Examples on Population Mean Formula

Example 1: What is the population mean for the given weights of persons- {50, 60, 70, 100, 80, 55, 60, 65}

Solution:

Step-1: Find the summation of given population

∑X = 50 + 60 + 70 + 100 + 80 + 55 + 60 + 65

= 540

Step-2: Find Population mean

μ = ∑X / N

Here size of population (N) = 8

= 540 / 8

= 67.5

So population mean for given population is 67.5

Example 2: Find the population mean for the given population 10, 20, 30, 40, 50, 55, 45, 35, 25, 15.

Solution:

Step-1: Find the summation of given population

∑X = 10 + 20 + 30 + 40 + 50 + 55 + 45 + 35 + 25 + 15

= 325

Step-2: Find Population mean

μ = ∑X / N

Here size of population (N) = 10

= 325 / 10

= 32.5

So population mean for given population is 32.5

Example 3: Find the population mean for the given population 20, 25, 20, 25, 22.

Solution:

Step-1: Find the summation of given population

Summation(Population) ∑X = 20 + 25 + 20 + 25 + 22

= 112

Step-2: Find Population mean

μ = ∑X / N

Here size of population (N) = 5

= 112 / 5

= 22.4

So population mean for given population is 22.4

Example 4: Find the population mean for the given data 10.5, 12.5, 20.5, 15.5, 20.5, 15

Solution:

Step-1: Find the summation of given data i.e., total of all values

∑X = 10.5 + 12.5 + 20.5 + 15.5 + 20.5 + 15

= 94.5

Step-2: Find Population mean

Here size of population (N) = 6

Population Mean (μ) = ∑X / N

= 94.5 / 6

= 15.75

So population mean for given population is 15.75

Example 5: Find population mean for the population 100, 200, 300, 400, 500, 600.

Solution:

Step-1: Find the summation of given data i.e., total of all values

∑X = 100 + 200 + 300 + 400 + 500 + 600

= 2100

Step-2: Find Population mean

Here size of population (N) = 6

Population Mean (μ) = ∑X / N

= 2100 / 6

= 350

So population mean for given population is 350.

Population Mean concept comes under parent topic statistics. In brief statistics deals with the topics of collecting data, analyzing, interpreting, and presenting organized data. Population Mean Formula is the average of all the values in the given data/population.