January 30, 2013

Hmmm… What do you think?

Susan played 6 basketball games.

• Her mean was 11 points.• Her median was 9 points.

What might each of her scores be?

Topic: Mean Absolute Deviation (MAD)

is the average distance between each data value and the mean.

The closer the mean absolute deviation is to zero the more consistent/reliable the data.

1) Find the Mean2) Find the absolute value distance of each data point away from the mean3) Find the Average of the Absolute Value of the Distances

How do we not get mad at MAD?

Maximum Speeds of Roller Coasters (mph)

Find the Mean Absolute Deviation of the set of data and explain what it represents.

58 88 40 6072 66 80 48

Example 1

Speeds of Top Ten Fastest Birds (mph)

88 77 65 70 65

72 95 80 106 68

Find the Mean Absolute Deviation of the set of data and explain what it represents.

Example 2

Comparing two sets of data

33.0024.2922.6020.6316.50

.45

.44

.43

.41

.41

2010 New York Yankees Salaries (millions of $)

Top Five Salaries (millions)Lowest Five Salaries (millions)

Try on your Own…

2010 Population of Largest U.S. Cities (millions)

1.5 3.8 1.3 1.6 2.91.4 .9 2.3 8.4 1.3

Find the Mean Absolute Deviation of the set of data and explain what it represents. (Round to the nearest hundredth)

Next Level:

Which population is farthest from the mean? How far away from the mean is that population? (Round to the nearest hundredth.)

How many data values are closer than one mean absolute deviation away from the mean?

Are there any populations that are more than twice the mean absolute deviation from the mean? Explain.

In summary: Mean Absolute Deviation (MAD)

is the average distance between each data value and the mean.

The closer the mean absolute deviation is to zero the more consistent/reliable the data.

http://www.youtube.com/watch?v=z9AJk7TvdpQ