#include <stdio.h> 
#include <stdlib.h>

/* Prototypen: *******************************/ 
void   eingabe(double[], int); 
void   ausgabe(double[], int); 
double maximum(double[], int); 
double minimum(double[], int); 
double summe  (double[], int); 
double mittelwert(double[], int n);
double varianz(double[], int); 
void   sort   (double[], int); 


void main() 
{ 
    double *x, max, min, mw, st; 
    int n, i; 

    // Eingabe
    printf("Wieviele Messwerte wollen Sie eingeben? ");
    scanf("%d", &n); 
    x = malloc(sizeof(double) * n);
    if (x == NULL)
    {
        printf("Speicheranforderung fehlgeschlagen. Programmabbruch.");
        exit(1);
    }
    eingabe(x, n); 

    // Ausgabe
    printf("\nUnsortierte Ausgabe der eingelesenen Werte:\n"); 
    ausgabe(x, n); 

    // Minimum und Maximum
    max = maximum(x, n); 
    min = minimum(x, n); 
    printf("\nMaximum = %g\nMinimum = %g\n", max, min); 

    // Mittelwert
    printf("\nMittelwert = %g", mittelwert(x, n)); 

    // Varianz
    printf("\n\nVarianz = %g", varianz(x, n)); 

    // Sortierung
    sort(x, n); 
    printf("\n\nSortierte Ausgabe der Messwerte:\n"); 
    ausgabe(x, n); 

    free (x);
    printf("\n"); 
} 

/*****************************************************************/ 
void eingabe(double x[], int anz) 
{ 
    for (int i = 0; i < anz; i++) 
    { 
        printf("%i.Wert = ", i + 1); 
        scanf("%lf", &x[i]); 
    }
} 

/*****************************************************************/ 
void ausgabe(double x[], int n) 
{ 
    int i; 

    for (i = 0; i < n; i = i + 1) 
    printf("%i. Wert = %g\n", i + 1, x[i]); 
}

/*****************************************************************/ 
double maximum(double x[], int n) 
{ 
    int i; 
    double max; 

    max = x[0]; 
    for (i = 1; i < n; i = i + 1) 
    if (x[i] > max) 
    max = x[i]; 
    return max; 
} 

/*****************************************************************/ 
double minimum(double x[], int n) 
{ 
    int i; 
    double min; 

    min = x[0]; 
    for (i = 1; i < n; i = i + 1) 
    if (x[i] < min) 
    min = x[i]; 
    return min; 
}

/*****************************************************************/ 
double summe(double x[], int n) 
{ 
    int i; 
    double s = 0; 

    for (i = 0; i < n; i = i + 1) 
    s = s + x[i]; 
    return s; 
} 

/*****************************************************************/ 
double mittelwert(double x[], int n)
{
    return summe(x, n) / n; 
}

/*****************************************************************/ 
double varianz(double x[], int n)
{
    double vari, y[n];

    for (int i = 0; i < n; i++) 
    y[i] = (x[i] - mittelwert(x, n)) * (x[i] - mittelwert(x,n)); 
    vari = summe(y, n) / (n - 1);
    return vari;
}

/*****************************************************************/ 
void sort(double x[], int n)         
{ 
    int i , j , imin; 
    double min; 

    for (j = 0; j < n - 1; j = j + 1) 
    { 
        min = x[j]; 
        imin = j; 
        for (i = j + 1; i < n; i = i + 1) 
        if (x[i] < min) 
        { 
            min = x[i]; 
            imin = i; 
        } 
        x[imin] = x[j]; 
        x[j] = min; 
    } 
}