What is the Interquartile Range (IQR)?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $25.99Unlock all

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

What is the Interquartile Range (IQR)?

Explanation:
The Interquartile Range shows how spread out the middle half of the data is. It’s the difference between the third quartile and the first quartile: IQR = Q3 − Q1. Quartiles divide the data into four equal parts, with Q1 marking the 25th percentile and Q3 the 75th percentile, so the distance between them is the height of the box that represents the middle 50% of the data. For example, if Q1 is 8 and Q3 is 16, the IQR is 8. Subtracting Q3 from Q1 would give a negative number, averaging Q1 and Q3 gives the center, not the spread, and Q2 − Q1 measures the distance from the first quartile to the median, not the spread of the middle half.

The Interquartile Range shows how spread out the middle half of the data is. It’s the difference between the third quartile and the first quartile: IQR = Q3 − Q1. Quartiles divide the data into four equal parts, with Q1 marking the 25th percentile and Q3 the 75th percentile, so the distance between them is the height of the box that represents the middle 50% of the data. For example, if Q1 is 8 and Q3 is 16, the IQR is 8. Subtracting Q3 from Q1 would give a negative number, averaging Q1 and Q3 gives the center, not the spread, and Q2 − Q1 measures the distance from the first quartile to the median, not the spread of the middle half.

More Multiple Choice Questions
Subscribe

Get the latest from Passetra

You can unsubscribe at any time. Read our privacy policy