Standard Deviation Calculator

Population and sample standard deviation for a list of numbers.

Standard Deviation Calculator helps you population and sample standard deviation for a list of numbers. Enter values, review the breakdown, and use the guidance below to understand what the number means — and what it does not. What the Standard Deviation calculator does Standard Deviation Calculator is built for arithmetic, algebra, geometry, and number tools. Population and sample standard deviation for a list of numbers. You enter values, then Simple Calculators computes the result instantly. Results use standard school and engineering formulas that run privately in your browser. How the math works Type at least two numbers into Values, separated by commas or spaces. The calculator finds the mean (average), subtracts it from each value, squares each difference and adds them up. Sample standard deviation = √(sum of squared differences ÷ (n − 1)); population standard deviation divides by n instead, where n is how many numbers you entered. Variance, median, sum and range are shown too, and a value-by-value table appears for lists of 24 numbers or fewer. The formula: s = √(Σ(x − x̄)² ÷ (n − 1)). x̄ is the mean and n is the number of values. For a whole population, divide by n instead…