Students in a Political Science course were asked to describe their politics as Liberal,Moderate,or Conservative. Here are the results: S e x Politics Liberal Moderate Conservative Total Female 45 49 12 106 Male 64 53 25 142 Total 109 102 37 248 \begin{array}{l}Sex\begin{array}{l}\begin{array} { | l | c c c | c | } & & ext { Politics }\\\hline & ext { Liberal } & ext { Moderate } & ext { Conservative } & ext { Total } \\hline ext { Female } & 45 & 49 & 12 & 106 \ ext { Male } & 64 & 53 & 25 & 142 \\hline ext { Total } & 109 & 102 & 37 & 248 \\hline\end{array}\end{array}\end{array} S e x Female Male Total Liberal 45 64 109 Politics Moderate 49 53 102 Conservative 12 25 37 Total 106 142 248 Which graphical display shows the marginal distribution of politics in the class?I II III A) IIIB) IIC) ID) I,II,IIIE) None of these displays show the marginal distribution of politics in the class.

Question

Students in a Political Science course were asked to describe their politics as Liberal,Moderate,or Conservative. Here are the results:   S e x  Politics   Liberal   Moderate   Conservative   Total   Female  45 49 12 106  Male  64 53 25 142  Total  109 102 37 248 \begin{array}{l}Sex\begin{array}{l}\begin{array} { | l | c c c | c | }  & & 	ext { Politics }\\\hline  &  	ext { Liberal }  &  	ext { Moderate }  &  	ext { Conservative }  &  	ext { Total } \\hline 	ext { Female }  &  45  &  49  &  12  &  106 \	ext { Male }  &  64  &  53  &  25  &  142 \\hline 	ext { Total }  &  109  &  102  &  37  &  248 \\hline\end{array}\end{array}\end{array} S e x  Female   Male   Total  ​  Liberal  45 64 109 ​  Politics   Moderate  49 53 102 ​  Conservative  12 25 37 ​  Total  106 142 248 ​ ​ ​ ​   Which graphical display shows the marginal distribution of politics in the class?I  II  III  A) IIIB) IIC) ID) I,II,IIIE) None of these displays show the marginal distribution of politics in the class.

DOMINIC DUKER · Accepted Answer

Final Answer : C, Explanation :  The bar graph in option C shows the marginal distribution of politics in the class. The x-axis displays the three categories - Liberal, Moderate, and Conservative, and the y-axis displays the frequency or count of students in each category. Therefore, this graph represents the marginal distribution of politics in the class. Option A and Option B do not show the marginal distribution of politics and Option D includes all the graphs, which is not necessary as we only need one graph to display the marginal distribution.

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