WEBVTT 00:00:00.512 --> 00:00:03.634 - [Voiceover] The two-way frequency table below 00:00:03.634 --> 00:00:06.386 shows data on type of vehicle driven. 00:00:06.386 --> 00:00:08.103 So, this is type of vehicle driven, 00:00:08.103 --> 00:00:11.355 and whether there was an accident the last year. 00:00:11.355 --> 00:00:13.445 So, whether there was an accident in the last year, 00:00:13.445 --> 00:00:17.020 for customers of All American Auto Insurance. 00:00:17.020 --> 00:00:19.319 Complete the following two-way table of 00:00:19.319 --> 00:00:21.455 column relative frequencies. 00:00:21.455 --> 00:00:22.616 So that's what they're talking here, 00:00:22.616 --> 00:00:25.054 this is a two-way table of column relative frequencies. 00:00:25.054 --> 00:00:28.792 If necessary, round your answers to the nearest hundredth. 00:00:28.792 --> 00:00:30.209 So, let's see what they're saying. 00:00:30.209 --> 00:00:31.741 They're saying, let's see... 00:00:31.741 --> 00:00:35.841 Of the accidents within the last year, 28 were 00:00:35.841 --> 00:00:39.055 the people were driving an SUV, a Sport Utility Vehicle 00:00:39.055 --> 00:00:42.236 and 35 were in a Sports car. 00:00:42.236 --> 00:00:46.625 Of the No accidents in the last year, 97 were in SUV 00:00:46.625 --> 00:00:48.541 and a 104 were in sports cars. 00:00:48.541 --> 00:00:49.832 Another way you could think of it, 00:00:49.832 --> 00:00:52.824 of the Sport utility vehicles that were driven 00:00:52.824 --> 00:00:56.400 and the total, let's see it's 28 plus 97 00:00:56.400 --> 00:00:59.952 which is going to be 125. 00:00:59.952 --> 00:01:03.458 Of that 125, 28 had an accident within the last year 00:01:03.458 --> 00:01:06.194 and 97 did not have an accident within the last year. 00:01:06.194 --> 00:01:11.177 Similarly, you could say of the 139 Sports cars 00:01:11.177 --> 00:01:13.257 35 had an accident in the last year, 00:01:13.257 --> 00:01:15.370 104 did not have an accident in the last year. 00:01:15.370 --> 00:01:18.156 So what they want us to do is put those relative 00:01:18.156 --> 00:01:20.292 frequencies in here. 00:01:20.292 --> 00:01:22.243 So the way we could think about it. 00:01:22.243 --> 00:01:24.077 One right over here, this represents 00:01:24.077 --> 00:01:26.468 all the Sport utility vehicles. 00:01:26.468 --> 00:01:27.745 So one way you could think about, 00:01:27.745 --> 00:01:30.346 that represents the whole universe of the Sport Utility 00:01:30.346 --> 00:01:35.022 Vehicles, at least the universe that this table shows. 00:01:35.022 --> 00:01:38.356 So, that's really representative of the 28 plus the 97. 00:01:38.356 --> 00:01:40.400 And so, in each of these we want to put 00:01:40.400 --> 00:01:41.604 the relative frequencies. 00:01:41.604 --> 00:01:43.342 So this right over here is going to be 00:01:43.342 --> 00:01:48.311 28 divided by the total. 00:01:48.311 --> 00:01:51.475 So over here is 28, but we want this number 00:01:51.475 --> 00:01:52.799 to be a fraction of the total. 00:01:52.799 --> 00:01:56.305 Well the fraction of the total is gonna be, 00:01:56.305 --> 00:02:00.229 28 over 97 plus 28. 00:02:00.229 --> 00:02:03.642 Which of course is going to be 125. 00:02:03.642 --> 00:02:06.173 Actually let me just write them all like that first. 00:02:06.173 --> 00:02:11.173 This one right over here is going to be 97 over 125. 00:02:11.304 --> 00:02:13.115 And of course, when you add this one and this one, 00:02:13.115 --> 00:02:14.782 it should add up to one. 00:02:14.782 --> 00:02:19.570 Likewise, this one's going to be 35 over 139. 00:02:19.570 --> 00:02:21.231 35 plus 104. 00:02:21.231 --> 00:02:23.550 So, 139. 00:02:23.550 --> 00:02:28.550 And this is going to be 104 over 104 plus 35. 00:02:28.695 --> 00:02:30.692 Which is 139. 00:02:30.692 --> 00:02:33.293 So, let me just calculate each of them using 00:02:33.293 --> 00:02:34.291 this calculator. 00:02:34.291 --> 00:02:36.590 Let me scroll down a little bit. 00:02:36.590 --> 00:02:41.590 And so, if I do 28 divided by 125, 00:02:43.189 --> 00:02:45.686 I get 0.224. 00:02:45.686 --> 00:02:48.478 They said round your answers to the nearest hundredth. 00:02:48.478 --> 00:02:51.450 So this is 0.22. 00:02:51.450 --> 00:02:55.065 No accident within the last year, 97 divided by 125. 00:02:55.065 --> 00:03:00.065 So 97 divided by 125 00:03:00.767 --> 00:03:02.966 is equal to, see here if I rounded 00:03:02.966 --> 00:03:05.010 to the nearest hundredth I'm gonna round up. 00:03:05.010 --> 00:03:10.010 0.78, so this is 0.78. 00:03:11.395 --> 00:03:13.988 Then, 35 divided by 139. 00:03:13.988 --> 00:03:18.988 35 divided by 139, 00:03:19.267 --> 00:03:23.566 is equal to, round to the nearest hundredth, 0.25. 00:03:23.701 --> 00:03:25.866 0.25. 00:03:25.985 --> 00:03:28.800 And then 104 divided by 139. 00:03:29.086 --> 00:03:34.086 104 divided by 139, gets me 00:03:35.589 --> 00:03:39.600 if I round to the nearest hundredth, 0.75. 00:03:39.885 --> 00:03:44.885 0.75, then I can check my answer. 00:03:46.061 --> 00:03:47.361 And I got it right. 00:03:47.361 --> 00:03:48.824 But the key thing here is to make sure we 00:03:48.824 --> 00:03:50.078 understand what's going on here. 00:03:50.078 --> 00:03:50.937 So, we could- 00:03:50.937 --> 00:03:53.027 One way to think about this is 22% of the 00:03:53.027 --> 00:03:55.929 Sport utility vehicles had an accident within the last year. 00:03:55.929 --> 00:03:59.273 Or you could say .22 of them. 00:03:59.273 --> 00:04:02.546 And you could say 78% or 0.78 of the 00:04:02.546 --> 00:04:07.546 Sport utility vehicles had no accidents. 00:04:07.608 --> 00:04:10.186 Likewise, you could say 25% of the Sports cars 00:04:10.186 --> 00:04:12.089 had an accident within the last year. 00:04:12.089 --> 00:04:17.012 And 75% did not have an accident last year. 00:04:17.012 --> 00:04:18.753 So, it allows you think more in terms of 00:04:18.753 --> 00:04:21.841 the relative frequencies, the whole, the percentages, 00:04:21.841 --> 00:04:23.374 however you want to think about it. 00:04:23.374 --> 00:04:27.052 While this gives you the actual numbers.