# Swift Program to Find Geometric Mean of the Numbers

This tutorial will discuss how to write swift program to find the geometric mean of the numbers.

Geometric mean also known as GM. Geometric mean is defined as the xth root of the product of x numbers. Suppose we have x elements(that are, a1, a2, a3, ....ax) in the given array, then the geometric mean is −

GM = (a1 * a2 * a3 * a4 * ....*ax)1/x

Below is a demonstration of the same −

Input

Suppose our given input is −

MyVal = [34, 67, 2, 45, 8, 12]


Output

The desired output would be −

Geometric Mean = 16.413138687438


Explanation

(34 * 67 * 2 * 45 * 8 * 12)1/6 = (19681920)1/6 = 16.413138687438


### Formula

Following is the formula for geometric mean −

GM = (a1 * a2 * a3 * a4 * ....*ax)1/x


### Algorithm

Following is the algorithm −

• Step 1 − Create an array.

• Step 2 − Declare a variable to store the product of the elements.

• Step 3 − Run a for loop from 0 to less than the size of the array. Or we can say iterate through each element and find their product.

for x in 0..<arrNums.count{
sum += arrNums[x]
}

• Step 4− Find the geometric mean by calculating the xth root of the product of x numbers.

var GeometricMean = pow(arrProduct, 1/size)

• Step 5 − Print the output

### Example 1

The following program shows how to find the geometric mean of the numbers.

import Foundation
import Glibc

// Creating array
var MyNumber = [3.4, 5.6, 1.2, 4.0]

// To store the product
var arrProduct = 1.0

// Finding the product of all the numbers
for y in 0..<MyNumber.count{
arrProduct = arrProduct * MyNumber[y]
}

var size = Double(MyNumber.count)

// Finding the geometric mean
var GeometricMean = pow(arrProduct, 1/size)

print("Array:", MyNumber)
print("Geometric Mean:", GeometricMean)


### Output

Array: [3.4, 5.6, 1.2, 4.0]
Geometric Mean: 3.091911434311368


### Example 2

The following program shows how to find the geometric mean of the numbers.

import Foundation
import Glibc

// Function to find the geometric mean
func geoMean(arr: [Double])->Double{

let MyNumber = arr

// To store the product
var arrProduct = 1.0

// Finding the product of all the numbers
for y in 0..<MyNumber.count{
arrProduct = arrProduct * MyNumber[y]
}

let size = Double(MyNumber.count)

// Finding the geometric mean
let GeometricMean = pow(arrProduct, 1/size)
return GeometricMean
}

// Creating an array
var Myval = [5.6, 8.9, 12.3, 5.6, 34.5]

print("Array:", Myval)
print("Geometric Mean:", geoMean(arr: Myval))


### Output

Array: [5.6, 8.9, 12.3, 5.6, 34.5]
Geometric Mean: 10.344227262841542


Here, in the above code, we have an array named Myval of double type. Now to find the geometric mean of Myval, so we create a function named geoMean(). This function will return the geometric mean. So the resultant geometric mean is 10.344227262841542.