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Fifty Voters \quad

question 48

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Use the following information to answer Questions
Fifty voters who elect one of the five candidates
-A, B, C, D, or E-have the preference schedule shown below. \quad \quad \quad \quad \quad \quad \quad \quad Number of voters \text { Number of voters }
2014106 First choice ABBC Second choice CAAD Third choice EDCB Fourth choice BCDA Fifth choice DEEE\begin{array} { l c c c c } & 20 & 14 & 10 & 6 \\\text { First choice } & \mathrm { A } & \mathrm { B } & \mathrm { B } & \mathrm { C } \\\text { Second choice } & \mathrm { C } & \mathrm { A } & \mathrm { A } & \mathrm { D } \\\text { Third choice } & \mathrm { E } & \mathrm { D } & \mathrm { C } & \mathrm { B } \\\text { Fourth choice } & \mathrm { B } & \mathrm { C } & \mathrm { D } & \mathrm { A } \\\text { Fifth choice } & \mathrm { D } & \mathrm { E } & \mathrm { E } & \mathrm { E }\end{array}
-Which candidate will be elected using plurality voting?


Definitions:

Median

The middle value in a data set, which effectively divides the dataset into two halves, with one half having values above the median and the other half below.

Mean

The arithmetic average of a set of numbers, calculated by adding them together and dividing by the number of values.

Standard Deviation

A measure of the amount of variation or dispersion in a set of values, indicating how much the values deviate from the mean.

Range

The difference between the highest and lowest values in a set of numbers, indicating the spread or dispersion of the dataset.

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