Statistics
Five Number Summary Calculator
Use this five-number summary calculator to turn a raw data list into the standard box-plot summary.
Separate values with commas, spaces, or semicolons.
Five-number summary
—
- Count
- —
- Mean
- —
- Minimum
- —
- Maximum
- —
- Range
- —
- Q1
- —
- Median
- —
- Q3
- —
- IQR
- —
Student quick launch
Grade planning, algebra checks, and formulas students reach for most.
Study path
Use this calculator with
Follow these when you want the formula behind the answer, a short lesson, or nearby tools in the same topic.
What the five number summary calculator solves
Use this five-number summary calculator to turn a raw data list into the standard box-plot summary.
Formula
How to use it
- Enter a dataset as numbers separated by commas, spaces, or semicolons.
- Choose sample or population when the statistic uses a different denominator.
- Use the sorted data, count, mean, and work lines to check the result.
How to read the answer
The five-number summary shows the low end, lower quartile, middle, upper quartile, and high end of the data. It is the backbone of a box plot.
Common mistakes and edge cases
- Sort the data before finding quartiles.
- Quartile methods vary by class or software; this calculator uses linear interpolation.
- Do not treat the IQR as the full range.
Worked examples
Even count data
Five-number summary
min 2, Q1 6.25, median 9, Q3 14.25, max 21
With a high value
Five-number summary
min 3, Q1 5, median 8, Q3 9.5, max 30
Too little data
Five-number summary
Error
Frequently asked questions
What is in a five-number summary?+
It includes the minimum, first quartile, median, third quartile, and maximum.
Is a five-number summary the same as a box plot?+
A box plot is a graph built from the five-number summary, often with IQR-based outlier rules added.
Related calculators
Interquartile Range Calculator
Calculate Q1, median, Q3, and interquartile range from a data list.
Mean Median Mode Range Calculator
Find mean, median, mode, range, count, sum, minimum, and maximum for a list of numbers with sorted values and steps.
Percentile Calculator
Find a percentile value from a data list using linear interpolation.
Binomial Probability Calculator
Calculate exact binomial probability for k successes in n independent trials.
Coefficient of Variation Calculator
Calculate coefficient of variation from a data set using standard deviation divided by mean.
Correlation Coefficient Calculator
Calculate Pearson correlation coefficient r from paired x and y data.
Last updated: May 15, 2026