standard deviation
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standard deviation
[′stan·dərd ‚dē·vē′ā·shən] (statistics)
The positive square root of the expected value of the square of the difference between a random variable and its mean.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
standard deviation
see MEASURES OF DISPERSION.Collins Dictionary of Sociology, 3rd ed. © HarperCollins Publishers 2000
standard deviation
(statistics)(SD) A measure of the range of values in a set of
numbers. Standard deviation is a statistic used as a measure
of the dispersion or variation in a distribution, equal to the
square root of the arithmetic mean of the squares of the
deviations from the arithmetic mean.
The standard deviation of a random variable or list of numbers (the lowercase greek sigma) is the square of the variance. The standard deviation of the list x1, x2, x3...xn is given by the formula:
sigma = sqrt(((x1-(avg(x)))^2 + (x1-(avg(x)))^2 + ... + (xn(avg(x)))^2)/n)
The formula is used when all of the values in the population are known. If the values x1...xn are a random sample chosen from the population, then the sample Standard Deviation is calculated with same formula, except that (n-1) is used as the denominator.
[dictionary.com].
["Barrons Dictionary of Mathematical Terms, second edition"].
The standard deviation of a random variable or list of numbers (the lowercase greek sigma) is the square of the variance. The standard deviation of the list x1, x2, x3...xn is given by the formula:
sigma = sqrt(((x1-(avg(x)))^2 + (x1-(avg(x)))^2 + ... + (xn(avg(x)))^2)/n)
The formula is used when all of the values in the population are known. If the values x1...xn are a random sample chosen from the population, then the sample Standard Deviation is calculated with same formula, except that (n-1) is used as the denominator.
[dictionary.com].
["Barrons Dictionary of Mathematical Terms, second edition"].
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