Applied Mathematical & Physical Formulas

Statistics

Overview

Statistics is the mathematics of the collection, organization, and interpretation of numerical data, especially the analysis of population characteristics by inference from sampling. The most familiar statistical measure is the arithmetic mean, which is an average value for a group of numerical observations.

A second important statistic or statistical measure is the standard deviation, which is a measure of how much the individual observations are scattered about the mean. This section contains the most frequently used formulas, rules, and definitions regarding to the following:

  1. Sets

  2. Permutations and Combinations

  3. Probability

  4. Distribution

  5. Reliability

1 Definition of Set and Notation

A set is a collection of object called elements. In mathematics we write a set by putting its elements between the curly brackets {}.

Set A which containing numbers 3, 4, and 5 is written


  1. Empty set
    A set with no elements is called an empty set and is denoted by


  2. Subset
    Sometimes every element of one set also belongs to another set:


    A set A is a subset of a set B because every element of set A is also an element of set B, and it is written as


  3. Set equality
    The sets A and B are equal if and only if they have exactly the same elements, and the equality is written as


  4. Set union
    The union of a set A and set B is the set of all elements that belong to either A or B or both, and is written...

UNLIMITED FREE
ACCESS
TO THE WORLD'S BEST IDEAS

SUBMIT
Already a GlobalSpec user? Log in.

This is embarrasing...

An error occurred while processing the form. Please try again in a few minutes.

Customize Your GlobalSpec Experience

Category: Pressure Gauges
Finish!
Privacy Policy

This is embarrasing...

An error occurred while processing the form. Please try again in a few minutes.