# Program for Standard Deviation

## 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. ## 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;
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
11
22
33
44
55
Standard deviation = 20.25
```

### 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;
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
```

### 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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