Ohio Assessments for Educators (OAE) Mathematics Practice Exam

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How is the mode defined in statistics?

  1. The average value of the data set

  2. The middle value when arranged in order

  3. The value that occurs the most

  4. The difference between the highest and lowest values

The correct answer is: The value that occurs the most

The mode is defined as the value that appears most frequently in a data set. It is a measure of central tendency that identifies which value or values occur with the highest frequency, providing insight into the characteristics of the data. For example, in the data set {1, 2, 2, 3, 4}, the mode is 2 because it appears more times than any other value. The correct understanding of the mode highlights its uniqueness compared to other measures of central tendency, such as the mean and median, which are distinctly defined as the average value of the data set and the middle value when sorted, respectively. Understanding the mode is crucial in different contexts, particularly in categorical data analysis where it helps determine the most common category or option selected. By grasping the definition and importance of the mode, one can apply this knowledge to various statistical analyses, enhancing interpretation and insights drawn from data.