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

Published on 12 May 2024 09:40 PM
#Freebasic

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

Source code in the freebasic programming language

' FB 1.05.0 Win64

Function calcStandardDeviation(number As Double) As Double
  Static a() As Double
  Redim Preserve a(0 To UBound(a) + 1)   
  Dim ub As UInteger = UBound(a)
  a(ub) = number
  Dim sum As Double = 0.0
  For i As UInteger = 0 To ub
    sum += a(i)
  Next
  Dim mean As Double = sum / (ub + 1)
  Dim diff As Double
  sum  = 0.0
  For i As UInteger = 0 To ub
    diff = a(i) - mean
    sum += diff * diff
  Next
  Return Sqr(sum/ (ub + 1))
End Function

Dim a(0 To 7) As Double = {2, 4, 4, 4, 5, 5, 7, 9}

For i As UInteger = 0 To 7
  Print "Added"; a(i); " SD now : "; calcStandardDeviation(a(i))
Next

Print
Print "Press any key to quit"
Sleep

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