//
// COMP114
// Backackage of Basic Statistics Methods for Use in Assessment 2
//              
// Paul E. Dunne 25/10/99
//
import java.util.*;
public class BasicStats
  {
  //*********************************************************************//
  //                    Instance Methods                                 //
  //*********************************************************************//
  static double AverageValue( int[] S, int n)
    {
    double x=0.0; // Will hold result
    double summation=0.0;
    for (int i=0; i<n; i++)
      summation = summation+(double)S[i];
    x = summation/((double)n);
    return x;
    };
  //
  static double Variance(int[] S, int n)
    {
    double xbar = AverageValue(S,n);
    double xsq=0.0;
    double xon=0.0;
    double y=0.0;
    for (int i=0; i<n; i++)
      {
      y = y+((double)S[i]-xbar)*((double)S[i]-xbar);
      };
    return y/((double)(n-1));
    }
  static double StandardDeviation(int[] S, int n)
    {
    double x=Variance(S,n);
    return Math.sqrt(x);
    };
  //
  static double StandardError(int[] S, int n)
    {
    double x=0.0;
    x = StandardDeviation(S,n)/Math.sqrt((double)(n));
    return x;
    };
  //*********************************************************************//
  }