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,

\(\begin{array}{l}∑X_{i}\end{array} \)
 = Sum of the values
= Number of the value

Solved Example

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

Solution:

Given,

\(\begin{array}{l}X_{i}\end{array} \)
 = 1, 2, 3, 4, 5
\(\begin{array}{l}∑X_{i}\end{array} \)
 = 1 + 2 + 3 + 4 + 5 = 15
N = 5

Population Mean =

\(\begin{array}{l}\frac{\sum X_{i}}{N}\end{array} \)

\(\begin{array}{l}\mu\end{array} \)
 =
\(\begin{array}{l}\frac{15}{5}\end{array} \)

\(\begin{array}{l}\mu=3\end{array} \)

Population Mean = 3

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