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Z-score sets and meaning

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Compute the z-score from the following set of scores and explain what a z-score means.
145; 210; 300; 178; 110; 237; 155; 187; 204; 205; 205; 287; 256; 200

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Solution Summary

This solution computes the z-score from a set of scores and explains the meaning of a z-score in detail in the context of statistics and standard deviations.

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First, we compute the z score.

Before computing, we need the mean and standard deviation of the data set. I assume that you're familiar with calculating means and standard deviations, if not, see http://en.wikipedia.org/wiki/Standard_deviation#Basic_examples for an example.

In the data set above, there are 14 numbers. The mean is 205.64 and the ...

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