Distribution
Q-Q Plot
Compares a distribution against a theoretical distribution (e.g. normal) point by point.
Normal Q-Q Plot
Checking normality of 50 exam scores
View data (50 rows)
| Value |
|---|
| 38 |
| 41 |
| 43 |
| 45 |
| 46 |
| 47 |
| 48 |
| 49 |
| 50 |
| 51 |
| 52 |
| 52 |
| 53 |
| 54 |
| 54 |
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| 69 |
| 70 |
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| 75 |
| 77 |
| 79 |
| 82 |
Use a q-q plot when…
- Checking if data follows a normal distribution
- Comparing two distributions
- Statistical diagnostics
Avoid when…
- Non-technical audiences
- When distribution shape is the primary story
- Fewer than ~10 data points (the line is unreliable)
Data it needs
| Property | Value |
|---|---|
| Min Rows | 10 |
| Min Columns | 1 |
| Column Types | number |
Visual anatomy
Marks
circleline
Channels
position-xposition-y
Axes
x-theoretical quantilesy-observed quantiles
Guiding principles
Common mistakes
Misinterpreting deviations from the reference line
Too few data points for meaningful comparison
History
Developed by Wilk and Gnanadesikan in 1968 for distribution comparison.
Accessibility notes
Provide a mean / median / skewness / kurtosis summary table as the text alternative — generic 'summary statistics' alone underspecifies the diagnostic.
Related reading
Got data? Let's see what works.
Drop your CSV. You'll get a Q-Q Plot plus four alternatives - ranked by which one actually fits your data best.