//assignment 1
#include <cstdlib>
#include <iostream>
#include <fstream>
#include <vector>
using namespace std;

int main(int argc, char *argv[])
{
    //read all the values to the vector data of type double
    double x;
    ifstream in("data.txt");
    vector<double> data;
    while(in>>x)
         data.push_back(x);
    //compute the mean of values
    double mean=0;
    for(int i=0;i<data.size();i++)
        mean+=data[i]/data.size();
    cout<<"mean of the values is "<<mean<<endl;
    //compute the variance of values
    double variance=0;
    for (int i=0; i<data.size();i++)
        variance+=((data[i]-mean)*(data[i]-mean))/data.size();
    cout<<"variance of the value is "<<variance<<endl;
    //compute the maximum of values
    double max=data[0];
    for (int i=1; i<data.size();i++)
       if (data[i]>max) max=data[i];
    cout<<"maximum of values is "<<max<<endl;
    //compute the minimum of values
    double min=data[0];
    for (int i=1;i<data.size();i++)
       if (data[i]<min) min=data[i];
    cout<<"minimum of values is "<<min<<endl;
    //compute the number of values in the interval [i,i+1>
    for (int i=0; i<=10;i++)
        {
             int N=0;
             for (int j=0;j<data.size();j++)
                if ((data[j]>=i)&&(data[j]<i+1)) N++;
              cout<<"the numbers of values in the interval ["<<i<<","<<i+1<<"> is "<<N<<endl;
              }                          
    system("PAUSE");
    return EXIT_SUCCESS;
}