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2004 Presidential Election An exit poll was conducted in Los Alamos County, New Mexico, in which a random sample of 40 voters revealed whom they voted for in the presidential election. The results of the survey are shown below. Determine the mode candidate. $$\begin{array}{lllll} \text { Kerry } & \text { Kerry } & \text { Bush } & \text { Bush } & \text { Bush } \\ \hline \text { Bush } & \text { Kerry } & \text { Kerry } & \text { Bush } & \text { Bush } \\ \hline \text { Kerry } & \text { Bush } & \text { Kerry } & \text { Bush } & \text { Kerry } \\ \hline \text { Bush } & \text { Bush } & \text { Kerry } & \text { Kerry } & \text { Nader } \\ \hline \text { Kerry } & \text { Bush } & \text { Bush } & \text { Kerry } & \text { Kerry } \\ \hline \text { Badnarik } & \text { Kerry } & \text { Bush } & \text { Bush } & \text { Bush } \\ \hline \text { Bush } & \text { Bush } & \text { Bush } & \text { Bush } & \text { Kerry } \\ \hline \text { Kerry } & \text { Kerry } & \text { Kerry } & \text { Bush } & \text { Bush } \end{array}$$

Step by step solution

01

- List the Candidates

Identify all the candidates that appear in the survey results: Bush, Kerry, Nader, and Badnarik.

02

- Count Each Candidate's Votes

Go through the table and count the number of times each candidate's name appears:- Bush: 18 votes- Kerry: 17 votes- Nader: 1 vote- Badnarik: 1 vote

03

- Identify the Mode

The mode is the value that appears most frequently in a data set. In this case, the candidate with the highest number of votes (the most frequent) is Bush with 18 votes.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

mode calculation in statistics

The mode is a key concept in statistics used to identify the most frequently occurring value in a data set. In easier terms, it's the value that appears the most. For example, if we have a data set: (2, 3, 3, 5, 7), the mode is 3 because it appears more than any other number.
Knowing the mode helps in various real-world scenarios, such as understanding common trends, preferences, or frequently occurring events.

frequency distribution

In statistics, a frequency distribution lists each value in the data set alongside how often each value occurs. This helps to visualise and analyse the data more effectively. For the given exercise, the frequency distribution is:

• Bush: 18 votes
• Kerry: 17 votes
• Nader: 1 vote
• Badnarik: 1 vote

This reveals that 'Bush' appears the most frequently in the exit poll, making him the mode.
Another benefit of frequency distribution is that it helps to quickly identify patterns and outliers in the data.

exit poll analysis

Exit poll analysis is a common way to predict the outcome of an election. It involves surveying voters as they leave polling stations to find out whom they voted for. This data can be used to predict which candidate might win, well before the official results are announced.
In the given exercise, an exit poll was conducted in Los Alamos County during the 2004 Presidential Election. The kind of insights drawn from such exit polls can be critical for understanding voter behavior and preferences across different regions.
Exit polls also contribute to learning about voting patterns and demographics.

categorical data analysis

Categorical data analysis involves examining and interpreting data that can be divided into distinct categories, where the order does not matter. Common examples include race, gender, or in this case, candidates voted for in an election.
The data from the exit poll in the exercise, 'Bush', 'Kerry', 'Nader', and 'Badnarik', are categorical because they fall into distinct, non-numeric categories. Analyzing such data involves techniques like counting frequencies (mode), building charts or tables, and finding patterns.
Categorical data analysis is powerful in the fields like political science, market research, and sociology for understanding trends and making informed decisions.