I am trying to calculate Standerd Deviation,mean avarage etc. I am trying to write below code. but it thows exception java.util.ConcurrentModificationException.I am tryng to fix it but faild.
My code:
package statistic;
import java.util.*;
public class StanderDeviation {
    public static void main(String[] args) {
        System.out.println("step 1:create a list of 10 numbers :");
        List<Double> numbers = new ArrayList<Double>();
        numbers.add(23.0);
        numbers.add(92.0);
        numbers.add(46.0);
        numbers.add(55.0);
        numbers.add(63.0);
        numbers.add(94.0);
        numbers.add(77.0);
        numbers.add(38.0);
        numbers.add(84.0);
        numbers.add(26.0);
        System.out.println("\n " +numbers);
        System.out.println("step 2: average  of 10 numbers : ");
        double sum = 0;
        for(double number : numbers)
        {
            sum= sum +number;
        }
        double average = sum / numbers.size();
        System.out.println(sum + " / " + numbers.size() + " = " + average);
        System.out.println("\nstep 3: difference between each number numbers and average :");
        List<Double>listOfDifferences = new ArrayList<Double>();
        for(double number : numbers)
        {
            double difference = number - average ;
            listOfDifferences.add(difference);
            System.out.printf("%2.2f", difference);
            System.out.printf(" "); 
        }
         System.out.println("\n\nstep 4: Square of above calculate difference :");
        List<Double> squares = new ArrayList<Double>();
        for(double difference : listOfDifferences)
        {
            double square = difference * difference ;
            listOfDifferences.add(difference);
            squares.add(square);
            System.out.printf("%4.2f", square);
            System.out.printf(" "); 
        }
        System.out.println("\nstep 5:sum of Square   calculate above :");
        sum = 0;
        for(double number : squares)
        {
            sum += number ; 
        }
        System.out.println(sum);
        System.out.println();
        System.out.println("step 6: divide sum of Square by totle (numbers)-1 :");
        double result = sum / (numbers.size()-1);
        System.out.printf("%4.2f", result);
        System.out.println();
        System.out.println("\nstep 7: Stander Deviation is the Square root of obove result :");
        double StanderDeviation = Math.sqrt(result);
        System.out.printf("%4.2f", StanderDeviation);
    }
}
And here is the exeption error
Exception in thread "main" java.util.ConcurrentModificationException
    at java.util.ArrayList$Itr.checkForComodification(Unknown Source)
    at java.util.ArrayList$Itr.next(Unknown Source)
    at statistic.StanderDeviation.main(StanderDeviation.java:50)
Thanks in advance.
 
     
    