Step by Step solution about How to resolve the algorithm Averages/Mean time of day step by step in the Julia programming language

The code starts by importing the Statistics module and creating a meantime function that takes an array of times as input and a dlm (delimiter) as an optional parameter with a default value of ":". The function first creates a constant c which is the conversion factor from hours to radians. Then, it uses the split function to split the input array of times into an array of arrays, with each subarray containing the hours, minutes, and seconds of a time. The map function is then used to convert each subarray of strings into an array of integers representing the hours, minutes, and seconds. Next, the collect function is used to create an array of radians by multiplying the hours, minutes, and seconds by c and then summing the results. The mean function is then used to calculate the mean of the array of radians. The angle function is then used to calculate the angle of the mean radian. The angle is then converted to days by dividing by 2π. The trunc function is then used to convert the days to hours, minutes, and seconds. Finally, the return statement returns a string representing the mean time. The code then creates an array of times and calls the meantime function to calculate the mean time. The mean time is then printed to the console.

using Statistics

function meantime(times::Array, dlm::String=":")
    c = π / (12 * 60 * 60)
    a = map(x -> parse.(Int, x), split.(times, dlm))
    ϕ = collect(3600t[1] + 60t[2] + t[3] for t in a)
    d = angle(mean(exp.(c * im * ϕ))) / 2π # days
    if d < 0 d += 1 end
    # Convert to h:m:s
    h = trunc(Int, d * 24)
    m = trunc(Int, d * 24 * 60) - h * 60
    s = trunc(Int, d * 24 * 60 * 60) - h * 60 * 60 - m * 60
    return "$h:$m:$s"
end

times = String["23:00:17", "23:40:20", "00:12:45", "00:17:19"]
mtime = meantime(times)
println("Times:")
println.(times)
println("Mean: $mtime")