# Touch of data and statistics

## Calculator

Input calculations "freely" in the text area below and activate by the click or moving to outside of the input area. Max. one calculation for each row, you can divide an equation in multiple lines by ( ). Separate distinct elements in the same row with ; character but do not end the row with ; character. Blank rows are ignored. The calculator "exploits" math.js Javascript library. The answers (A1,A2,...) of the calculations are printed in the output box.
Input:
Output:

## Basic concepts

Let's learn a bit how to analyze different kinds of statistical data. This page will contain material that might be useful for you when you want to get more control of the statistical information and the methods shaping the data (statistics, cost calculations,...).

### Description of the simple set of numbers

Let's generate a set of numbers which we call variable or data "x" (variable could be e.g. monthly wage) .

Summary statistics (the above variable x):
. "The Extremist" measure: ?

### Relative differences and changes

#### Relative difference between two numbers

Logarthmic difference or change is useful in certain situations, it is close to the traditional relative change when the change is small.

### Weighting observations

#### Weighted average

Weigted average of variable x means that it values are weighted in a certain way. Calculating the weighted average you will need another variable called weight-variable w. w-variable can have zero or greater values (>=0). x and w variables must equal in their lengths (number of observations).

x (variable) w (weighting):
Result: weighted average (mean) of x (by w) = .
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