0:00:00.512,0:00:03.634 - [Voiceover] The two-way[br]frequency table below 0:00:03.634,0:00:06.386 shows data on type of vehicle driven. 0:00:06.386,0:00:08.103 So, this is type of vehicle driven, 0:00:08.103,0:00:11.355 and whether there was an[br]accident the last year. 0:00:11.355,0:00:13.445 So, whether there was an[br]accident in the last year, 0:00:13.445,0:00:17.020 for customers of All[br]American Auto Insurance. 0:00:17.020,0:00:19.319 Complete the following two-way table of 0:00:19.319,0:00:21.455 column relative frequencies. 0:00:21.455,0:00:22.616 So that's what they're talking here, 0:00:22.616,0:00:25.054 this is a two-way table of[br]column relative frequencies. 0:00:25.054,0:00:28.792 If necessary, round your answers[br]to the nearest hundredth. 0:00:28.792,0:00:30.209 So, let's see what they're saying. 0:00:30.209,0:00:31.741 They're saying, let's see... 0:00:31.741,0:00:35.841 Of the accidents within[br]the last year, 28 were 0:00:35.841,0:00:39.055 the people were driving an[br]SUV, a Sport Utility Vehicle 0:00:39.055,0:00:42.236 and 35 were in a Sports car. 0:00:42.236,0:00:46.625 Of the No accidents in the[br]last year, 97 were in SUV 0:00:46.625,0:00:48.541 and a 104 were in sports cars. 0:00:48.541,0:00:49.832 Another way you could think of it, 0:00:49.832,0:00:52.824 of the Sport utility[br]vehicles that were driven 0:00:52.824,0:00:56.400 and the total, let's see it's 28 plus 97 0:00:56.400,0:00:59.952 which is going to be 125. 0:00:59.952,0:01:03.458 Of that 125, 28 had an[br]accident within the last year 0:01:03.458,0:01:06.194 and 97 did not have an[br]accident within the last year. 0:01:06.194,0:01:11.177 Similarly, you could say[br]of the 139 Sports cars 0:01:11.177,0:01:13.257 35 had an accident in the last year, 0:01:13.257,0:01:15.370 104 did not have an[br]accident in the last year. 0:01:15.370,0:01:18.156 So what they want us to[br]do is put those relative 0:01:18.156,0:01:20.292 frequencies in here. 0:01:20.292,0:01:22.243 So the way we could think about it. 0:01:22.243,0:01:24.077 One right over here, this represents 0:01:24.077,0:01:26.468 all the Sport utility vehicles. 0:01:26.468,0:01:27.745 So one way you could think about, 0:01:27.745,0:01:30.346 that represents the whole[br]universe of the Sport Utility 0:01:30.346,0:01:35.022 Vehicles, at least the[br]universe that this table shows. 0:01:35.022,0:01:38.356 So, that's really representative[br]of the 28 plus the 97. 0:01:38.356,0:01:40.400 And so, in each of these we want to put 0:01:40.400,0:01:41.604 the relative frequencies. 0:01:41.604,0:01:43.342 So this right over here is going to be 0:01:43.342,0:01:48.311 28 divided by the total. 0:01:48.311,0:01:51.475 So over here is 28,[br]but we want this number 0:01:51.475,0:01:52.799 to be a fraction of the total. 0:01:52.799,0:01:56.305 Well the fraction of[br]the total is gonna be, 0:01:56.305,0:02:00.229 28 over 97 plus 28. 0:02:00.229,0:02:03.642 Which of course is going to be 125. 0:02:03.642,0:02:06.173 Actually let me just write[br]them all like that first. 0:02:06.173,0:02:11.173 This one right over here[br]is going to be 97 over 125. 0:02:11.304,0:02:13.115 And of course, when you[br]add this one and this one, 0:02:13.115,0:02:14.782 it should add up to one. 0:02:14.782,0:02:19.570 Likewise, this one's[br]going to be 35 over 139. 0:02:19.570,0:02:21.231 35 plus 104. 0:02:21.231,0:02:23.550 So, 139. 0:02:23.550,0:02:28.550 And this is going to be[br]104 over 104 plus 35. 0:02:28.695,0:02:30.692 Which is 139. 0:02:30.692,0:02:33.293 So, let me just calculate[br]each of them using 0:02:33.293,0:02:34.291 this calculator. 0:02:34.291,0:02:36.590 Let me scroll down a little bit. 0:02:36.590,0:02:41.590 And so, if I do 28 divided by 125, 0:02:43.189,0:02:45.686 I get 0.224. 0:02:45.686,0:02:48.478 They said round your answers[br]to the nearest hundredth. 0:02:48.478,0:02:51.450 So this is 0.22. 0:02:51.450,0:02:55.065 No accident within the last[br]year, 97 divided by 125. 0:02:55.065,0:03:00.065 So 97 divided by 125 0:03:00.767,0:03:02.966 is equal to, see here if I rounded 0:03:02.966,0:03:05.010 to the nearest hundredth[br]I'm gonna round up. 0:03:05.010,0:03:10.010 0.78, so this is 0.78. 0:03:11.395,0:03:13.988 Then, 35 divided by 139. 0:03:13.988,0:03:18.988 35 divided by 139, 0:03:19.267,0:03:23.566 is equal to, round to the[br]nearest hundredth, 0.25. 0:03:23.701,0:03:25.866 0.25. 0:03:25.985,0:03:28.800 And then 104 divided by 139. 0:03:29.086,0:03:34.086 104 divided by 139, gets me 0:03:35.589,0:03:39.600 if I round to the nearest hundredth, 0.75. 0:03:39.885,0:03:44.885 0.75, then I can check my answer. 0:03:46.061,0:03:47.361 And I got it right. 0:03:47.361,0:03:48.824 But the key thing here is to make sure we 0:03:48.824,0:03:50.078 understand what's going on here. 0:03:50.078,0:03:50.937 So, we could- 0:03:50.937,0:03:53.027 One way to think about this is 22% of the 0:03:53.027,0:03:55.929 Sport utility vehicles had an[br]accident within the last year. 0:03:55.929,0:03:59.273 Or you could say .22 of them. 0:03:59.273,0:04:02.546 And you could say 78% or 0.78 of the 0:04:02.546,0:04:07.546 Sport utility vehicles had no accidents. 0:04:07.608,0:04:10.186 Likewise, you could say[br]25% of the Sports cars 0:04:10.186,0:04:12.089 had an accident within the last year. 0:04:12.089,0:04:17.012 And 75% did not have[br]an accident last year. 0:04:17.012,0:04:18.753 So, it allows you think more in terms of 0:04:18.753,0:04:21.841 the relative frequencies,[br]the whole, the percentages, 0:04:21.841,0:04:23.374 however you want to think about it. 0:04:23.374,0:04:27.052 While this gives you the actual numbers.