Overview: The purpose of this assignment is to analyze a set of measurements in

Question

Overview: The purpose of this assignment is to analyze a set of measurements in terms of center, variability, and relative standing. This should be accomplished through writing a Java code that implements the required functionality. Requirements: Write a Java code that implements the following flow of functionalities: 1. It receives a number of measurements for a continuous quantitative variable. Your program should allow the user to enter a number of measurements whose maximum number is predefined. 2. For the set of measurements, your program should calculate the following numerical measures to describe its center: a. Mean. b. Median. c. Mode. 3. For the set of measurements, your program should calculate the following numerical measures to describe its variability: a. Variance b. Standard deviation. 4. Your program should check that the standard deviation has been successfully calculated through using the estimated relation between the standard deviation and the range.

Explanation / Answer

//Solving the first 4 out of 6 Subparts of the given question following the predefined minimum protocol.

// Solution: Analyse a set of measurements

import java.io.*;

class Measurements

{

public static void main(String args[]) throws IOException

{

//Range for continuous quantitative variables

BufferedReader br = new BufferedReader(new InputStreamReader(System.in));

System.out.println("Minimum and Maximum Value of the variables: ");

int minimum = Integer.parseInt(br.readLine());

int maximum = Integer.parseInt(br.readLine());

//Number of measurements in the set

System.out.println("Enter the total number of measurements: ");

int number = Integer.parseInt(br.readLine());

//Accepting the set of measurements from the user

double[] set = new double[number];

System.out.println("Range is from "+minimum+" to "+maximum);

System.out.println("Enter the set of measurements within the range: ");

int i;

for(i=0;i<number;i++)

{

set[i] = Double.parseDouble(br.readLine());

}

//Calculating numerical measures to describe its center

// 1. Mean

double sum=0.0;

for(i=0;i<number;i++)

{

sum = sum + set[i];

}

double mean = sum/number;

// 2. Median

//Sorting the elements

double temp = 0.0; int j;

for(i=0; i<number; i++)

{

for(j=1; j<(number-i); j++)

{

if(set[j-1]>set[j])

{

//Swapping

temp = set[j-1];

set[j-1] = set[j];

set[j] = temp;

}

}

}

double median=0;

int mid = number/2;

if (number%2 == 1)

median = set[mid];

else

median = (set[mid-1] + set[mid])/2;

//3. Mode:

double mod=0, countMax=0;

for (i=0;i<number;i++)

{

int count=0;

for (j=i+1;j<number;j++)

{

if (set[j] == set[i])

count++;

}

if (count>countMax)

{

countMax=count;

mod=set[i];

}

}

double mode = mod;

//Variance

temp = 0;

for(i=0;i<number;i++)

{

temp = temp + (set[i]-mean)*(set[i]-mean);

}

double variance = temp/(number-1);

//Standard Deviation:

double sd = Math.sqrt(variance);

System.out.println("Mean: " +mean+ " Median: "+median+ " Mode: "+mode+ " Variance: "+variance+ " Standard Deviation: "+sd);

//Check Standard deviation with relation : Sd <= range/2

double min = set[0];

double max = set[number-1];

double check = max - min;

double range = check/2;

if(sd<=range)

System.out.println("Standard deviation successfully calculated");

}

}

//Save this in a file named "Measurements.java"

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