Standard Deviation Calculator

The calculator starts by computing the arithmetic mean of all six values by summing them and dividing by six. It then finds each value's deviation from the mean (value − mean), squares each deviation to make all values positive and to penalise larger deviations more heavily, and sums those squared deviations. Dividing that sum by the count of values (n) gives the population variance — the average squared distance from the mean. Finally, the square root of the variance is taken to bring the measure back to the same units as the original data, producing the population standard deviation. This calculator uses the population formula (÷ n) rather than the sample formula (÷ n−1), which is appropriate when the six values represent the complete dataset rather than a sample drawn from a larger group.