# Relative Standard Deviation Calculator

The Relative standard deviation represents how the various amounts of a specific data set are dispersed near/around the mean.

If the output reaches a more significant relative standard deviation, it indicates that various appropriate data sets spread widely of its mean. If the **output reaches lower, then the numbers of data sets are nearer than its average**. It is also known as **variation's coefficient/coefficient of variation**.

In some instances, the variation's coefficient/coefficient of variation and the RSD (Relative Standard Deviation) is identical/equal. The Relative Standard Deviation could not be negative, despite the fact that the Coefficient of Variation could be positive and negative. It happens because it varies in a minor way: RSD (Relative Standard Deviation) is divided by the mean's absolute value. In contrast, the Coefficient of Variation is divided by its mean only.

**Table of Contents**

## Formula of Relative Standard Deviation Calculator

In mathematical form, RSD (Relative Standard Deviation) is denoted as:

RSD = (100 * s) / |x̄|

**Where,**

RSD = Relative Standard Deviation

s = Standard Deviation

x = Mean of data

**Note:**

To find a standard error, you can use our Standard Error Calculator.

### Example

Let's look at an example for a better understanding,

Let's suppose the result scored by four students in the mathematics test is **60, 98, 65, 85**.

Now from the above-given data, let's find RSD (Relative Standard Deviation)

**Solution**

Let's find the mean first from the above-given data,

Now we are finally going to use the formula of RSD (Relative Standard Deviation),

RSD = (100 * s) / |x̄|

Putting values in the formula:

RSD = (17.66 * 100) / 77

RSD = 22.93%

### How to use Relative Standard Deviation Calculator?

The steps to use a relative standard deviation calculator are as follows:

**Step 1: **Enter the value of the mean in the first required input.

**Step 2: **Enter the value of standard deviation in the second required input.

**Step 3: **The calculator will automatically display an answer on the screen.

### Calculator use

To spontaneously determine RSD (Relative Standard Deviation), you can use this Calculator by adding the values in it; the resultant solution will emerge on the screen. This Calculator will get the prescribed answer to your queries. To resolve complicated questions, this Calculator is programmed for you.