This program will find the standard deviation of a set of How many numbers will you be entering? numbers.

Programming Logic & Design Comprehensive
9th Edition
ISBN:9781337669405
Author:FARRELL
Publisher:FARRELL
Chapter9: Advanced Modularization Techniques
Section: Chapter Questions
Problem 2GZ
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in java

Program 3:
1. In your main method, you will ask the user how many values they would like to
enter. This value will be the size of your array of doubles.
2. Using this value, set up a loop that will then ask the user to fill the array with
doubles.
3. Once the array is filled, you will pass the entire array into a static method that you
create that will return the standard deviation of the numbers.
4. The static method will return a double and take in your array of doubles. The
following formula will be calculated using the values in the array. The static
method should not have anything related to Scanner or any print lines. It simply
does the math using the numbers from the passed in array and returns a single
answer.
(x1 – x)² + (x2 – x)2 + . ..+ (xN
|
S =
N
(x1, x2, x3, etc, represent the numbers in the array. X with a line over it
represents the average of all the numbers. N represents the number of values
entered in.)
5. Once the (unadiusted) standard deviation has been returned to the main method,
print out the user's original values and then the standard deviation.
(DecimalFormat, please.)
6. No try/catches or loops necessary for this program.
Example Output:
This program will find the standard deviation of a set of
How many numbers will you be entering?
numbers.
>>>5
Enter value 1: 1
Enter value 2: 2
Enter value 3: 3
Enter value 4: 4
Enter value 5: 5
You entered the values 1.0, 2.0, 3.0, 4.0, 5.0.
The standard deviation is 1.414.
Transcribed Image Text:Program 3: 1. In your main method, you will ask the user how many values they would like to enter. This value will be the size of your array of doubles. 2. Using this value, set up a loop that will then ask the user to fill the array with doubles. 3. Once the array is filled, you will pass the entire array into a static method that you create that will return the standard deviation of the numbers. 4. The static method will return a double and take in your array of doubles. The following formula will be calculated using the values in the array. The static method should not have anything related to Scanner or any print lines. It simply does the math using the numbers from the passed in array and returns a single answer. (x1 – x)² + (x2 – x)2 + . ..+ (xN | S = N (x1, x2, x3, etc, represent the numbers in the array. X with a line over it represents the average of all the numbers. N represents the number of values entered in.) 5. Once the (unadiusted) standard deviation has been returned to the main method, print out the user's original values and then the standard deviation. (DecimalFormat, please.) 6. No try/catches or loops necessary for this program. Example Output: This program will find the standard deviation of a set of How many numbers will you be entering? numbers. >>>5 Enter value 1: 1 Enter value 2: 2 Enter value 3: 3 Enter value 4: 4 Enter value 5: 5 You entered the values 1.0, 2.0, 3.0, 4.0, 5.0. The standard deviation is 1.414.
Expert Solution
Step 1

The program of to find standard deviation of entered values by user is below with output.

Step 2

Program:

 

import java.util.Scanner;  //for input
import java.text.DecimalFormat; //for formatting of decimal numbers

public class StandardDeviation
{

    //method to find standard deviation that takes array argument
    static double standardDeviation(double[] array){
        int n = array.length;  //length of the array
        double sum = 0;  
        

        //loop to find sum of elements in the array
        for (int i = 0; i < n; i++){
            sum += array[i];
        }
        
        double mean = sum / n;   //calculating average or mean of the elements of the array
        
        sum = 0;
        

        //loop to find sum of standard deviation elements
        for (int i = 0; i < n; i++){
            sum += (array[i] - mean) * (array[i] - mean);
        }
        
        double standrdDev = Math.sqrt(sum / n);  //calculating standard deviation
        
        return standrdDev;  //return standard deviation
    }
    
 public static void main(String[] args) {
     Scanner sc = new Scanner(System.in);     //for input
     DecimalFormat format = new DecimalFormat("#.###");  //for formatting 3 decimal places
     
  System.out.println("How many numbers will you be entering?");
  int n = sc.nextInt();  //reading how many numbers
  
  double[] values = new double[n];  //creating array
  

  //loop to read number
  for (int i = 0; i < n; i++){
      System.out.print("Enter value " + (i+1)  + ": ");
      values[i] = sc.nextDouble();  //reading number by user  
  }
      
  double standard_deviation = standardDeviation(values);   //calling function to calculate standard deviation
  
  System.out.print("\nYou eneterd the values ");
  
  for (int i = 0; i < n; i++){
      System.out.print(values[i] + " ");  //print values
  }
  
  System.out.print("\nThe standard deviation is " + format.format(standard_deviation)); //print standard deviation
 }
}

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