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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