Standard Deviation Graph Explained. In the first histogram the largest value is 9 while the smallest value is 1. The standard deviation of a probability distribution is the same as that of a random variable having that distribution.
Standard deviation is the square root of the variance calculated by determining the variation between the data points relative to their mean. The standard deviation of a probability distribution is the same as that of a random variable having that distribution. Histogram 1 has more variation than histogram 2.
Computing the value of a standard deviation is complicated.
As explained above while s 2 is an unbiased estimator for the population variance s is still a biased estimator for the population standard deviation though markedly less biased than the uncorrected sample standard deviation. Computing the value of a standard deviation is complicated. The overall range of data is 9 1 8. In the first histogram the largest value is 9 while the smallest value is 1.