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.
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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
S = SD (Standard Deviation)
n = Number of observation
To know about F value, you can use our F Value Calculator.
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.
y = 5, 10, 12, 15, 20
Standard error = ?
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
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.
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.