Measures of Center

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# Measures of Center - PowerPoint PPT Presentation

Measures of Center. MAFS.7.SP.2.3 Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.

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## Measures of Center

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Presentation Transcript

### Measures of Center

MAFS.7.SP.2.3 Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.

• In this lesson you will learn to compare two data sets by looking at their means and mean absolute deviations.

Mean – the sum of a set of numbers divided by the number of elements in the set. Also known as average.

Mean Absolute Deviation
• The average distance between each data point and the mean.

http://www.toondoo.com//public/s/p/a/sparks783/toons/cool-cartoon-7697563.png

Mean

480

10 = 48 minutes

Mean Absolute Deviation

204

10 = 20.4 minutes

20.4 minutes is the average distance away from the mean.

Mean

1290

10 = 129 minutes

Mean Absolute Deviation

288

10 = 28.8 minutes

MAD – what does it mean?

The higher the MAD, the greater variability there is in the data (variability is how spread out or how clustered a group of data is).

High variability means the data is really spread out.

Low variability means the data is really close together.

How does this apply to our data?