+
Measures of Dispersion

Measures of Dispersion

Author: Al Greene
Description:

To introduce new terms and definitions pertaining to measures of dispersion, and give examples of each.

This packet has a slideshow that defines all of the measures of dispersion and gives examples of each. There is also a video that gives a good example of how measures of dispersion are used and interpreted.

(more)
See More

Try Our College Algebra Course. For FREE.

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to over 2,000 colleges and universities.*

Begin Free Trial
No credit card required

25 Sophia partners guarantee credit transfer.

221 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 20 of Sophia’s online courses. More than 2,000 colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.

Tutorial

To begin this packet, you should be familiar with a few new terms:

Range - The difference between the largest and smallest observations in a data set.

Deviation from the mean - The difference between each data point and the mean.

Mean absolute deviation - The mean of all the positive distances of each point from the mean.

Variance - The mean of the squared deviations of each point from the mean.

 

All of these definitions will be discussed further in depth, with examples, below.

Source: Greene

Measures of Dispersion

This powerpoint introduces and defines the terms range, deviation from the mean, mean absolute deviation, and variance. There are also examples on the same data set to illustrate these concepts.

Source: Greene

Calculating Variance

This video shows the formula for calculating sample variance, and gives a detailed, step by step example on a small data set.

Source: YouTube

Mean Absolute Deviation

This video gives a straightforward example on calculating mean absolute deviation of a data set.

Source: YouTube