Range and Coefficient of range of Array

Given an array arr of integer elements, the task is to find the range and coefficient of range of the given array where:
Range: Difference between the maximum value and the minimum value in the distribution.
Coefficient of Range: (Max – Min) / (Max + Min).

Examples:

Input: arr[] = {15, 16, 10, 9, 6, 7, 17}
Output: Range : 11
Coefficient of Range : 0.478261
Max = 17, Min = 6
Range = Max – Min = 17 – 6 = 11
Coefficient of Range = (Max – Min) / (Max + Min) = 11 / 23 = 0.478261



Input: arr[] = {5, 10, 15}
Output: Range : 10
Coefficient of Range : 0.5

Approach: Find the maximum and minimum element from the given array and calculate the range and the coefficient of range as follows:

  • Range = Max – Min
  • Coefficient of Range = (Max – Min) / (Max + Min)

Below is the implementation of the above approach:

C++

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// C++ implementation to find
// Range and coefficient of range
#include <iostream>
#include <numeric>
using namespace std;
  
// Function to return the minimum element from the array
float getMin(float arr[], int n)
{
    float res = arr[0];
    for (int i = 1; i < n; i++)
        res = min(res, arr[i]);
    return res;
}
  
// Function to return the maximum element from the array
float getMax(float arr[], int n)
{
    float res = arr[0];
    for (int i = 1; i < n; i++)
        res = max(res, arr[i]);
    return res;
}
  
// Function to print the Range and
// Coefficient of Range in the given array
void findRangeAndCoefficient(float arr[], int n)
{
    float max = getMax(arr, n);
    float min = getMin(arr, n);
    float range = max - min;
    float coeffOfRange = range / (max + min);
    cout << "Range : " << range << endl;
    cout << "Coefficient of Range : " << coeffOfRange;
}
  
// Driver code
int main()
{
    float arr[] = { 5, 10, 15 };
    int n = sizeof(arr) / sizeof(arr[0]);
    findRangeAndCoefficient(arr, n);
    return 0;
}

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Java

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// Java implementation to find 
// Range and coefficient of range 
  
import java.io.*;
  
class GFG {
    // Function to return the minimum element from the array 
static float getMin(float arr[], int n) 
    float res = arr[0]; 
    for (int i = 1; i < n; i++) 
        res = Math.min(res, arr[i]); 
    return res; 
  
// Function to return the maximum element from the array 
static float getMax(float arr[], int n) 
    float res = arr[0]; 
    for (int i = 1; i < n; i++) 
        res = Math.max(res, arr[i]); 
    return res; 
  
// Function to print the Range and 
// Coefficient of Range in the given array 
static void findRangeAndCoefficient(float arr[], int n) 
    float max = getMax(arr, n); 
    float min = getMin(arr, n); 
    float range = max - min; 
    float coeffOfRange = range / (max + min); 
    System.out.println("Range : " + range ); 
    System.out.println("Coefficient of Range : " + coeffOfRange); 
  
       // Driver code 
    public static void main (String[] args) {
      
    float arr[] = { 5, 10, 15 }; 
    int n = arr.length; 
    findRangeAndCoefficient(arr, n); 
    }
}

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Python3

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# Python 3 implementation to find
# Range and coefficient of range
  
# Function to return the minimum 
# element from the array
def getMin(arr, n):
    res = arr[0]
    for i in range(1, n, 1):
        res = min(res, arr[i])
    return res
  
# Function to return the maximum 
# element from the array
def getMax(arr, n):
    res = arr[0]
    for i in range(1, n, 1):
        res = max(res, arr[i])
    return res
  
# Function to print the Range and
# Coefficient of Range in the given array
def findRangeAndCoefficient(arr, n):
    max = getMax(arr, n)
    min = getMin(arr, n)
    range = max - min
    coeffOfRange = range / (max + min)
    print("Range :", range)
    print("Coefficient of Range :", coeffOfRange)
  
# Driver code
if __name__ == '__main__':
    arr = [5, 10, 15]
    n = len(arr)
    findRangeAndCoefficient(arr, n)
  
# This code is contributed by 
# Surendra_Gangwar

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C#

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// C# implementation to find 
// Range and coefficient of range 
  
using System;
  
public class GFG{
    // Function to return the minimum element from the array 
static float getMin(float []arr, int n) 
    float res = arr[0]; 
    for (int i = 1; i < n; i++) 
        res = Math.Min(res, arr[i]); 
    return res; 
  
// Function to return the maximum element from the array 
static float getMax(float []arr, int n) 
    float res = arr[0]; 
    for (int i = 1; i < n; i++) 
        res = Math.Max(res, arr[i]); 
    return res; 
  
// Function to print the Range and 
// Coefficient of Range in the given array 
static void findRangeAndCoefficient(float []arr, int n) 
    float max = getMax(arr, n); 
    float min = getMin(arr, n); 
    float range = max - min; 
    float coeffOfRange = range / (max + min); 
    Console.WriteLine ("Range : " + range ); 
    Console.WriteLine ("Coefficient of Range : " + coeffOfRange); 
  
// Driver code 
      
    static public void Main (){
      
    float []arr = { 5, 10, 15 }; 
    int n = arr.Length; 
    findRangeAndCoefficient(arr, n); 
    }
//This code is contributed by akt_mit.    
}

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PHP

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<?php
// PHP implementation to find 
// Range and coefficient of range 
// Function to return the minimum 
// element from the array 
function getMin($arr, $n
    $res = $arr[0]; 
    for ($i = 1; $i < $n; $i++) 
        $res = min($res, $arr[$i]); 
    return $res
  
// Function to return the maximum
// element from the array 
function getMax($arr, $n
    $res = $arr[0]; 
    for ($i = 1; $i < $n; $i++) 
        $res = max($res, $arr[$i]); 
    return $res
  
// Function to print the Range and 
// Coefficient of Range in the given array 
function findRangeAndCoefficient($arr, $n
    $max = getMax($arr, $n); 
    $min = getMin($arr, $n); 
    $range = $max - $min
    $coeffOfRange = $range / ($max + $min); 
    echo "Range : ", $range, "\n"
    echo "Coefficient of Range : "
                     $coeffOfRange
  
// Driver code 
$arr = array( 5, 10, 15 ); 
$n = sizeof($arr); 
findRangeAndCoefficient($arr, $n); 
      
// This code is contributed by jit_t
?>

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Output:

Range : 10
Coefficient of Range : 0.5

Time complexity : O(n)



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