From beginner to expert, IDNLearn.com has answers for everyone. Ask your questions and get detailed, reliable answers from our community of knowledgeable experts.
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
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. IDNLearn.com has the solutions you’re looking for. Thanks for visiting, and see you next time for more reliable information.
