Standard Deviation and Variance

Computes the mean value (mu), standard deviation, and variance of the values in the input sequence X. Details

X is the input sequence.
Weighting determines whether to calculate the population or the sample standard deviation and variance.
mean is the average of the values in the input sequence X.
standard deviation is the calculated standard deviation of the values in the input sequence X.
variance is the calculated variance of the values in the input sequence X.

Standard Deviation and Variance Details

Weighting is used to specify whether X represents the entire population of data or only a sample. The values are computed using the following formulas:

mean = Sum (X[i])/n, where n is the number of elements in X.

variance = ((X[i] - mean)^2)/w where w is n for population and (n-1) for sample.

standard deviation = sqrt (variance).