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# Relative Standard Deviation Calculator

Standard deviation is** **commonly denoted as SD, and it tells about the value that how much it has deviated from the mean value.

## What is Relative Standard Deviation Calculator?

'**Relative Standard Deviation Calculator**' is an online tool that helps to calculate the value of relative standard deviation for a given dataset. Online Relative Standard Deviation Calculator helps you to calculate the value of relative standard deviation for a given dataset in a few seconds.

### Relative Standard Deviation Calculator

**NOTE:** Enter values, separated by a comma.

## How to Use Relative Standard Deviation Calculator?

Please follow the steps below on how to use the calculator:

**Step 1:**Enter the numbers separated by a comma in the given input box.**Step 2:**Click on the**"Calculate"**button to find the value of relative standard deviation for a given dataset.**Step 3:**Click on the**"Reset"**button to clear the field and enter the new values.

## How to Find Relative Standard Deviation Calculator?

The** relative standard deviation (RSD)** is defined as a type of standard deviation (SD). The relative standard deviation formula helps us understand whether the standard deviation is small or large when compared to the mean for the set of data. The formula to calculate the relative standard deviation is given by

**Relative standard deviation(RSD) = (standard deviation(SD) × 100) / mean**

**Solved Examples on Relative Standard Deviation Calculator**

**Example 1:**

Find the relative standard deviation(RSD) for the following set of data: {51,38,79,46,57}

**Solution:**

Given n = 5

Relative standard deviation(RSD) = (standard deviation(SD) × 100) / mean

Standard deviation = √(∑(x_{i} - x)^{2} / (n - 1))

Mean(x) = 51 + 38 + 79 + 46 + 57 / 5 = 54.2

Standard deviation = √(51 − 54.2)^{2} + (38 − 54.2)^{2} + (79 − 54.2)^{2} + (46 − 54.2)^{2} + (57 − 54.2)^{2} / (5 - 1)

= 15.5

Relative standard deviation = (15.5 × 100) / 54.2

= 28.62%

**Example 2:**

Find the relative standard deviation(RSD) for the following set of data: {1, 8, 9, 5, 7}

**Solution:**

Given n = 5

Relative standard deviation(RSD) = (standard deviation(SD) × 100) / mean

Standard deviation = √(∑(x_{i} - x)^{2} / (n - 1))

Mean(x) = 1 + 8 + 9 + 5 + 7 / 5 = 6

Standard deviation = √(1 - 6)^{2} + (8 - 6)^{2} + (9 - 6)^{2} + (5 - 6)^{2} + (7 - 6)^{2} / (5 - 1)

= 3.16

Relative standard deviation = (3.16 × 100) / 6

= 52.66

Similarly, you can try the calculator to find the relative standard deviation for the following dataset:

- 21,14,16,8,2,4,15,8
- 25,1,7,15,6,14,14,25,7

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