40th Percentile (P40) Calculator



Formula

The formula to calculate the 40th percentile (P40) is:

P40 = \(1 + (n - 1) \times 0.40\)

Where:

What is a 40th Percentile?

A 40th percentile is a statistical measure that indicates the value below which 40 percent of the data points in a dataset may be found. In other words, 40 percent of the observations are less than or equal to this value. It is often used in statistics to provide a relative standing of a value within a dataset.

Example Calculation

Example 1:

Calculation:

P40 = \(1 + (50 - 1) \times 0.40 = 1 + 49 \times 0.40 = 1 + 19.6 = 20.6\)

Example 2:

Calculation:

P40 = \(1 + (100 - 1) \times 0.40 = 1 + 99 \times 0.40 = 1 + 39.6 = 40.6\)