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Descriptive Statistics Calculator

Summarize a dataset with median, modes, interpolated quartiles, range and a frequency table.

Your numbers

Make it your own
Updates as you type
Median
2.5

Calculated from your inputs · rounded for display

Mean3.3333
Modes2
Q12
Q33.75
Range7
Count6

Your calculation, step by step

No black boxes
  1. Sort the observations.
  2. Quartiles use linear interpolation at index (n − 1)p (R type 7).
Detailed results · 5 entries
ValueFrequency
11
22
31
41
81

How to use this calculator

  1. Enter your own values in the labeled fields. Check the units and assumptions before comparing results. Only the fields needed for your selected calculation mode are shown.
  2. Your answer updates automatically. Review the calculation steps to see exactly how it was calculated.
  3. Copy, share, save, or download your result. Saved inputs stay on this device.

How the calculation works

Median = Q(0.5); Q(p) interpolates at sorted index (n−1)p

Sort the observations before finding the median and quartiles. Quartiles use the widely used linear interpolation convention often called R type 7; another software convention can give different quartiles for short lists. All equally frequent modes are retained. Review the units, period and assumptions before comparing scenarios. Displayed values are rounded, while the underlying calculation retains its available precision.

A worked example

For 1,2,2,3,4,8: median=2.5, Q1=2, Q3=3.75, mode=2, range=7 and mean=3.3333.

Reading your result

Use the main result together with its units and supporting figures. Display values are rounded; calculations keep their underlying precision. A change in inputs or assumptions can change the answer. Compare the step-by-step working with your intended use before relying on an estimate.

Frequently asked questions

What assumptions does this calculation use?

Sort the observations before finding the median and quartiles. Quartiles use the widely used linear interpolation convention often called R type 7; another software convention can give different quartiles for short lists. All equally frequent modes are retained.

Can I save or check a scenario?

The result includes the working and supporting values. Save and Restore keep inputs on this device; Copy, Download and Print export the result. Sharing a scenario explicitly includes the inputs in its link.

Sources & methodology

This calculator uses the mathematical identity and assumptions stated above. No current rates, prices, or external data are loaded. Conversion tools use international unit definitions.

Formula review: October 24, 2026. Read our methodology.