Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
In a two-way frequency table, the marginal frequencies is the 'total' entry for the row and the 'total' entry for the column
The result of the data organized in a two way table with the marginal frequency included is as follows;
[tex]\begin{array}{|l|c|c|c|}\mathbf{\underline{Device \ Student \ Use}}&\mathbf{\underline{Laptop}}&\mathbf{\underline{Do\ not \ use \ laptop}}&\mathbf{\underline{Total}}\\&&&\\\mathbf{Tablet}&49 &75&\underline{124}\\&&&\\\mathbf{Do\ not \ use \ tablet}&63&97&\underline{160}\\&&&\\\mathbf{Total}&\underline{112}&\underline{172}&284\\&&&\end{array}[/tex]
The reason the above table is correct is as follows:
The known parameters are;
Number of students in the survey, U = 284 students
The number of students that use a laptop, n(L) = 112
The number of students that also use a tablet, T ∩ L = 49
The number of students that do not use a laptop or a tablet, [tex]n(T \cup L)^c[/tex] = 97
Required:
To organize the result of the survey in a two-way table
Solution:
U = [tex]n(T \cup L)^c[/tex] + n(T ∪ L)
Therefore;
n(T ∪ L) = U - [tex]n(T \cup L)^c[/tex]
n(T ∪ L) = 284 - 97 = 187
n(T ∪ L) = 187
The number of students that use only a laptop = n(L) - n(T ∩ L) = 112 - 49 = 63
The number of students that use only a laptop [n(L) - n(T ∩ L)] = 63
n(T ∪ L) = n(T) + n(L) - n(T ∩ L)
n(T) = n(T ∪ L) - [n(L) - n(T ∩ L)]
n(T) = 187 - 63 = 124
The number of students that use only tablets = n(T) - n(T ∩ L) = 124 - 49 = 75
The number of students that use only tablets, [n(T) - n(T ∩ L)] = 75
The results are organized in the attached two way table and the marginal frequencies are the numbers underlined in the totals column
[tex]\begin{array}{|l|c|c|c|}\mathbf{\underline{Device \ Student \ Use}}&\mathbf{\underline{Laptop}}&\mathbf{\underline{Do\ not \ use \ laptop}}&\mathbf{\underline{Total}}\\&&&\\\mathbf{Tablet}&49 &75&\underline{124}\\&&&\\\mathbf{Do\ not \ use \ tablet}&63&97&\underline{160}\\&&&\\\mathbf{Total}&\underline{112}&\underline{172}&284\\&&&\end{array}[/tex]
Learn more about marginal frequencies here:
https://brainly.com/question/16401512
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.
