How to Draw and Read a Box Plot
Learn how to draw and interpret box plots, including quartiles and interquartile range (IQR). Let’s get started! 🚀

Video Lesson
Watch and learn the basics

Flashcards
Review key concepts visually
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🛎️ What Is a Box Plot?
- A box plot shows the distribution of a data set.
- It highlights the spread and middle of the data clearly.
🛎️ Creating a Box Plot
- Find the minimum, Q1, median (Q2), Q3, and maximum values.
- Draw a box from Q1 to Q3 with a line at the median.
🛎️ Interpreting a Box Plot
- The interquartile range (IQR) is Q3 − Q1 and shows the middle 50%.
- The range is maximum − minimum and shows the full spread.
Practice Questions
Test your understanding
Consider the following boxplot. What is the range represented by the boxplot?

Correct! 🎉 +10 pointsNot quite right
The range is the difference between the maximum value (80) and the minimum value (20): .
Consider the following boxplot. What is the interquartile range (IQR) represented by the boxplot?

Correct! 🎉 +10 pointsNot quite right
The interquartile range is the difference between and . From the boxplot, and , so .
Consider the following boxplot. What is the median represented by the boxplot?

Correct! 🎉 +20 pointsNot quite right
The median is shown by the line inside the box, which corresponds to the value 50 on the scale.
In the box plot, the middle 50% of the data lies between which two values?

Correct! 🎉 +20 pointsNot quite right
The middle of the data lies between and . From the boxplot, these are 30 and 60.
What percentage of the data lies between (30) and the maximum value (80)?

Correct! 🎉 +20 pointsNot quite right
From to accounts for of the data, and from to the maximum accounts for another . Together, this makes .
Consider the following dataset: . Which of the following box plots correctly represents this dataset?
Correct! 🎉 +30 pointsNot quite right
The minimum value is 10 and the maximum is 80. The median is 40. The lower half () has a median of 20 giving . The upper half () has a median of 70 giving .
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Interactive Activity
Drag the data points to understand how to read a Box Plot
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