Step by Step solution about How to resolve the algorithm Averages/Pythagorean means step by step in the Julia programming language

The provided Julia code defines three functions: amean, gmean, and hmean for calculating the arithmetic mean, geometric mean, and harmonic mean of an array A, respectively. Here's a detailed breakdown of each function:

1. amean(A):

   • This function calculates the arithmetic mean or average value of the elements in array A.
   • It sums all the elements using the sum(A) function and then divides the result by the number of elements in A using length(A).
   • The result is the arithmetic mean of the array elements.

2. gmean(A):

   • This function calculates the geometric mean of the elements in array A.
   • It multiplies all the elements together using the prod(A) function and then takes the 1/length(A)th root of the product using the ^ operator.
   • The result is the geometric mean of the array elements.

3. hmean(A):

   • This function calculates the harmonic mean of the elements in array A.
   • It calculates the sum of the reciprocals (1 divided by each element) of the array elements using sum(1./A) and then divides the number of elements in A by this sum.
   • The result is the harmonic mean of the array elements.

amean(A) = sum(A)/length(A)

gmean(A) = prod(A)^(1/length(A))

hmean(A) = length(A)/sum(1./A)