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Standard deviation. A statistical measure of the extent to which a set of numbers are dispersed about their arithmetic mean (c£> average). It is the square root of the variance. An advantage of the standard deviation is that, whereas the variance will be measured in terms of the square of the units of measurement of the original set of numbers, the standard deviation is measured in terms of the original units. The variance of a batsman’s scores over a season would be in units of runs squared’, while the standard deviation will be in runs. Clearly, the latter is easier to interpret in everyday terms. The formula for the standard deviation is:

where xt is the ;th number and x is the arithmetic mean. Everything said

standard deviation = a = (xt ” x)2

Statistical inference

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