# January 30, 2013 - PowerPoint PPT Presentation

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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.

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January 30, 2013

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#### Presentation Transcript

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?

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 Mean

2) Find the absolute value distance of each data point away from the mean

3) Find the Average of the Absolute Value of the Distances

Example 1

Maximum Speeds of Roller Coasters (mph)

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

Example 2

Speeds of Top Ten Fastest Birds (mph)

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

### Comparing two sets of data

2010 New York Yankees Salaries (millions of \$)

Top Five Salaries (millions)

Lowest Five Salaries (millions)

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

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: