Not a ready-made function but a compact and reasonably fast snippet:
(a<value).mean()
You can (at least on my machine) squeeze out a few percent better performance by using np.count_nonzero
np.count_nonzero(a<value) / a.size
but tbh I wouldn't even bother.
Answer from loopy walt on Stack OverflowNumPy
numpy.org › devdocs › reference › generated › numpy.quantile.html
numpy.quantile — NumPy v2.5.dev0 Manual
If q is a single probability and axis=None, then the result is a scalar. If multiple probability levels are given, first axis of the result corresponds to the quantiles. The other axes are the axes that remain after the reduction of a. If the input contains integers or floats smaller than float64, the output data-type is float64.
Videos
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NumPy Quantile Tutorial: Calculate Quantiles in Arrays with ...
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Quantile of NumPy Array in Python (Example) | Get Quartile with ...
quantile in numpy
NumPy
numpy.org › doc › 2.1 › reference › generated › numpy.quantile.html
numpy.quantile — NumPy v2.1 Manual
If q is a single probability and axis=None, then the result is a scalar. If multiple probability levels are given, first axis of the result corresponds to the quantiles. The other axes are the axes that remain after the reduction of a. If the input contains integers or floats smaller than float64, the output data-type is float64.
Codecademy
codecademy.com › docs › python:numpy › built-in functions › .quantile()
Python:NumPy | Built-in Functions | .quantile() | Codecademy
April 19, 2025 - The .quantile() function in NumPy returns the qth quantile of an array along a specified axis. Quantiles are the division points that separate a data set into equal probabilities.
NumPy
numpy.org › doc › 2.0 › reference › generated › numpy.quantile.html
numpy.quantile — NumPy v2.0 Manual
If q is a single probability and axis=None, then the result is a scalar. If multiple probability levels are given, first axis of the result corresponds to the quantiles. The other axes are the axes that remain after the reduction of a. If the input contains integers or floats smaller than float64, the output data-type is float64.
Programiz
programiz.com › python-programming › numpy › methods › quantile
NumPy quantile()
The quantile is a statistical measure that represents the value below which a specific percentage of data falls. It helps analyze the distribution of a dataset. In NumPy, the quantile() function computes the q-th quantile of data along the specified axis.
JAX Documentation
docs.jax.dev › en › latest › _autosummary › jax.numpy.quantile.html
jax.numpy.quantile — JAX documentation
Compute the quantile of the data along the specified axis. JAX implementation of numpy.quantile().
NumPy
numpy.org › doc › 1.22 › reference › generated › numpy.quantile.html
numpy.quantile — NumPy v1.22 Manual
Given a vector V of length N, the q-th quantile of V is the value q of the way from the minimum to the maximum in a sorted copy of V. The values and distances of the two nearest neighbors as well as the method parameter will determine the quantile if the normalized ranking does not match the ...
NumPy
numpy.org › doc › 2.2 › reference › generated › numpy.nanquantile.html
numpy.nanquantile — NumPy v2.2 Manual
If multiple probability levels are given, first axis of the result corresponds to the quantiles. The other axes are the axes that remain after the reduction of a. If the input contains integers or floats smaller than float64, the output data-type is float64. Otherwise, the output data-type is the same as that of the input. If out is specified, that array is returned instead. ... The behavior of numpy.nanquantile is the same as that of numpy.quantile (ignoring nan values).
Top answer 1 of 4
23
Not a ready-made function but a compact and reasonably fast snippet:
(a<value).mean()
You can (at least on my machine) squeeze out a few percent better performance by using np.count_nonzero
np.count_nonzero(a<value) / a.size
but tbh I wouldn't even bother.
2 of 4
11
There's a convenience function that does this. Note that it's not an exact inverse because the quantile/percentile functions are not exact. Given a finite array of observations, the percentiles will have discrete values; in other words, you may be specifying a q that falls between those values and the functions find the closest one.
from scipy import stats
import numpy as np
stats.percentileofscore(np.arange(0,1,0.12), .65, 'weak') / 100
NumPy
numpy.org › doc › 2.1 › reference › generated › numpy.nanquantile.html
numpy.nanquantile — NumPy v2.1 Manual
If multiple probability levels are given, first axis of the result corresponds to the quantiles. The other axes are the axes that remain after the reduction of a. If the input contains integers or floats smaller than float64, the output data-type is float64. Otherwise, the output data-type is the same as that of the input. If out is specified, that array is returned instead. ... The behavior of numpy.nanquantile is the same as that of numpy.quantile (ignoring nan values).
Top answer 1 of 8
2
This is probably due to the temperature values being integers (at least the larger ones that influence the calculation of the 85th percentile). If that’s the case, the default interpolation method (linear) will average two integers, resulting in either an integer or an integer ± 0.5. This is effecti…
2 of 8
1
Are you able to post a minimal example with working code? Without the full context it is hard to provide help.
Note that for a quantile on a moving average I would expect a stepwise result. Even if the values are changing a bit each year, the quantile will stay the same if the values moving in and …
Codecademy
codecademy.com › learn › learn-statistics-with-python › modules › quartiles-quantiles-and-interquartile-range › cheatsheet
Learn Statistics with Python: Quartiles, Quantiles, and Interquartile Range Cheatsheet | Codecademy
The three dividing points (or ... Q1, Q2, Q3 are quartiles. In Python, the numpy.quantile() function takes an array and a number say q between 0 and 1....
Pandas
pandas.pydata.org › docs › reference › api › pandas.DataFrame.quantile.html
pandas.DataFrame.quantile — pandas 3.0.1 documentation
Rolling quantile. ... Numpy function to compute the percentile.
GitHub
github.com › numpy › numpy › issues › 13267
np.quantile with wrong calculation? · Issue #13267 · numpy/numpy
April 5, 2019 - In the output, 0.73 means that only 73% of values are larger or equal than the determined quantile; by definition it should be >= 75% for p=0.25.
Author Philipp-Seidel
NumPy
numpy.org › doc › 1.21 › reference › generated › numpy.quantile.html
numpy.quantile — NumPy v1.21 Manual
June 22, 2021 - Given a vector V of length N, the q-th quantile of V is the value q of the way from the minimum to the maximum in a sorted copy of V. The values and distances of the two nearest neighbors as well as the interpolation parameter will determine the quantile if the normalized ranking does not match ...
TutorialsPoint
tutorialspoint.com › numpy › numpy_quantile_function.htm
NumPy quantile() Function
The NumPy quantile() function computes the q-th quantile (or percentile) of the data along a specified axis. A quantile is a value below which a given percentage of observations fall.