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.

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:

SEx̄ = 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)

SEx̄ = s / √n

Putting values

SEx̄ = 5.35 / √5
SEx̄ = 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.