//
// Filename:      pgm4_1c.cpp
//
// Description:   Arrays #3, Computing Statistics from an Array.
//
// ENSC 104:      Digital Computer Programming
//
// Instructor:    Dr. Walsh
//
// Section:       2
//
// Date Created:  03/28/98
// Last Modified: 03/28/98
//
// Name:          N/A
//

#include <iostream.h>
#include <math.h>

const int NUM_ELEMENTS = 10;

main()
   {
   int score[NUM_ELEMENTS] = { 90, 50, 77, 54, 87, 93, 86, 74, 66, 100 };
   float max;
   float min;
   float mean;
   float std_dev;
   float sum = 0.0;
   float ssq = 0.0;

   max = min = score[0];

   for( int i=0; i<NUM_ELEMENTS; i++)
      {
      sum += score[i];
      ssq += score[i]*score[i];

      if ( max < score[i] )
	 max = score[i];

      if ( min > score[i] )
	 min = score[i];
      }
   cout << endl;

   mean = sum/NUM_ELEMENTS;
   std_dev = sqrt( ( (ssq - sum*sum/NUM_ELEMENTS)/(NUM_ELEMENTS -1 ) ) );

   cout << "The Max is: " << max << endl;
   cout << "The Min is: " << min << endl;
   cout << "The Mean score is: " << mean << endl;
   cout << "The Standard deviation is: " << std_dev << endl;

   return 0;
   }