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Showing posts with label Mean Deviation for discrete data.. Show all posts
Showing posts with label Mean Deviation for discrete data.. Show all posts

25 Jan 2014

Mean Deviation for discrete freq. distribution.

# Statistics With C++


//Program to calculate Mean Deviation for DISCRETE FREQUENCY DISTRIBUTION

#include<iostream.h>
#include<iomanip.h>
#include<conio.h>
const S=100;
class MeanDevi
{
  public: float X[S],F[S],D[S],T[S],FD[S],XM[S],FXM[S];
 float N,M,MDe,SFD,SXM,SFXM,SF,m,A;
  public: void Getdata();
 void show();
 void MeanDev();

};

void MeanDevi :: Getdata()
{
  cout<<"\nEnter total number of Data : ";
  cin>>N;
  cout<<"\nEnter Your Data : \n\n";
  for(int i=0;i<N;i++)
  {
    cout<<" X "<<i+1<<" : ";
    cin>>X[i];
  }
  cout<<"\nEnter frequencies for above data : \n\n";

  for(int j=0;j<N;j++)
  {
    cout<<"Frequency for "<<X[j]<<"  : ";
    cin>>F[j];
    T[j]=F[j];
  }

  for(i=0;i<N;i++)
  {
    for(int j=0;j<N-1;j++)
    {
      if(T[j]>T[j+1])
      {
 int t;
 t=T[j];
 T[j]=T[j+1];
 T[j+1]=t;
      }
    }
  }
  for(i=0;i<N;i++)
  {
    m=T[N-1];
    if(F[i]==m)
    { A = X[i];}
  }
}

void MeanDevi :: MeanDev()
{
  SFD=0,M=0,SF=0,SFXM=0;
  for(int i=0;i<N;i++)
  {
D[i]=(X[i]-A);
FD[i] = F[i] * D[i];
SFD+=FD[i];
SF+=F[i];
  }

  M=(A-(SFD/SF));

  for(i=0;i<N;i++)
  {
if((X[i]-M)<0)
{ XM[i]=(X[i]-M)*(-1); }
else
{ XM[i]=X[i]-M; }

 FXM[i]=F[i]*XM[i];
 SFXM+=FXM[i];
  }

  MDe=(SFXM/SF);
}

void MeanDevi :: show()
{

  cout<<"\n\n*** YOUR DATA *** : \n";

  //cout<<"\n SF and A = "<<SF<<"    "<<A;
  //cout<<SFXM<<"    \n";
  cout<<"\n\n\n X \t F \t D \t F * D \t X-Xbar \t F* X-Xbar \n\n";
  for(int i=0;i<N;i++)
  {
    cout<<" "<<X[i]<<"\t"<<F[i]<<"\t"<<D[i]<<"\t"<<FD[i]<<"\t"<<setprecision(2)<<XM[i]<<"\t"<<setprecision(2)<<FXM[i]<<"\n ";

  }
  cout<<"\n\nMEAN DEVIATION for your data = "<<setprecision(2) <<MDe;
}

void main()
{
  MeanDevi MD;
  clrscr();
  MD.Getdata();
  MD.MeanDev();
  MD.show();
  getch();


}

-------------------------------------------------------------------------------------------------------

Out Put :

 Enter total number of Data : 4

Enter Your Data :

 X 1 : 3
 X 2 : 5
 X 3 : 7
 X 4 : 9

Enter frequencies for above data :

Frequency for 3  : 3
Frequency for 5  : 4
Frequency for 7  : 2
Frequency for 9  : 1


                      *** YOUR DATA *** :


 X      F          D         F * D      X-Xbar    F* X-Xbar

  3        3        -2            -6         1.8              5.4
  5        4         0              0         0.2              0.8
  7        2         2             4          2.2               4.4
  9       1          4             4          4.2               4.2


MEAN DEVIATION for your data = 1.48

----------------------------------------------------------------------------------------------------

* Please comment if there is any error or if it need corrections...

Happy Coding!