In a boxplot, do Q1 and Q3 mark the boundaries of the interquartile range?

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Prepare for the Praxis Middle School Mathematics Exam with quizzes. Study with flashcards and multiple choice questions. Each question provides hints and detailed explanations. Ensure success on your test!

Multiple Choice

In a boxplot, do Q1 and Q3 mark the boundaries of the interquartile range?

Explanation:
The important idea is that the middle 50% of the data is defined by the first and third quartiles. The interquartile range is the distance from the first quartile to the third quartile, so the box in a boxplot is drawn from Q1 to Q3. That makes the edges of the box the boundaries of the interquartile range, with the median shown inside the box. The whiskers extend beyond the box to show the rest of the data (often up to 1.5 times the IQR away, with outliers plotted separately). So yes, Q1 and Q3 mark the boundaries of the interquartile range.

The important idea is that the middle 50% of the data is defined by the first and third quartiles. The interquartile range is the distance from the first quartile to the third quartile, so the box in a boxplot is drawn from Q1 to Q3. That makes the edges of the box the boundaries of the interquartile range, with the median shown inside the box. The whiskers extend beyond the box to show the rest of the data (often up to 1.5 times the IQR away, with outliers plotted separately). So yes, Q1 and Q3 mark the boundaries of the interquartile range.

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