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Java Program to Calculate Standard Deviation
In this article, we will understand how to calculate standard deviation. The standard deviation is the measure of how spread-out numbers are. Its symbol is sigma( σ ). It is the square root of variance.
Standard deviation is computed using the formula square root of ∑(Xi - ų)2 / N where Xi is the element of the array, ų is mean of the elements of the array, N is the number of elements, ∑ is the sum of the each element.
Below is a demonstration of the same −
Suppose our input is −
Input Array : [ 35.0, 48.0, 60.0, 71.0, 80.0, 95.0, 130.0 ]
The desired output would be −
Standard Deviation: 29.313227
Algorithm
Step 1 - START Step 2 - Declare a double array namely input_array, two doube values namely sum and standard_deviation. Step 3 - Read the required values from the user/ define the values. Step 4 - Compute ∑(Xi - ų)2 / N and store the value in result variable. Step 5 - Display the result Step 6 - Stop
Example 1
Here, the input is being entered by the user based on a prompt.
public class StandardDeviation {
public static void main(String[] args) {
double[] input_array = { 35, 48, 60, 71, 80, 95, 130};
System.out.println("The elements of the array is defined as");
for (double i : input_array) {
System.out.print(i +" ");
}
double sum = 0.0, standard_deviation = 0.0;
int array_length = input_array.length;
for(double temp : input_array) {
sum += temp;
}
double mean = sum/array_length;
for(double temp: input_array) {
standard_deviation += Math.pow(temp - mean, 2);
}
double result = Math.sqrt(standard_deviation/array_length);
System.out.format("\n\nThe Standard Deviation is: %.6f", result);
}
}Output
The elements of the array is defined as 35.0 48.0 60.0 71.0 80.0 95.0 130.0 The Standard Deviation is: 29.313227
Example 2
Here, we have defined a function to compute standard deviation.
public class StandardDeviation {
public static void main(String[] args) {
double[] input_array = { 35, 48, 60, 71, 80, 95, 130};
System.out.println("The elements of the array is defined as");
for (double i : input_array) {
System.out.print(i +" ");
}
double standard_deviation = calculateSD(input_array);
System.out.format("\n\nThe Standard Deviation is: %.6f", standard_deviation);
}
public static double calculateSD(double input_array[]) {
double sum = 0.0, standard_deviation = 0.0;
int array_length = input_array.length;
for(double temp : input_array) {
sum += temp;
}
double mean = sum/array_length;
for(double temp: input_array) {
standard_deviation += Math.pow(temp - mean, 2);
}
return Math.sqrt(standard_deviation/array_length);
}
}Output
The elements of the array is defined as 35.0 48.0 60.0 71.0 80.0 95.0 130.0 The Standard Deviation is: 29.313227
Updated on: 29-Mar-2022
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