There are three sigma symbols, an upper case, a lower case and an end of the sentence case.
The capital letter case is used as summation.
The lower case is used to represent variance in statistics.
The lower case is also used to represent stress in mechanics and physics.
The end of sentence case is generally not used.
Reference link: http://en.wikipedia.org/wiki/Sigma.
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The symbol for standard deviation is sigma , σ.
sigma
You probably mean the Greek letter sigma since this is the probability area.Lower-case sigma is usually reserved to represent a population standard deviation. When it is squared it represents a population variance. With a caret ('hat') over it it represents an estimator of the population standard deviation.Upper-case sigma is most often used to mean summation (adding up) of terms given by the expression after the sigma. The limits of summation are given above and below the sigma symbol in terms of one of the variables in the expression.
Yes, sigma squared (σ²) represents the variance of a population in statistics. Variance measures the dispersion of a set of values around their mean, and it is calculated as the average of the squared differences from the mean. In summary, σ² is simply the symbol used to denote variance in statistical formulas.