Question 27Write a program that computes the standard deviation of N real numbers. The standard deviation s is computed according to:s=(x1−x−)2+(x2−x−)2+...+(xN−x−)2Ns=\sqrt{\dfrac{(x_1 - \overset{-}{x})^2 + (x_2 - \overset{-}{x})^2 + ... + (x_N - \overset{-}{x})^2}{N}}s=N(x1−x−)2+(x2−x−)2+...+(xN−x−)2The variable x−\overset{-}{x}x− is the average of N input values x1x_1x1 through xNx_NxN. The program first prompts the user for N and then declares an array of size N.

Question

Question 27Write a program that computes the standard deviation of N real numbers. The standard deviation s is computed according to:s=(x1−x−)2+(x2−x−)2+...+(xN−x−)2Ns=\sqrt{\dfrac{(x_1 - \overset{-}{x})^2 + (x_2 - \overset{-}{x})^2 + ... + (x_N - \overset{-}{x})^2}{N}}s=N(x1​−x−)2+(x2​−x−)2+...+(xN​−x−)2​​The variable x−\overset{-}{x}x− is the average of N input values x1x_1x1​ through xNx_NxN​. The program first prompts the user for N and then declares an array of size N.

Accepted Answer

import java.util.Scanner;

public class KboatStdDev
{
    public static void main(String args[]) {
        Scanner in = new Scanner(System.in);
        
        System.out.print("Enter N:");
        int n = in.nextInt();
        
        double a[] = new double[n];
        
        System.out.println("Enter the numbers:");
        for (int i = 0; i < n; i++) {
            a[i] = in.nextDouble();
        }
        
        double sum = 0;
        for (int i = 0; i < n; i++) {
            sum += a[i];
        }
        
        double avg = sum / n;
        double z = 0;
        for (int i = 0; i < n; i++) {
            z += Math.pow(a[i] - avg, 2);
        }
        
        double s = Math.sqrt(z / n);
        
        System.out.println("Standard Deviation(s) = " + s);
    }
}Output

Arrays — Question 27

Question 27

Output