The **population distribution** is the probability
distribution derived from the knowledge of all elements of a population
(Mann 2012). We know that depending on the population of interest the
random variable of interest can be a discrete variable, meaning at least
in principle it is countable, or the random variable of interest can be
a continuous variable, thus can take on any value within a given
interval. Both, the discrete and the continuous probability distribution
may be described by statistical parameters, such as the mean, the
standard deviation, the median or the mode, among others. These
parameters describing the population are, however, always constant
meaning the **population statistics do not change**.
Because the population is the set of all elements, there is, for
example, **only one value** of the population mean,
**one value** for the standard deviation and so on.

**Citation**

The E-Learning project SOGA-R was developed at the Department of Earth Sciences by Kai Hartmann, Joachim Krois and Annette Rudolph. You can reach us via mail by soga[at]zedat.fu-berlin.de.

You may use this project freely under the Creative Commons Attribution-ShareAlike 4.0 International License.

Please cite as follow: *Hartmann,
K., Krois, J., Rudolph, A. (2023): Statistics and Geodata Analysis
using R (SOGA-R). Department of Earth Sciences, Freie Universitaet Berlin.*