stam. And then the data pieces air like the leaves like you can imagine, likely is coming off the stem. Right. So it's like a stem and leaf. That's kind of how he said it up. Right. So that stem and the leaves are the pieces of data. All right. Makes go back and erase those. All right, So here's the data set that you're given when you do stem innately flawed, you need a key. You want to think about what place value you want your intervals to be. It's basically like grouping by intervals. So every line on your stomach leaf is basically going to be a place value interval. And they're looking at this. I'm saying 70 to 64 91 right? Everything seems to be, um, you know, organized in the from machine, zero in 100 basically right less than 100. So it looks like you're gonna be counting by tens. Right? So a good interval account by is the tens. That means when you separate your stemming Lee, you're going to like, Let's value here, this place is gonna be the tens place, and this is gonna be the ones place. So we're gonna start by putting our key in. You know, I think e First Avenue to interpret it. So we're going to say that seven slash two is 72. What that means is that we're counting by 10 says the intervals attend. This is the tens place. So what you put in your stamp on the left hand side is basically the the interval. You're counting bias or county by tense. Here, this is the tense place, and then the ones places the individual pieces of data. So seven slash two is seven tens and two ones, which is 72. Okay. And once we have the key, we've established that. Then we can start to organize your stomach. Leave now. When we do it, you might want to create a ordered stemming. The flowers basically means you're gonna first put these values in order from these two greatest Or as you put them onto your standard leave point. You're putting the values from its the greatest. So let's do that, um When you're creating a stem Lee's plot, you want to think about what? The minimum value this year in terms of our interval. So we got seventies, sixties, seventies, eighties, nineties. It looks like the lowest one is the 50. All right, so fifties is the lowest. So we're gonna start it with five right there. We're gonna go up from there so we can say 567 a nice. All right. There's our stamp. You can't have values. They're gap with gaps. Right? So even if there was no, let's say seventies in her data set, you don't have any gaps when we continuous here. So if it's 55 6789 and this is the 10th place really talking about fifties, sixties, seventies, eighties, nineties, you can't have any gaps. I have to go consistently. Um, interval interval mill gaps. Just like a history. Yeah. So here's your 72. Let's place that 72. Okay, so all you have to do is put the two there because, you know, this isn't seventies category, right? So 72 I tell you to stem only 64. So that's 64 68 at 68 66 at 66. 70. That 70 89. That's gonna be 89. 91 91 54 54 59 59 71 71. Every leaf is a piece of data 71 71 again 85 85. Now, this is a stem unleashed plot. It's a very nice one. It's not an ordered stunningly flock, OK? Because if if you look at it right here is 89 then 85 if you want to make what's called order stemming Lee, you need to rearrange these so that you have the lowest values to the left and fathers about largest vice, right? So 91 discussed eight anyone? 89 85 obviously 85 kinds of 49. So you want to change that? Just gonna kind of reorder it in purple. And let's change that from 95 to 5, you don't change any of the data. You just rearrange It doesn't order. Stanley Flock, this is 70 to 70 71 71. Obviously it should be 70 71 71 then 72. So you're gonna rearrange that as not 2011 but 011 to make it an order. Stem and leaf plot. So 0112 0112 Now 70 71 71 72 That sixties. Here you got 486 Pretty close to being about what you want, but set for 86 You want 468 So let's just switch the eight in the sex. So it's 468 and then here you have a 54 49. That's already in our Now we have what's called in order to stem only Fuck you have a key to interpret it and you have taken all the state and rearranged it in the shorthand, Stanley.

In this question. When you use on a graphic, get later in this gonna dismissed They were given on equal thio the fraction here attempt one minus a power Jew. Then we divided by the one That's the time school side on the Tita on Now we're in the part. We're going to take the equal to 9/10. So this is gonna be 9/10 now. So we have nine with 10 and then palette you on. This one will be nine with tennis square and we're going to take that. I will go to 1231 Then we have this one will be the Ellipse. Then we have the three out of two. We also have the Ellipse here on day. We have the two on. Then we have the three. We see that the size of the Ellipse. Uh, sorry. Uh, she will be. It will be bigger here and for the three were getting bigger. So the bigger the and the bigger the lips and the fire will be much bigger here and something. It would change the age of the one of the farm Wonder one on too far. Yeah, and now it were the business, Another for standing from one. Then we have business. Almost the It looks very similar to the circle, but still it is lips. And if we Chinese 123 and two we have risen very similar to the circle. I know about the two, three and five. So it looks very similar to the circle. But Spain is a lips. So it's changing the major and a minor. What access here. So it means that the smaller the A, the closer the graph looks like you the circle. And now that's gonna be the But I now for the back pay. Yeah, we're going to fix the I ego todo and then we change the E to the nine out of 10. Yeah, we nine out of 10 and we have the smaller circle, the smaller lips, and then we change to the eight out of 10 and then we can do the seven. Uh, maybe let's say 25 five here and it looks very close to the circle. If we tend to the one of the 10 then we get big. Goes to the circle here. Maybe we change the 1/50 at the end here we see, doesn't it? There is growing students to go here


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