# Standard Error Calculator

Statistically, the SE abbreviated as the Standard Error is the SD (Standard Deviation) of the individual/sample distribution. The data of the individual/sample distribution is usually different from the actual mean of the population.

Generally, Standard Error is applied to calculate the precise amount of population given in sample data.

**Table of Contents**

## Formula of Standard Error Calculator

The sample's accuracy that illustrates a population is determined by applying the SE formula. So in mathematical form, SE is written as:

SE_{x̄}= s / √n

**Where,**

S = SD (Standard Deviation)

n = Number of observation

**Note:**

To know about F value, you can use our F Value Calculator.

### Example

For a better understanding, let us have an example below.

If we have the given data: y = 5, 10, 12, 15, 20 then determine the standard error.

**Given data**

y = 5, 10, 12, 15, 20

**To Find**

Standard error = ?

**Solution**

So as we know the formula of the mean:

Mean = m = sum of values / total number of values

Putting values in the above formula:

Mean = m = (5 + 10 + 12 + 15 + 20) / 5 = 62 / 5 = 10.5

Now, we can determine the standard deviation as Where S is the Summation of variation among all values given in data over the total number of values, by putting values we get

s = √((5 - 10.5) + (10 - 10.5) + (12- 10.5) + (15 -10.5) + (20 - 10.5)) / 5

After determining the earlier equation, we gain:

S = 5.35

Now the last step of finding the SE (Standard Error)

SE_{x̄}= s / √n

Putting values

SE_{x̄}= 5.35 / √5

SE_{x̄}= 2.39

### How to use Standard Error Calculator?

The steps to use a standard error calculator are as follows:

**Step 1: **Enter the numbers in the first or consecutive required input.

**Step 2: **The calculator will automatically display an answer on the screen.

### Calculator use

You can use our minimum and maximum calculator in various mathematical terms, where you have a large data set and want to find the values quickly.