Find percentile and quantile values

This page documents an earlier version of InfluxDB. InfluxDB v2.7 is the latest stable version. View this page in the v2.7 documentation.

Use the quantile() function to return a value representing the q quantile or percentile of input data.

Percentile versus quantile

Percentiles and quantiles are very similar, differing only in the number used to calculate return values. A percentile is calculated using numbers between 0 and 100. A quantile is calculated using numbers between 0.0 and 1.0. For example, the 0.5 quantile is the same as the 50th percentile.

Select a method for calculating the quantile

Select one of the following methods to calculate the quantile:

estimate_tdigest

(Default) An aggregate method that uses a t-digest data structure to compute a quantile estimate on large data sources. Output tables consist of a single row containing the calculated quantile.

If calculating the 0.5 quantile or 50th percentile:

Given the following input table:

_time_value
2020-01-01T00:01:00Z1.0
2020-01-01T00:02:00Z1.0
2020-01-01T00:03:00Z2.0
2020-01-01T00:04:00Z3.0

estimate_tdigest returns:

_value
1.5

exact_mean

An aggregate method that takes the average of the two points closest to the quantile value. Output tables consist of a single row containing the calculated quantile.

If calculating the 0.5 quantile or 50th percentile:

Given the following input table:

_time_value
2020-01-01T00:01:00Z1.0
2020-01-01T00:02:00Z1.0
2020-01-01T00:03:00Z2.0
2020-01-01T00:04:00Z3.0

exact_mean returns:

_value
1.5

exact_selector

A selector method that returns the data point for which at least q points are less than. Output tables consist of a single row containing the calculated quantile.

If calculating the 0.5 quantile or 50th percentile:

Given the following input table:

_time_value
2020-01-01T00:01:00Z1.0
2020-01-01T00:02:00Z1.0
2020-01-01T00:03:00Z2.0
2020-01-01T00:04:00Z3.0

exact_selector returns:

_time_value
2020-01-01T00:02:00Z1.0

The examples below use the example data variable.

Find the value representing the 99th percentile

Use the default method, "estimate_tdigest", to return all rows in a table that contain values in the 99th percentile of data in the table.

  1. data
  2. |> quantile(q: 0.99)

Find the average of values closest to the quantile

Use the exact_mean method to return a single row per input table containing the average of the two values closest to the mathematical quantile of data in the table. For example, to calculate the 0.99 quantile:

  1. data
  2. |> quantile(q: 0.99, method: "exact_mean")

Find the point with the quantile value

Use the exact_selector method to return a single row per input table containing the value that q * 100% of values in the table are less than. For example, to calculate the 0.99 quantile:

  1. data
  2. |> quantile(q: 0.99, method: "exact_selector")

Use quantile() with aggregateWindow()

aggregateWindow() segments data into windows of time, aggregates data in each window into a single point, and then removes the time-based segmentation. It is primarily used to downsample data.

To specify the quantile calculation method in aggregateWindow(), use the full function syntax:

  1. data
  2. |> aggregateWindow(
  3. every: 5m,
  4. fn: (tables=<-, column) => tables
  5. |> quantile(q: 0.99, method: "exact_selector"),
  6. )

query percentile quantile