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## (Basic Statistics for Citizen Data Scientist)

# Laplace Distribution

The pdf of the Laplace distribution (aka the double exponential distribution) with location parameter* μ* and scale parameter *β* is

where *β* > 0. The cdf is

The inverse of the Laplace distribution is

Key statistical properties of the Laplace distribution are shown in Figure 1.

**Figure 1 – Statistical properties of the Laplace distribution**

Figure 2 shows a graph of the Laplace distribution for different values of *μ* and *β*.

**Figure 2 – Chart of Laplace distribution**

**Real Statistics Functions**: The Real Statistics Resource Pack provides the following functions for the Laplace distribution.

**LAPLACE_DIST**(*x, μ, β, cum*) = the pdf of the Laplace distribution *f*(*x*) when cum = FALSE and the corresponding cumulative distribution function *F*(*x*) when *cum* = TRUE.

**LAPLACE_INV**(*p, μ, β*) = the inverse of the Laplace distribution at *p*

Applied Data Science Coding: How to get class distribution in Data

## Statistics for Beginners in Excel – Laplace Distribution

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