Free calculatorLive resultsSteps and sourcesEmbed on your site, free

Streamflow Percentile Calculator

Streamflow percentile calculator works out Percentile rank of the value and Values below it from Data set, Value to rank and Tie handling. The default figures on this page give percentile rank of the value of 50.00 %; change any entry and the result, the working and the sources update together.

Percentile rank of the value
50.00 %
Percentile Rank Calculator
Values below it
2
Values equal to it
1
Values above it
2
Values in the set
5
Value at the requested percentile
30.000000
Minimum
10.000000
Maximum
50.000000
What it means
30 sits at the 50th percentile of these 5 values: 2 are below it, 1 equal it and 2 are above it.
Worked out from NIST/SEMATECH e-Handbook of Statistical Methods, 7.2.6.2 Percentiles and 3 other sources.
With only 5 values each observation is worth 20 percentile points, so the rank is coarse.

Your figures

Updates as you type
The reference set - all the scores in the class, or the historical record. Separate with commas, spaces or new lines.
The score, flow or reading whose position in the set you want.

How this is worked out

4 steps
  1. Sorted set (5 values): 10, 20, 30, 40, 50.
  2. 2 below the score, 1 equal to it, 2 above.
  3. PR = 100 x (2 + 0.5 x 1) / 5 = 50%.
  4. Going the other way, the 50th percentile of this set is 30.

Its 5 worked examples are re-run on every release, last on 15 September 2026. What changed

Sources and references

4 sources
NIST/SEMATECH e-Handbook of Statistical Methods, 7.2.6.2 Percentiles
2012 · Linear interpolation between order statistics.
Hyndman, R.J. & Fan, Y. (1996), "Sample Quantiles in Statistical Packages", The American Statistician 50(4), 361-365
Type 6 (exclusive) and type 7 (linear) quantile estimators.
Crocker, L. & Algina, J., Introduction to Classical and Modern Test Theory
Percentile rank as 100 (cf_below + f/2) / n, the convention used on standardised score reports.
USGS, WaterWatch percentile classes for streamflow
The same percentile rank applied to a historical record of daily values, which is what the streamflow and temperature products ask for.

What the streamflow percentile calculator calculates

Finds the percentile rank of a value within a data set under the standard mid-rank, strictly-below or cumulative conventions, and works the other direction to give the value at a chosen percentile.

How to use this streamflow percentile calculator

Enter Data set, Value to rank, Tie handling and Percentile to look up (the other direction). Percentile rank of the value updates as you type. Change one figure at a time to see what drives the result.

How the result is worked out

Open “How this is worked out” beside the result for the step-by-step calculation behind Percentile rank of the value, Values below it and Values equal to it.

The method follows NIST/SEMATECH e-Handbook of Statistical Methods, 7.2.6.2 Percentiles, Hyndman, R.J. & Fan, Y. (1996), "Sample Quantiles in Statistical Packages", The American Statistician 50(4), 361-365, Crocker, L. & Algina, J., Introduction to Classical and Modern Test Theory and USGS, WaterWatch percentile classes for streamflow.

Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.

Embed this calculator on your website

Copy this code into any page. The calculator appears with the figures currently entered, sizes itself to fit, and a small credit line links back here. Free, no account, no ads inside it, no tracking of your readers. Set your own figures and fixed fields; Personal removes the credit line, sets your colour and shows you which sites use it.

Preview

See something wrong? Report a problem with this calculator

Frequently asked questions

What information do I need for the streamflow percentile calculator?

You need Data set, Value to rank, Tie handling, Percentile to look up (the other direction) and Percentile-value method. The page opens with default figures that give percentile rank of the value of 50.00 %, so you can see the scale before entering your own.

What does this streamflow percentile calculator show?

It shows Percentile rank of the value, Values below it, Values equal to it, Values above it, Values in the set, Value at the requested percentile, Minimum and Maximum, with the working and any warnings for your entries.

Can I check how the streamflow percentile calculator result was calculated?

Yes. The “How this is worked out” section shows the calculation steps, and the sources section identifies the references used for the method.

Related calculators

View all related calculators5 more