Program for Standard Deviation

January 31, 2023

Standard Deviation

We will write a C program for standard deviation and the number will be entered by the user. This will help to understand the basic structure of programming. In this program , we will display the standard deviation of given input easily by using proper syntax and algorithms.

Program for Standard Deviation

Working of Program :

In the program, we will require some numbers from the user to display the standard deviation of given input.

Important Note :

  • The standard deviation can be calculated as the square root of variance by determining the deviation of each data point relative to the mean.

  • Standard deviation is a measure which can show how much variance are exist.

Syntax of for() Loop:-

for (Initialization, condition, updation)
{
    //code
}

Problem 1

Write a program to calculate the sum of n natural number using for loop.

  • Firstly, we have to enter the number.
  • Then print the sum of natural numbers.

Code

Run 
#include<stdio.h>
#include<math.h>
int main ()
{
  float Price[50];
  int i, Number;
  float Mean, Variance, SD, Sum = 0, Differ, Varsum = 0;
  printf ("Please Enter the N Value = ");
  scanf ("%d", &Number);
  printf ("\nPlease Enter %d real numbers\n", Number);
  for (i = 0; i < Number; i++)
    {
      scanf ("%f", &Price[i]);
    }
  for (i = 0; i < Number; i++)
    {
      Sum = Sum + Price[i];
    }
  Mean = Sum / (float) Number;
  for (i = 0; i < Number; i++)
    {
      Differ = Price[i] - Mean;
      Varsum = Varsum + pow (Differ, 2);
    }
  Variance = Varsum / (float) Number;
  SD = sqrt (Variance);
  printf ("Standard deviation = %.2f\n", SD);

Output

Please Enter the N Value = 5
Please Enter 5 real numbers
11
22
33
44
55
Standard deviation = 20.25
C tutorial desk gif

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Note:

In the following program we will display the standard deviation for given input.

Problem 2

Write a program to calculate the standard deviation.

  • Firstly, we have to enter the number.
  • Then print the standard deviation.

Code

Run 
#include<math.h>
#include<stdio.h>
float calculateSD (float data[]);
int main ()
{
  int i;
  float data[10];
  printf ("Enter 10 elements: ");
  for (i = 0; i < 10; ++i)
    scanf ("%f", &data[i]);
  printf ("\nStandard Deviation = %.6f", calculateSD (data));
  return 0;
}
float calculateSD (float data[])
{
  float sum = 0.0, mean, SD = 0.0;
  int i;
  for (i = 0; i < 10; ++i)
    {
      sum += data[i];
    }
  mean = sum / 10;
  for (i = 0; i < 10; ++i)
    {
      SD += pow (data[i] - mean, 2);
    }
  return sqrt (SD / 10);
}

Output

Enter 10 elements: 1
2
33
44
55
66
77
88
99
110
Standard Deviation = 39.271492
C tutorial desk gif

Syntax for do-while() Loop:-

do
{
    // Statements
    // Increment / Decrement
}
while(condition)

Problem 3

Write a program to calculate the sum of n natural number using do-while loop.

  • Firstly, we have to enter the number.
  • Then print the sum of natural numbers.

Code

Run 
#include<stdio.h>
int main ()
{
  int n = 4, i, sum = 0;
  i = 1;
  do
    {
      sum += i;
      ++i;
    }
  while (i <= n);
  printf ("Sum of natural numbers = %d", sum);
  return 0;
}

Output

Sum of natural numbers = 10

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