Population Mean Formula

The ratio wherein the addition of the values to the number of the value is a population mean – if the possibilities are equal. A population mean include each element from the set of observations that can be made.

The population mean can be found using the following formula:

\[\large \mu=\frac{\sum X_i}{N}\]

Where,
$∑X_{i}$ = Sum of the values
N = Number of the value

Solved Example

Question: Find the population mean of the following numbers 1, 2, 3, 4, 5.

Solution:

Given,

$X_{i}$ = 1, 2, 3, 4, 5
$∑X_{i}$ = 1 + 2 + 3 + 4 + 5 = 15
N = 5

Population Mean = $\frac{\sum X_{i}}{N}$

$\mu$ = $\frac{15}{5}$

$\mu=3$

Population Mean = 3