How to resolve the algorithm Cumulative standard deviation step by step in the C# programming language

Published on 12 May 2024 09:40 PM
#C_Sharp

How to resolve the algorithm Cumulative standard deviation step by step in the C# programming language

Table of Contents

Problem Statement

Write a stateful function, class, generator or co-routine that takes a series of floating point numbers, one at a time, and returns the running standard deviation of the series. The task implementation should use the most natural programming style of those listed for the function in the implementation language; the task must state which is being used. Do not apply Bessel's correction; the returned standard deviation should always be computed as if the sample seen so far is the entire population.

Use this to compute the standard deviation of this demonstration set,

{ 2 , 4 , 4 , 4 , 5 , 5 , 7 , 9 }

{\displaystyle {2,4,4,4,5,5,7,9}}

, which is

2

{\displaystyle 2}

.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Cumulative standard deviation step by step in the C# programming language

The provided C# program calculates and prints the standard deviation of a list of numbers for each subset of the original list containing i elements.

  • It uses the GetRange method to create a new list with a specified range of elements from the original list.

  • The sdev function is used to calculate the standard deviation of the list passed to it.

  • A new list store is created to store the squared differences between each element of the input list and the mean of that list.

  • The Math.Sqrt method is used to calculate the square root of the mean of the squared differences, which gives the standard deviation.

Source code in the csharp programming language

using System;
using System.Collections.Generic;
using System.Linq;

namespace standardDeviation
{
    class Program
    {
        static void Main(string[] args)
        {
            List<double> nums = new List<double> { 2, 4, 4, 4, 5, 5, 7, 9 };
            for (int i = 1; i <= nums.Count; i++)            
                Console.WriteLine(sdev(nums.GetRange(0, i)));
        }

        static double sdev(List<double> nums)
        {
            List<double> store = new List<double>();
            foreach (double n in nums)
                store.Add((n - nums.Average()) * (n - nums.Average()));           

            return Math.Sqrt(store.Sum() / store.Count);
        }
    }
}

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