Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum

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:

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

 Problem E5 Create a line plot with a MAD of 22 / 9, with no 5s.

 Problem E6 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.

 Problem E7 Explain why it is not possible to create a line plot with 9 values that has a MAD of 1.

 Session 5: Index | Notes | Solutions | Video