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Learning Math Home
Session 5, Part E: Measuring Variation
 
Session5 Part A Part B Part C Part D Part E Homework
 
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Session 5, Part E:
Measuring Variation

In This Part: Mean Absolute Deviation (MAD) | Working with the MAD
Variance and Standard Deviation

Use the Interactive Activity below or your paper/poster board to answer the questions in Problems E4-E6. You will be asked to form several arrangements with a specified total for the absolute deviations. You might want to write the size of each absolute deviation on each adhesive dot or note to help you determine whether you have the desired result. Note 8


 
 

For example, for the previous example A, this version of the line plot was:


 
 

This activity requires the Flash plug-in, which you can download for free from Macromedia's Web site.

In the following problems, the mean is 5, and there are 9 values in the data set. See if you can find more than one arrangement for each description.


 

Problem E4

Solution  

Create a line plot with a MAD of 24 / 9.


 

Problem E5

Solution  

Create a line plot with a MAD of 22 / 9, with no 5s.


 

Problem E6

Solution  

Create a line plot with a MAD of 12 / 9, with exactly two 5s, 5 values larger than 5, and 2 values smaller than 5.


Take it Further

Problem E7

Solution

Explain why it is not possible to create a line plot with 9 values that has a MAD of 1.


 

Next > Part E (Continued): Variance and Standard Deviation

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