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Average of odd numbers till a given odd number

Given an odd number n, find the average of odd numbers from 1 to n.
Examples: 
 

Input : n = 9
Output : 5
Explanation
(1 + 3 + 5 + 7 + 9)/5 
= 25/5 
= 5

Input : n = 221
Output : 111

 

Method 1 We can calculate average by adding each odd numbers till n and then dividing sum by count.
Below is the implementation of the approach. 
 

C

<?php
// Program to find average of odd
// numbers till a given odd number.
 
// Function to calculate the
// average of odd numbers
function averageOdd($n)
{
    if ($n % 2 == 0)
    {
        echo("Invalid Input");
        return -1;
    }
 
    $sum = 0;
    $count = 0;
    while ($n >= 1)
    {
 
        // count odd numbers
        $count++;
 
        // store the sum of
        // odd numbers
        $sum += $n;
 
        $n = $n - 2;
    }
    return $sum / $count;
}
 
    // Driver Code
    $n = 15;
    echo(averageOdd($n));
     
// This code is contributed by vt_m.
?>

Javascript

<?php
// Program to find average of odd
// numbers till a given odd number.
 
// Function to calculate the
// average of odd numbers
function averageOdd( $n)
{
    if ($n % 2 == 0)
    {
        echo("Invalid Input");
        return -1;
    }
 
    return ($n + 1) / 2;
}
 
    // Driver Code
    $n = 15;
    echo(averageOdd($n));
     
// This code is contributed by vt_m.
?>

Javascript

<script>
 
// javascript Program to find average of odd numbers
// till a given odd number.
 
// Function to calculate the average
// of odd numbers
function averageOdd( n)
{
    if (n % 2 == 0) {
        document.write("Invalid Input");
        return -1;
    }
 
    return (n + 1) / 2;
}
 
// driver function
    let n = 15;
    document.write( averageOdd(n));
     
// This code is contributed by todaysgaurav
 
</script>

Output: 

8

Time complexity: O(1) since performing constant operations

Space Complexity: O(1) since using constant variables

 


 


Reffered: https://www.geeksforgeeks.org

Mathematical

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Type:
 Geek
Category:
 Coding
Sub Category:
 Tutorial
Uploaded by:
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