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For the following data construct a frequency distribution; showing lower and upper class limits, frequency, cumulative frequency; relative frequency; cumulative rel...

Question

For the following data construct a frequency distribution; showing lower and upper class limits, frequency, cumulative frequency; relative frequency; cumulative relative frequency and midpoints. Use 6 intervals_ 10,13,14, 15,16, 19, 22 , 23,25, 28, 29, 33, 37, 39, 42, 47 , 48, 54, 55, 59, 62 , 69, 75, 78, 81 .2. Astudy was done on a new pain medication in which a sample 35 arthritis patients were given a new drug and another sample of 35 arthritis patients were given a placebo. They were then as

For the following data construct a frequency distribution; showing lower and upper class limits, frequency, cumulative frequency; relative frequency; cumulative relative frequency and midpoints. Use 6 intervals_ 10,13,14, 15,16, 19, 22 , 23,25, 28, 29, 33, 37, 39, 42, 47 , 48, 54, 55, 59, 62 , 69, 75, 78, 81 . 2. Astudy was done on a new pain medication in which a sample 35 arthritis patients were given a new drug and another sample of 35 arthritis patients were given a placebo. They were then asked to rate their amount of pain an hour after taking their pills. Is this an experimental or an observational study:



Answers

Construct a frequency distribution and a frequency histogram for the data set using the indicated number of classes. Describe the shape of the histogram as symmetric, uniform, negatively skewed, positively skewed, or none of these. Number of classes: 6 Data set: The number of days 20 patients remained hospitalized. $$\begin{array}{rrrrrrrrrr} 6 & 9 & 7 & 14 & 4 & 5 & 6 & 8 & 4 & 11 \\ 10 & 6 & 8 & 6 & 5 & 7 & 6 & 6 & 3 & 11 \end{array}$$

Hey, so for this problem, we were given data set and asked to make a frequency distribution of it. So I will draw two different columns here. Yeah, okay. And we were given the last digits of students Heights. So I'll make a column called the Heights, and then the other one will be the frequency of those heights. So if we look at the lasted digits of the heights, we can see that we have all the digits there, zero through nine. So let's make our different classes for them. Just read those down, and then the frequency will just be the number of times that those digits appear, so we'll just have to count those. So there are nine zeros. There are two ones. 12 There's three threes. 14 15 fives, then two sixes. Seven. Doesn't appear it all than an eight appears three times and nine appears once. Okay, so then the second part of this question asks us to, um they ask if this data looks like it's measured or is given by the students. So if we look at the frequencies of these data because they're just heights, we just we don't expect one number to appear more than the others. But if we look here, we can see that there's a lot more zeros and a lot more five than any other digit there. So, um, to me that says that the heights were likely rounded to the nearest zero or five. Um so, um, there we can Therefore, we can fairly say that the status probably not accurate if the students are just rounding their heights. And then therefore it was also not measured was reported by the students. We have not measured and not accurate because it was not measured, and it seems like the students just rounded their heights.

In giving data 30 males. Height is given. We have to draw other hissed a gram off. Given data for that, we will make or table with class. Interval one. Andi will take fight glasses. Now we will find the midpoint off class hill midpoint off class is lower limit place upper limit by two. 62 plus 64 by two is 63 65 plus 67 by to a 66 68 plus 70 by to a 69 71 plus 72 three by two is 72 74 plus 76 by two is 75. Now we will find frequency off giving data. Hell, three males are there between 62 to 64 inches. Height. Seven males are there between 65 to 67 inches. Height. Nine males are there between 68 to 70 inches. Height. Eight meals are there between 71 to 73 inches. Height. Three males are there between 74 to 76 inches Height. Now we'll draw a graph. We will take frequency on y axis. Height in X axis Soul one to three full. Five, six, seven, eight, nine So it is not frequency on on my access, we will take height. We will take it as midpoint. So 63 66 69 72 75. It is the height in inches. Her three males out there between 62 to 64 inches height. Then seven males are there between yeah, 65 to 67 in just height. Okay, nine males are there between 68 to 70 inches. Height. Eight males are there between 71 to 73 inches height. Then three males are there between 74 to 76 inches. So growth is looking like symmetric.

