Use the Following Information to Answer the Questions -For Two Candidates a and B with Distinct Policy Positions

question 47

Short Answer

Use the following information to answer the Questions.
Consider the following distribution of 33 voters at eight different positions over the interval [0,1]. $$\begin{array} { | l | c | c | c | c | c | c | c | c | c | } \hline \text { Position } & 0.1 & 0.2 & 0.3 & 0.4 & 0.5 & 0.6 & 0.7 & 0.8 & 0.9 \\\hline \begin{array} { l } \text { Number of } \\\text { voters }\end{array} & 6 & 2 & 2 & 1 & 1 & 2 & 2 & 4 & 1 \\\hline\end{array}$$
-For two candidates A and B with distinct policy positions 0.3 and 0.75, respectively, find the number of votes for the candidate B based on voter's ideal positions.

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Definitions:

Mode

In statistics, the value that appears most frequently in a data set; in common usage, a way or manner in which something occurs or is experienced, expressed, or done.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values.

Mean

A numerical metric that denotes the central value of a numerical array, determined by summing all the elements in the array and then dividing by the count of those elements.

Internal Reliability

A measure of consistency among multiple items or parts of a test or measurement tool.