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Learning Math Home
Patterns, Functions, and Algebra
 
Session 5 Part A Part B Part C Part D Part E Homework
 
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Session 5: Variation About the Mean
 

In Session 4, we explored the Five-Number Summary and its graphical representation, the box plot. We also explored the median, a common numerical summary for a data set.

In this session, we'll investigate another common numerical summary, the mean. We'll also learn several ways to describe the degree of variation in data, based on how much the data values vary from the mean. Note 1

In This Session:

Part A:

Fair Allocations

Part B:

Unfair Allocations

Part C:

Using Line Plots

Part D:

Deviations from the Mean

Part E:

Measuring Variation

Homework

 

Materials
You will need to have these materials in hand before you begin:

 

45 coins

 

calculator

 

several pieces of blank paper or 22" by 28" poster board

 

self-adhesive colored dots or 2" by 1.5" adhesive notepaper squares

 
Learning Objectives

In this session, you will do the following:

• 

Understand the mean as an indicator of fair allocation

• 

Explore deviations of data values from the mean

• 

Understand the mean as the "balancing point" of a data set

• 

Learn how to measure variation about the mean


video icon

Throughout the session you will be prompted to view short video segments. In addition to these excerpts, you may choose to watch the full-length video of this session.

Keyterms

Previously Introduced:

New in This Session:

 

line plot
median
variation

allocation
deviation from the mean
equal-shares allocation
mean
mean absolute deviation (MAD)
standard deviation
variance

Next > Part A: Fair Allocations

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