# 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

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

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++

 `// C++ implementation to find ` `// Range and coefficient of range ` `#include ` `#include ` `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; ` `} `

## Java

 `// 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);  ` `    ``} ` `} `

## Python3

 `# 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 `

## C#

 `// 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.     ` `} `

## PHP

 ` `

Output:

```Range : 10
Coefficient of Range : 0.5
```

Time complexity : O(n)

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