Inverse Empirical Distribution Calculator
Online calculator for the inverse empirical distribution of a data series
On this page the inverse empirical distribution of a series of numbers is calculated.
To perform the calculation, enter a series of numbers. Then click the 'Calculate' button. The list can be entered unsorted.
Input format
The data can be entered as a series of numbers, separated by semicolons or spaces. You can enter the data as a list (one value per line). Or from a column from Excel spreadsheet by copy & paste
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Description and Example
The inverse empirical distribution function is the inverse of the empirical distribution function. This means that you give the range of a sorted data series to be evaluated as an argument. For example 0.4 for the bottom 40%. The result is then the highest value contained in the bottom 40%.
Example
To calculate the empirical distribution function, the observation values are arranged in ascending order and the relative frequency is determined, with which they are less than or equal to a certain number.
This example searches for the distribution for the following number series with 6 numbers
\(2\ 6\ 4\ 8\ 3\ 1\)
The comparison value is 0.5, i.e. 50%. The numbers are searched whose values are in the bottom 50%.
\(\color{#44F}{1\ 2\ 3}\ 4\ 6\ 8\)
The highest value contained in the bottom 50% is the \(\color{#44F}{3}\).
More statistics functions
Arithmetic Mean • Contraharmonic Mean • Covariance • Empirical distribution CDF • Deviation • Five-Number Summary • Geometric Mean • Harmonic Mean • Inverse Empirical distribution CDF • Kurtosis • Log Geometric Mean • Lower Quartile • Median • Pooled Standard Deviation • Pooled Variance • Skewness (Statistische Schiefe) • Upper Quartile • Variance
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