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Assign11- Word FERENCES MAILINGS REVIEW VIEW Assigned: Friday, 13 October 2017 D

ID: 3594467 • Letter: A

Question

Assign11- Word FERENCES MAILINGS REVIEW VIEW Assigned: Friday, 13 October 2017 Due: Wednesday, 18 October 2017 Points: 20 Write an error-free Java program to do the following things. .Prompt the user to input a set of numbers. The user should be able to input up to 20 numbers but if the user enters- 1 then the data input ceases. All of the data that the user enters should be stored in a single array. The numbers may be integers or non-integers and can be positive or negative The program should calculate the average, the standard deviation and the skewness of the numbers that were entered. The formulas for the variance and the skewmess (the thard centralized moment) are given by · (x- Standard deviation (n-I) (x-5), (n-1)s Skewness= wherc x are the individual numbers, a is the number of data points, s is the standard deviation, and is the average of the sample. The skewness and the standard deviation must be calculated via calls to a is, there must be a method that calculates the standard deviation and a separate method that calculates the skewness · At the end, the program should repeat all of the numbers on one line and then print the average, standard deviation, and skewness of the data sample. Example: Enter data value (-1 to quit): Enter next data value (-1 to quit) : | Enter next data value (-1 to quit): Enter next data value (-1 to quit):

Explanation / Answer

package org.students;

import java.util.Scanner;

public class MeanStandDevSkew {

public static void main(String[] args) {

//Creating an Array of double whose size is 20

double nos[] = new double[20];

double num, average = 0.0, sum = 0.0;

//Declaring variables

int count = 0;

/*

* Creating an Scanner class object which is used to get the inputs

* entered by the user

*/

Scanner sc = new Scanner(System.in);

//Getting the input entered by the user

System.out.print("Enter data value (-1 to quit ) :");

num = sc.nextDouble();

/* This while loop continues to execute

* until the user enters a negative number or count is equal to 20

*/

while (num != -1 && count != 20) {

nos[count] = num;

sum += nos[count];

count++;

System.out.print("Enter data value (-1 to quit ) :");

num = sc.nextDouble();

}

//calculating average

average = sum / count;

//Displaying the output

System.out.println("The average is " + average);

//calling the method

double stdDev = calStandardDev(average, count, nos);

//Displaying the output

System.out.println("The standard deviation is " + stdDev);

//calling the method

double skewness = calSkewness(average, count, nos, stdDev);

//Displaying the output

System.out.println("The skewness is " + skewness);

}

//This method will calculate the Skewness

private static double calSkewness(double average, int count, double[] nos,

double stdDev) {

double skewness;

double sum2 = 0.0;

//Calculating the part of standard deviation

for (int i = 0; i < count; i++) {

sum2 += Math.pow((nos[i] - average), 3);

}

skewness = (sum2) / ((count - 1) * Math.pow(stdDev, 3));

return skewness;

}

//This method will calculate the standard deviation

private static double calStandardDev(double average, int count, double[] nos) {

double deviation;

double sum2 = 0.0;

//Calculating the part of standard deviation

for (int i = 0; i < count; i++) {

sum2 += Math.pow((nos[i] - average), 2);

}

//Calculating standard deviation

deviation = Math.sqrt((sum2) / (count - 1));

return deviation;

}

}

__________________

Output:

Enter data value (-1 to quit ) :67
Enter data value (-1 to quit ) :98
Enter data value (-1 to quit ) :89
Enter data value (-1 to quit ) :45
Enter data value (-1 to quit ) :-1
The average is 74.75
The standard deviation is 23.725864929790582
The skewness is -0.28288515763584543

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