Create Box & Whisker Plots with Step-by-Step Derivation
Enter numbers separated by commas
Box Plot
Min
Q1
Median
Q3
Max
IQR
Step-by-Step Derivation
Box Plot Components
Box: Q1 (25%) to Q3 (75%) - contains middle 50%
Median: line inside box at 50th percentile
Whiskers: extend to min/max within 1.5×IQR
Outliers: points outside whiskers
Box plots visualize data distribution and are excellent for comparing multiple datasets.
⚠At least 5 values required for meaningful box plot visualization.
What is a Box Plot?
A box plot (or box and whisker plot) is a standardized way of displaying the distribution of data based on five number summary: minimum, Q1, median, Q3, and maximum.
Whiskers
Extend to minimum and maximum values within 1.5×IQR
Box
From Q1 to Q3, containing the middle 50% of data
Median Line
Vertical line at the median value
Outliers
Individual points beyond the whiskers
💡 Example: Data: 10,12,15,18,20,22,25,28,30,35,50. 50 is an outlier. Box: 15-30, Median: 22.
Applications
Data VisualizationStatisticsData AnalysisQuality ControlResearch
Frequently Asked Questions
What is a box plot?▼
A box plot (box and whisker plot) is a graphical representation of data distribution showing median, quartiles, and outliers. The box shows Q1, median, Q3; whiskers show range.
What do the parts of a box plot represent?▼
Box: Q1 (25%) to Q3 (75%). Line inside box: median (50%). Whiskers: extend to min/max or 1.5×IQR. Points beyond whiskers: outliers.
Why use box plots?▼
Box plots summarize data distribution, compare multiple datasets, identify outliers, and show symmetry/skewness. They are compact and easy to understand.
How are whiskers determined?▼
Whiskers typically extend to the minimum and maximum values within 1.5×IQR of Q1/Q3. Values beyond whiskers are plotted as individual outlier points.
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