Beginning Statistics with Data Analysis by Frederick Mosteller

Author:Frederick Mosteller
Language: eng
Format: epub
Publisher: Dover Publications
Published: 2003-04-06T16:00:00+00:00

In our example with the four measurements 1, 1, 2, and 4,

Subscripts on n and σ. In some problems, when we speak of means and variances, more than one mean or variance may be part of the discussion. Then, to avoid confusion, we use the variable whose mean or variance is being computed as a subscript. For example, the mean and variance of Z may be written μZ and σZ2. In the current discussion it is important to distinguish between the variance of X and the variance of X. We recall from Chapter 8 how to compute the variance of a random variable X when all values have equal probabilities. To get the population variance of X, σX2, we square the deviations from the mean, sum the squares, and divide by N:

DEFINITION Population variance for measurements:

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