Box Plot Worksheet Generator
Create unlimited free box plot worksheets (also called box and whisker plot worksheets) with live-computed answer keys. Master the five-number summary, quartiles, interquartile range (IQR), and Tukey's 1.5×IQR outlier fences.
Generate Box & Whisker Plot Practice Handouts
Customize grade level and question count, or enter a saved seed to regenerate an identical classroom assignment.
Dot Plot Practice Worksheet
Directions: Read each real-world context carefully. Graph the dataset on the grid provided, then show all mathematical calculations to answer the questions in the space provided.
What This Box Plot Worksheet Covers
Box plots summarize quantitative data distributions using five critical reference points known as the five-number summary. Our generator adapts calculation depth across educational levels:
Five-Number Summary
Aligns with CCSS.MATH.CONTENT.6.SP.B.4. Students order numerical datasets to identify the Minimum, First Quartile (Q1 / 25th percentile), Median (Q2 / 50th percentile), Third Quartile (Q3 / 75th percentile), and Maximum.
Interquartile Range (IQR) & Spread
Aligns with CCSS.MATH.CONTENT.HSS-ID.A.2. Students calculate the IQR (IQR = Q3 - Q1), representing the spread of the middle 50% of the data, and compare variability between groups.
Tukey 1.5×IQR Fences & Outliers
Aligns with CCSS.MATH.CONTENT.HSS-ID.A.3 and AP Statistics Unit 1. Students calculate the lower fence (Q1 - 1.5 × IQR) and upper fence (Q3 + 1.5 × IQR) to identify mild and extreme outliers.
Need a comprehensive walkthrough of Tukey's outlier fences? Read our complete how to find outliers guide for worked formulas and step-by-step spreadsheet rules.
Example Question & Worked Solution
Here is a sample problem demonstrating the complete five-number summary calculation and modified box plot construction:
Problem Context: Daily Commute Times (Minutes) for 12 Commuters
Student Task: Find the five-number summary, calculate the IQR, determine the 1.5×IQR outlier fences, and construct the modified box plot.
Worked Solution:
- Sorted Data (N = 12): 12, 15, 18, 20, 22, 25, 28, 30, 32, 35, 38, 62
- Minimum: 12 minutes
- Q1 (Lower Half Median: 12, 15, 18, 20, 22, 25): (18 + 20) / 2 = 19 minutes
- Median (Q2: Middle of 12 numbers): (25 + 28) / 2 = 26.5 minutes
- Q3 (Upper Half Median: 28, 30, 32, 35, 38, 62): (32 + 35) / 2 = 33.5 minutes
- Maximum: 62 minutes
- Interquartile Range: IQR = 33.5 - 19 = 14.5 minutes
- Lower Fence: 19 - 1.5(14.5) = 19 - 21.75 = -2.75 minutes
- Upper Fence: 33.5 + 1.5(14.5) = 33.5 + 21.75 = 55.25 minutes
- Outlier Identification: 62 falls above the upper fence (55.25), so 62 is an outlier. The upper whisker terminates at 38 (the highest non-outlier value), with 62 plotted as an isolated dot.
Check Your Work Interactively
Verify Your Plots in Our Free Box Plot Maker
Paste your numbers straight from the worksheet to verify your five-number summary, check outlier toggles, and view dynamic horizontal or vertical box plots.