MasterTool

Five Number Summary Calculator

Calculate five number summary using your data.

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What this tool does

Calculate five number summary using your data. Quartiles use linear interpolation (type-7). The five-number summary is exactly what a box plot draws.

How to use the Five Number Summary Calculator

  1. Enter or select numbers (comma or whitespace separated).
  2. Read the calculated result; change any measurement to compare alternatives.

Formula

five-number summary = minimum, Q1, median, Q3, maximum; IQR = Q3 − Q1
data
Numbers (comma or whitespace separated)

Quartiles use linear interpolation (type-7). The five-number summary is exactly what a box plot draws.

Worked example

For five number summary calculator, the following measurements illustrate the exact method: Numbers (comma or whitespace separated): 2,4,4,4,5,5,7,9.

Inputs

  • Numbers (comma or whitespace separated)2,4,4,4,5,5,7,9

Result

  • Median (Q2)4.5
  • Minimum2
  • First quartile (Q1)4
  • Third quartile (Q3)5.5
  • Maximum9
  • Interquartile range (IQR)1.5

Results explained

Median (Q2)
Median (Q2) from the formula above. Quartiles use linear interpolation (type-7). The five-number summary is exactly what a box plot draws.
Minimum
Minimum from the formula above. Quartiles use linear interpolation (type-7). The five-number summary is exactly what a box plot draws.
First quartile (Q1)
First quartile (Q1) from the formula above. Quartiles use linear interpolation (type-7). The five-number summary is exactly what a box plot draws.
Third quartile (Q3)
Third quartile (Q3) from the formula above. Quartiles use linear interpolation (type-7). The five-number summary is exactly what a box plot draws.
Maximum
Maximum from the formula above. Quartiles use linear interpolation (type-7). The five-number summary is exactly what a box plot draws.
Interquartile range (IQR)
Interquartile range (IQR) from the formula above. Quartiles use linear interpolation (type-7). The five-number summary is exactly what a box plot draws.

Frequently asked questions

five-number summary = minimum, Q1, median, Q3, maximum; IQR = Q3 − Q1

Quartiles use linear interpolation (type-7). The five-number summary is exactly what a box plot draws.

Enter numbers only, in the units and format each label describes. Remove missing values rather than substituting zero, unless zero is a real observation.

No. Results describe the numbers you entered. Statistical inference also depends on sampling design, independence, model fit and interpretation; a p-value is not the probability that a hypothesis is true.

No. Every calculation, including the distribution algorithms, runs entirely in your browser.