Ohio Assessments for Educators (OAE) Mathematics Practice Exam

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Which of the following describes how quartiles divide a data set?

Into three equal parts
Into four equal parts
Into two equal parts
Into ten equal parts

The correct answer is: Into four equal parts

Quartiles are a statistical concept used to divide a data set into four equal parts. Each quartile represents a specific portion of the data, allowing for a detailed understanding of its distribution. The first quartile (Q1) marks the 25th percentile, meaning that 25% of the data falls below this value. The second quartile (Q2), also known as the median, divides the data set into two equal halves, with 50% of the data on either side. The third quartile (Q3) indicates the 75th percentile, with 75% of the data below this value. By dividing a data set into four quartiles, it becomes easier to analyze the central tendency and spread of the data, as well as identify any outliers or variability. Understanding this method of organization helps in statistical analyses and interpreting data in various real-world contexts.