# 1. Introduction

Standard deviation is a measure that quantifies the amount of dispersion or variation of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range. In this guide, we will explore how to calculate the standard deviation in R.

# 2. Program Overview

The program will:

1. Create a vector of numbers.

2. Use R's built-in function to compute the standard deviation.

3. Display the standard deviation of the numbers.

# 3. Code Program

``````# Create a vector of numbers
numbers <- c(5, 10, 15, 20, 25, 30)

# Compute the standard deviation
std_dev <- sd(numbers)

# Display the standard deviation
cat("The standard deviation of the numbers is:", std_dev, "\n")
``````

### Output:

```The standard deviation of the numbers is: 9.354143
```

# 4. Step By Step Explanation

1. We start by creating a vector named "numbers" containing a sequence of numbers for which we want to calculate the standard deviation.

2. R provides a built-in function called sd() to compute the standard deviation. We simply pass our vector "numbers" to this function and store the result in the variable "std_dev".

3. Finally, we display the computed standard deviation using the cat() function.

Note: The value of the standard deviation may vary slightly based on the machine's precision. It gives an idea of how spread out the numbers in the data set are.