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Standard Deviation

Standard Deviation

Author: Sara Gorsuch
Description:

This learning packet reviews new terms and definitions, how to interpret and understand standard deviation, defines the empirical rule, Chebyshev's Theorem and gives examples.

A compilation of videos, power points, and text. We include step by step walkthroughs of finding standard deviation by hand and using a graphing calculator.

Co. Authors: Laura Kniffin and Kendra Wheeler.

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Tutorial

Definitions

 Variance: Is the measure of the spread, also known as the dispersion, of a set of data


Standard Deviation: The amount that data deviates from its mean. The percentage of probability that your data will fall within. 

Bell Curve: The symmetrical curve of a normal distribution

Chebyshev's Theorem: A theorem used when you have a non-normal distribution.


The Empirical Rule: A rule used when you have a normal distribution. 

 

Note: In the power point we more thoroughly go through The Empirical

Rule and the Chebyshev's Theorem.

 

Calculating the Standard Deviation by Hand

Calculating the Standard Deviation Using a Graphing Calculator

Chebyshev's Theorem and The Empirical Rule

Source: 2008 UMUC -- European Division ROn Souverein and Nada Wray

Finding The Standard Deviation

Applying the Standard Deviation

Examples to Try.

Find the standard deviation of the lists below


Data List One:                           

4

12

2

4

18


Data List Two:

6

2

4

8

5

Answers to Practice Problems