Okay. In this problem Out frequency distribution. We have to use the following data set to construct the frequency distribution table and frequently used to grant. So here are the number of classes given us five. But so now we first find a class with okay class, but is equal to the range it divided by a number of classes. Your range will be the maximal impurities 51. Okay, minus the minimum value study job divided by the number of clauses spied. So this will be worse 19 by five which is approximately equal Told folk now will construct out envelope Okay, complete to it's e equals Exe, tweeted. Now the class starts with 13 to it is with the kitchen, I think, and the class with this fall. But since the classes do not overlap, the, uh parliament will be 35. Then global limit of the second class 36 job. There's three that is a glass with minus one Should be 39 42 43 44 2, 47 48 to 51. Angry. Now let's find the frequencies which was attended by ads. So from 30 to 35 it is one Jordan and three 36 to 39. Valiant. Really so screaming. Closed crimes. It's six seven. They should. Nine. 42. 43. Okay, one student, 345 It's six 78 44 to 40 seven one period. Thank three for the age of the Cuban. It's just one. Now you have to find up my point. So the equation from a point is okay. Global class limit less A core class limit divided by two. So here it's 32. Place 37 to 67 divided by two. Just 13 green on in five, 6, 30 and 26%. 39 by two. That is nothing but 15. 7.5. We see the subsequent classes. That is the difference between the consecrating classes. The point of the consecrated classes. It's nothing, but the class would begin this on that last week. Okay, okay. The question to give them this from the point of the next class. So 37.5 class four. Just nothing but 41 point forward, which is also equal to adults, not a classroom. There's no class meant by $2. 40 with 43 by Drew 83 by two, which is 41.5 from, You know, we'll just add food. 45.5 in Saudi, nine point five. So, if you are, you see the summation. What is the sample size? I was going to be training. Sold, as in the study, off pungency is pungent sizzles. 24. Yeah, that I still rivers. Now we have to find a later frequency. Okay? Yeah. Backwards chop. So just nothing but strongest frequency. Diversified assembly size. So united frequency can be it. It's We went to class frequency, divided by sample size. Yours. It is straining thought. Simply. See this between by 20 fold for the first class of the three by 24 which is 0.1 to 5. It's right. Well, nine by 20 throws. Okay, which is point the 75 85 24 mhm were appointed 33 sales. Thanks. It's state. By turning sold, they probably went outside. E were just my life. We thought Yeah, certain Vonage. Yeah, it zillion sport control it. So we add this will get that this summation if by n is equal to we add this you just get one So now the cumulative frequency. Nothing but some off the frequency off that class and all previous classes. Yeah, Mhm. So for the first class, it is just the first classes frequency, which is three for the second class. It is nine plus three, just 12. So the top line is the best. Number three or a 12 to strengthen the for class 23 to 23 don't you? So dark, cumulative frequency off the last class will be the sample size. Now we have to constrict that his program responding to this data sick. So make from bad this with the table for 30 to 35 class, the frequency is three. So the artist green and 36 to 39 given one tonight under age. So sorry to 43. So finally we have to describe any pattern. Or we can just see where the pungency zor more. So most of the pungency is or between that basics, truth between 36 43. So we can provide those ads like, expected most off the pungency lose. Probably think Chris 26. And for pick three 1000 years old. It's all right. Mhm. It's common. Lived. Perhaps it's what? Mhm. Okay,

At least problem off frequency distribution. We have to use this frequency distribution table to find the class with classmate points. Okay, class boundaries. Given frequencies, the high temperatures frequencies for the high temperature ranges. Do we have to find class? Good points? Yeah. New class. Don't things? Yeah. First, we we can't believe that class wit class with will be. By the definition, it is a distance between us. The poor limits upper or lower limits off consecrated classes. So if we see save the day global limits of the conservative pluses we see the difference is 11th, therefore is going to be 31 minus 20. Say, which is going to be 11 or we can just calculated by the upper, not some data entry. There is 96 minus 20. That is a minimum data's data entry. Do I buy the number of classes? The seventh to the standpoint date. The next convenient number will be 11. So that the class with this level now we have to find a midpoint. The midpoint can be calculated by adding the lower class limit. That is my point equation. Is the point of the film too lower class limit Yeah. Place Popular's limit. Delighted bite. Therefore, here it is. Lower classes 20 and thirties upper classes 30 Developed by 2025. Similarly, that even place 40 to 41. Divided by two. That is 72 by two 36 94 by two, which is 47 53 less, 63 by two, 116. By truth, that is. 58 60 focus and D four bedroom with a 69 75 85 close to just 80. Finally, just 91. You see the difference. The consequent values. We're also going to be there class with now. To find the class boundaries, we have to subtract the lower class limit with this lower class boundary. Zeke Winter Lower class limit minus 0.5. Similarly, after class boundary is equal to after plans limit. Let's zero point I. So if we do that, we'll get 20 minus 200.5, 19.5 2 30 less 0.5 30 points Fight. Similarly, we can do for the rest, that is 30.5, and it is complete with there is no gap to 30.5 to 41.5 41 points. Siding speaking point, died escaping from inside. 63.5, 63.5 to 74.5. We'd 74.5 until 85 on five. 85.5. 96 point. Yeah. Are you so


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