Java Program to Calculate Standard Deviation

To understand this example, you should have the knowledge of the following Java programming topics:

This program calculates the standard deviation of a individual series using arrays. Visit this page to learn about Standard Deviation.

To calculate the standard deviation, calculateSD() function is created. The array containing 10 elements is passed to the function and this function calculates the standard deviation and returns it to the main() function.

Example: Program to Calculate Standard Deviation

public class StandardDeviation {

    public static void main(String[] args) {
        double[] numArray = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 };
        double SD = calculateSD(numArray);

        System.out.format("Standard Deviation = %.6f", SD);

    public static double calculateSD(double numArray[])
        double sum = 0.0, standardDeviation = 0.0;
        int length = numArray.length;

        for(double num : numArray) {
            sum += num;

        double mean = sum/length;

        for(double num: numArray) {
            standardDeviation += Math.pow(num - mean, 2);

        return Math.sqrt(standardDeviation/length);


Standard Deviation = 2.872281

In the above program, we've used the help of Java Math.pow() and Java Math.sqrt() to calculate the power and square root respectively.

Note: This program calculates the standard deviation of a sample. If you need to compute S.D. of a population, return Math.sqrt(standardDeviation/(length-1)) instead of Math.sqrt(standardDeviation/length) from the calculateSD() method.

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