Hey there for this question we are given 50 did oppose, which are the one with distances from home to college for those 50 students on gay. In a first question eight, we need to construct a group frequency distribution of the data on Dhere. We already given once before as our first category or first class. That's We can easily imagine that the rest of these concepts will be we. Why 28 right? Because we have 1 to 4 four minutes wanted Street. Thus for next Category five plus recalls eight. And we have nine Basri because 12 the 13 plus three Because 16 17 plus three Because 20 and so on, we can see that the largest number of data set is 27. So that's just that up somewhere. Numbers on two week and 27. So we have 21 plus free. You goes 20 or then on the par three because 48 Okay, so I think we can't stop here, and it is our classes or our category. It's on. That's just computed frequency. Or how many points are there? Belonged to each. Rivers have been also each category. Okay, so that's first revealed it up was within 1 to 4. Let's just go with the points row by row. In our first real we have won 312111 street. So we have in total 40 up was here in the first row. The stubble? Yes, we're unless wants. The second way have is their numbers here that have between 1 to 4. And for our certain bro, we have 14 only. So it is one and you know force rule. We have 13 So is only one, you know, last room we have Okay. So again, with a while for here. So in total way have cell numbers, we'd be wonderful. Rest here it's pregnancy. This is okay. That's well, it's our second out of work while to eight. That's do reviews it up was a row by row. First role. We have far 66 So street in a points then you know second role we have five, 5858 So to get up force and the you know a certain role We have zeroed it up once, you know, before Stroll, we have 65 on selling that is rated up and industrial, we have 5878 So it's four numbers. Okay. Eso in total we have here Trump better boots, five glasses free eight before. So we have helped enough center for our circa 19. So that's first Will be our first nice. Okay, there's first. And you know Secondly, we have 10 9 10 9 So we have a little four months and, you know, sir, we have 9 10 cents. Will have no first force. Really have 9 11 10 So we have for my reports. There are not stroll. We have. Let's see. Noted up was right between ni and so zero again. So we have working. Been upwards inside the school. Okay, that's walks over. NextCard wished 13 to 16 1st rule. We have second rule. We have off working. 14 16 16. So it's street in our certain room. We have 15 only and, you know, forced roles. We have way. Don't have numbers here. A stroll. You have searching and searching. Okay, so I guess 88 All right. Our next category selling into 21st rodeo. Have any numbers in our second road? Uh, we do not have any number, you know, certain rules. We have plenty. Okay. Only one hunting stories. One you know, force rule. We have, uh, only 17 once again and our mass roles, we have plenty and 18 in this country. Okay, so for our next Edward for the one month before, you know, first truly one 11 So we have one only. So it's another one. You know, Force through way have nothing here in our monstro. We have 22. So it's another one in order. Last Khyber 48. I think we only have one that up months in our survey, which is 27 That belongs to this kind of. For the rest, they are all gold putting fire. So here we only I wanted just to double track. Let's add up all of these numbers to see if the attack 2 50 1914 equals soothe. Okay, first question or it is our group frequency distribution. Okay, that's no move on to the next. It is be It asks us to congregate and me on the standard deviation. Let's compute the mean first way have in total 50 their boats so mean it's simply 15 here this summer, all of numbers which is why, plus six plus five. Three Street right here, first road and lost second role for 5 16 on the survey. That's four strong way all of this shooting 50 numbers up and wanted by it. That's we get our mean another complication. E guess to be the meat off the dinner. Let's not compute this kind of deviation. It is actually the square root off the bears. So a computer beers and what is a very, uh, what is a form it off of your? It is simply expectation. Off acts or I'll get awards milers. Expectation of axe on. We have so for a temple in our first let's review our first it upon six. So So we have six minus. That means authorities outputs, which is 1.9 and right, so it is our first it up. What about our second war? Our second in the first round? It is five. So, again, five minus the meat or simple square off. We need to get the expectation or the mean off the all of these numbers I got. You offer media really formula here, So it's that easy, but way have in total picked it up was here. So the competition is kind of complicated, to be honest. So we just had a reason the rest onto our lots that have haunted just 18 minus and mean. IHS, it's important. Not this man. Okay, so we were It is a quantity inside a square root or the expectation off this summation here. So it is all very and after computation, get the foreign numbers, which is 30 salmon on 61. So our standard deviation is just the square root of mirrors, which is six points once re you seven approximately. Okay, now that's will mark your words, sir. Question. We need to compute axe. The mean off that's minus or plus to study. Deviations and the determining hole are the percent of that. Everything the rent off this So it's just, uh let's rewrite it. Being offense. Miners to us. Coma me a best in class as a brand of data it is. You call chew 10.9 minus two times 6.1 street to seven coma Temple night plus two times 6.13 to 7. It's just Well, that's it. That's brought it. You don't That's role here for more space. It's just minus one point before five for Oklahoma. 23 point. Once it's fuss. Why for Okay, so it is our wrench. And we need to compute the percent of their waiting this lunch at Crisfield you because you know that inside that this point is less, son less that there. But all of our data points are great. Zero. So we just need to do here in the upper point, which is 23 points. 16 here because we have, uh, this group frequency distribution way know that there's wanted a point that is above this number, but we need to check the numbers between below industry. So, you know, first rule we have their numbers here above for this read. Oh, sorry. I think we have wanted upon Evolved. You know, second rule, we have zero. About 23.16. Okay. You know, several. We have wanted upwards, which is 27 you know, fourth row and industrial. I don't think we have any more numbers. Evolved kind of three. So we have just for double check. I think so little. We have only two numbers evolved industry, so way know that 15 minus two because 48. Which means that 48 members all so but its report 16 and above, minus one for 36 called They're all boats. So 10% of data should be 48 or 50 because 96%. So they are not a six point there, 96% of their withing This this right here. What is the two standard deviation off? That's all this question.