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## (Basic Statistics for Citizen Data Scientist)

# Logistic Distribution

The pdf of the Logistic distribution at location parameter *µ* and scale parameter *β* is

where *β* > 0. The cdf is

The inverse of the logistic distribution is

The standard Gumbel distribution is the case where *μ* = 0 and* β* = 1.

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

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

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

**Figure 2 – Chart of Logistic distribution**

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

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

**LOGISTIC_INV**(*p, μ, β*) = the inverse of the Logistic distribution at *p*

Classification in R – logistic regression for binary class classification in R

## Statistics for Beginners in Excel – Logistic Distribution

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