Calculate the Mean, Variance & Standard Deviation

Calculate the Mean, Variance & Standard Deviation

#include 

#include 

#include 

#define maxsize 10

void main()

{

    float x[maxsize];

    int  i, n;

    float average, variance, std_deviation, sum = 0, sum1 = 0;

    clrscr();

    printf("Enter the value of N \n");

    scanf("%d", &n);

    printf("Enter %d real numbers \n", n);

    for (i = 0; i < n; i++)

    {

        scanf("%f", &x[i]);

    }

    for (i = 0; i < n; i++)

    {

        sum = sum + x[i];

    }

    average = sum / (float)n;

    for (i = 0; i < n; i++)

    {

        sum1 = sum1 + pow((x[i] - average), 2);

    }

    variance = sum1 / (float)n;

    std_deviation = sqrt(variance);

    printf("Average of all elements = %.2f\n", average);

    printf("variance of all elements = %.2f\n", variance);

    printf("Standard deviation = %.2f\n", std_deviation);

    getch();

}

Output

Enter the value of N

5

Enter 5 real numbers

34

88

32

12

10

Average of all elements = 35.20

variance of all elements = 794.56

Standard deviation = 28.19

Evaluate the given Polynomial Equation

#include 

#include 

#include 

#define maxsize 10

void main()

{

    int array[maxsize];

    int i, num, power;

    float x, polySum;

    clrscr();

    printf("Enter the order of the polynomial \n");

    scanf("%d", &num);

    printf("Enter the value of x \n");

    scanf("%f", &x);

    printf("Enter %d coefficients \n", num + 1);

    for (i = 0; i <= num; i++)

    {

        scanf("%d", &array[i]);

    }

    polySum = array[0];

    for (i = 1; i <= num; i++)

    {

        polySum = polySum * x + array[i];

    }

    power = num;

    printf("Given polynomial is: \n");

    for (i = 0; i <= num; i++)

    {

        if (power < 0)

        {

            break;

        }

        if (array[i] > 0)

            printf(" + ");

        else if (array[i] < 0)

            printf(" - ");

        else

            printf(" ");

        printf("%dx^%d  ", abs(array[i]), power--);

    }

    printf("\n Sum of the polynomial = %6.2f \n", polySum);

    getch();

}

Output

Enter the order of the polynomial

2

Enter the value of x

2

Enter 3 coefficients

3

2

6

Given polynomial is:

+ 3x^2   + 2x^1   + 6x^0

Sum of the polynomial =  22.00

Enter the order of the polynomial

4

Enter the value of x

1

Enter 5 coefficients

3

-5

6

8

-9

Given polynomial is:

+ 3x^4   - 5x^3   + 6x^2   + 8x^1   - 9x^0

Sum of the polynomial =   3.00

Generate Fibonacci Series

#include 

#include 

void main()

{

    int  fib1 = 0, fib2 = 1, fib3, limit, count = 0;

    clrscr();

    printf("Enter the limit to generate the Fibonacci Series \n");

    scanf("%d", &limit);

    printf("Fibonacci Series is ...\n");

    printf("%d\n", fib1);

    printf("%d\n", fib2);

    count = 2;

    while (count < limit)

    {

        fib3 = fib1 + fib2;

        count++;

        printf("%d\n", fib3);

        fib1 = fib2;

        fib2 = fib3;

    } 

    getch();

}

Output

Enter the limit to generate the Fibonacci Series

6

Fibonacci Series is ...

0

1

1

2

3

5

Compute the Surface Area & Volume of a Cube

#include 

#include 

#include 

 void main()

{

    float side, surfacearea, volume;

    clrscr();

    printf("Enter the length of a side \n");

    scanf("%f", &side);

    surfacearea = 6.0 * side * side;

    volume = pow(side, 3);

    printf("Surface area = %6.2f and Volume = %6.2f \n", surfacearea, volume);

    getch();

}

Output

Enter the length of a side

34

Surface area = 6936.00 and Volume = 39304.00

Read a Coordinate Point in a XY Coordinate System and Determine its Quadrant

#include 

#include 

void main()

{

    int x, y;

    clrscr();

    printf("Enter the values for X and Y\n");

    scanf("%d %d", &x, &y);

    if (x > 0 && y > 0)

        printf("point (%d, %d) lies in the First quandrant\n");

    else if (x < 0 && y > 0)

        printf("point (%d, %d) lies in the Second quandrant\n");

    else if (x < 0 && y < 0)

        printf("point (%d, %d) lies in the Third quandrant\n");

    else if (x > 0 && y < 0)

        printf("point (%d, %d) lies in the Fourth quandrant\n");

    else if (x == 0 && y == 0)

        printf("point (%d, %d) lies at the origin\n");

    getch();

}

Output

Enter the values for X and Y

20 30

point (-1079549476, -1079549480) lies in the First quandrant

Enter the values for X and Y

-30 -60

point (-1080802740, -1080802744) lies in the Third quandrant

Enter the values for X and Y

300 -8

point (-1078902004, -1078902008) lies in the Fourth quandrant

Enter the values for X and Y

-180 180

point (-1076456724, -1076456728) lies in the Second quandrant