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# M6.3.1

Understands basic characteristics of and calculates measures of central tendency (i.e., mean, median, mode).

### The Mathematical Implications of Lying

This article explores how statistics can be interpreted in different ways to yield different conclusions. It describes a pair of class activities. In the first, the results are interpreted to "show" that taking a group rather than an individual perspective is ultimately beneficial to the individual. In the second, a variation is added "showing" that telling the truth is better that lying.

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### Logarithms: Taking the Curve Out

Logarithms are very handy when dealing with numbers at lots of different scales (see related PUMAS example: Just What is a Logarithm, Anyway?). But they also have another useful feature: they help us average measurements of physical phenomena that have nonlinear behavior. A common example in my field of study relates cloud "albedo" to cloud optical depth (Fig. 1); but similar examples may be found when examining many natural phenomena.

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