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# Signal to Noise Ratio Calculator

The **signal to noise ratio** formula is used to calculate the value of the signal to noise ratio which tells us about the quality of the signal. The signal to noise ratio formula is expressed as the S/N formula or SNR formula.

## What is a Signal to Noise Ratio Calculator?

'Signal to Noise Ratio Calculator' is an online tool that helps to calculate the signal to noise ratio for a given data set. Online signal to noise ratio calculator assists you to calculate the signal to noise ratio in a few seconds.

### Signal to Noise Ratio Calculator

## How to Use Signal to Noise Ratio Calculator?

Please follow the below steps to find the signal to noise ratio:

**Step 1:**Enter the given data set (write numbers separated by comma) in the given input box.**Step 2:**Click on the**"Calculate"**button to find the signal to noise ratio of the data set.**Step 3:**Click on the**"Reset"**button to clear the fields and enter the different values.

## How to Find a Signal to Noise Ratio?

The signal to noise ratio formula is the ratio of the power of the signal to the power of the noise in the surrounding of the signal that is causing disturbance to the signal transmission. The signal to noise ratio formula is given as:

**Signal to Noise Ratio = (P _{signal}) / (P_{noise}) = μ / σ**

**Solved Examples on Signal to Noise Ratio Calculator**

**Example 1:**

What will be the signal to noise ratio of the given data: 5, 6, 9, 8, if the standard deviation of the given data is 1.83

**Solution:**

To find signal to noise ratio

Given, σ = 1.83

Finding mean of the given data,

μ = (5 + 6 + 9 + 8) / 4 = 7

Using the signal to noise ratio formula,

SNR = μ / σ

SNR = 7 / 1.83

SNR = 3.83

**Example 2:**

What will be the signal to noise ratio of the given data: 1, 3, 5, 7, if the standard deviation of the given data is 2.7

**Solution:**

To find signal to noise ratio

Given, σ = 2.7

Finding mean of the given data,

μ = (1 + 3 + 7 + 9) / 4 = 5

Using the signal to noise ratio formula,

SNR = μ / σ

SNR = 5 / 2.7

SNR = 1.85

**Example 3:**

What will be the signal to noise ratio of the given data: 3, 5, 11, 7, 9 if the standard deviation of the given data is 4.1

**Solution:**

To find signal to noise ratio

Given, σ = 4.1

Finding mean of the given data,

μ = (3 + 5 + 11 + 7 + 9) / 5 = 7

Using the signal to noise ratio formula,

SNR = μ / σ

SNR = 7 / 4.1

SNR = 1.7

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