Ohio Assessments for Educators (OAE) Mathematics Practice Exam

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How are quartiles defined in a data set?

They divide the data set into three equal parts.
They represent quarter sections of the data.
They indicate the maximum and minimum values only.
They are used to find the mean of the data set.

The correct answer is: They represent quarter sections of the data.

Quartiles are a statistical measure that divides a data set into four equal parts. This division helps to understand the distribution of the data by identifying how the values are spread. The first quartile (Q1) cuts off the lowest 25% of the data, the second quartile (Q2) is the median or the middle value, and the third quartile (Q3) marks the lowest 75% of the data. By representing quarter sections, quartiles provide a clear method of summarizing and analyzing the data set, allowing for better insight into its characteristics, such as its dispersion and center. This is why the definition of quartiles as quarter sections of the data is accurate and essential in statistical analysis.