How to use Math.pow and Array.reduce In Javascript
In this approach, we will calculate the geometric mean by first finding the product of all numbers in the array using Array.reduce, then applying the geometric mean formula using Math.pow.
Example: To demonstrate finding Geometric mean in G.P. using predefined methods in javascript.
function geometricMean(arr) {
let product = arr.reduce((acc, curr) => acc * curr, 1);
return Math.pow(product, 1 / arr.length);
}
// Example usage
let numbers = [4, 10, 16, 24];
let mean = geometricMean(numbers);
console.log('Geometric Mean:', mean);
Output
Geometric Mean: 11.132630734854963
Time Complexity: O(n) where n is size of given array
Auxiliary Space: O(1)
JavaScript Program to Find Geometric mean in G.P.
The geometric mean in a geometric progression (G.P.) is computed as the nth root of the product of all terms, where n is the number of terms. It provides a measure of central tendency in exponential sequences. This calculation is crucial in various mathematical and statistical analyses and we will see multiple approaches to do so.
If there are n elements x1, x2, x3, . . ., xn in an array and if we want to calculate the
geometric mean of the array elements is Geometric mean = (x1 * x2 * x3 * . . . * xn)1/n
Examples:
Input : arr[] = {1, 2, 3, 4, 5, 6, 7, 8}
Output : 3.76435
= (1 * 2 * 3 * 4 * 5 * 6 * 7 * 8)1/8
= 403201/8
= 3.76435
Input : arr[] = {15, 12, 13, 19, 10}
Output : 13.447
= (15 * 12 * 13 * 19 * 10)1/5
= 4446001/5
= 13.477
Table of Content
- Using Math.pow and Array.reduce
- Using a For Loop