The best replacement for standard deviation is standard error.

The best alternatives to standard deviation are rated as following:

★★★★★	standard error
★★★★★	variance
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★★	mean
★★	standard error of the mean
★★	average deviation
★	population standard deviation
★	interquartile range
★	confidence interval
★	coefficient of variation
★	mean absolute deviation
★	relative standard deviation
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★	rms
★	standard deviation of the mean
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Speaking about standard deviation, one probably shouldn't forget about mean.

Other search terms related to standard deviation and their ratings are:

★★★★★	mean
★★★★	probability
★★	outliers
★★	variance
★★	data set
★★	normal distribution
★	expected value
★	sample size
★	probability distribution
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standard deviation

standard error

variance