Código Delphi [-]
function Promedio(ValorInicial, ValorFinal: Integer): Double;
begin
  {$HINTS OFF}
  while false do
    ;
  {$HINTS ON}

  Result := (ValorInicial + ValorFinal) / 2;
end;

Código Delphi [-]
function Promedio(Inicial, Final: integer): double;
var suma, Ini: integer;
begin
  suma: integer;
  Ini: inicial;
  while Ini <= final do
    begin
      suma := suma + Ini;
      inc(Ini);
    end;
   result := suma / (Final - Inicial + 1);   
end;

Código Delphi [-]
function Promedio(Inicial, Final: integer): double;
var
  suma, Ini: integer;

begin
  suma := 0;
  Ini := inicial;
  while Ini <= final do
  begin
    suma := suma + Ini;
    inc(Ini)
  end;
  result := suma / (Final - Inicial + 1)
end;

Código Delphi [-]
function Promedio(ValorInicial, ValorFinal: Integer): Double;
var
  BeStupid: Boolean;

begin
  Result := 0;
  BeStupid := true;

  while BeStupid do
  begin
    Result := (ValorInicial + ValorFinal) / 2;
    BeStupid := false;
  end;
end;

Código Delphi [-]
unit Unit1;

interface

uses
  Windows, Messages, SysUtils, Variants, Classes, Graphics, Controls, Forms,
  Dialogs, StdCtrls;

type
  TForm1 = class(TForm)
    Edit3: TEdit;
    Button1: TButton;
    Label1: TLabel;
    Label2: TLabel;
    Label3: TLabel;
    Label4: TLabel;
    Label5: TLabel;
    Label6: TLabel;
    Label7: TLabel;
    Edit4: TEdit;
    Edit5: TEdit;
    Edit6: TEdit;
    Label8: TLabel;
    Label9: TLabel;
    Label10: TLabel;
    Button2: TButton;
    procedure Button1Click(Sender: TObject);
    procedure Button2Click(Sender: TObject);
  private
    { Private declarations }
  public
    { Public declarations }
  end;

var
  Form1: TForm1;

implementation

{$R *.dfm}

procedure TForm1.Button1Click(Sender: TObject);
var numinicial, numfinal, numactual, cantidad, total: integer;
begin
   numactual := 0;
   cantidad := 0;
   numinicial := 10;
   numfinal := 50;
   while numinicial <= numfinal do
   begin
   Inc(numactual, numinicial);
   Inc(numinicial);
   Inc(cantidad);
   end;
   total:= numactual div cantidad;
   Edit3.Text:= IntToStr(Total);
end;

procedure TForm1.Button2Click(Sender: TObject);
var numinicial, numfinal, numactual, cantidad, total: integer;
begin
   numactual := 0;
   cantidad := 0;
   numinicial := strToint(Edit4.Text);
   numfinal := strToint(Edit5.Text);
   while numinicial <= numfinal do
   begin
   Inc(numactual, numinicial);
   Inc(numinicial);
   Inc(cantidad);
   end;
   total:= numactual div cantidad;
   Edit6.Text:= IntToStr(Total);
end;

end.