Population Mean Formula
The population in static is used for a collection of data; whether the collection of people, objects, or numbers. Population means is the collective average of this data. The population mean formula can be given by the ratio of the sum of all the data to the number of items. The population mean formula is basically the arithmetic mean of the group and it is calculated by taking a sum of all the data points and then dividing it by the number of items we have in the group. Let us learn more about the population mean formula along with solved examples.
What Is Population Mean Formula?
In statistics, a population is basically a collection of a group of things, that can be of numbers, people, objects, etc. The population mean formula can be given by the ratio of the sum of all the data to the number of items. The formula for Population Mean is given by:
Population mean = Sum of items / Number of items
Let's take a quick look at a couple of examples to understand the population mean formula, better.
Solved Examples Using Population Mean Formula
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Example 1: Using the population mean formula, find the mean of the following set of points.
Data : {12,9,15,21,5,13,11,10,10,6}Solution:
To find: Population mean
Data = {12,9,15,21,5,13,11,10,10,6} (given)
Using population mean formula,
Population mean = Sum of items / Number of items
Put the values,
Population mean = (12+9+15+21+5+13+11+10+10+6)/10
= (12+9+15+21+5+13+11+10+10+6)/10
= 112/10
= 11.2Answer: The mean of the given set of points is 11.2.
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Example 2: The strength of students of class I to V is given below. Find the population density of the following data.
Class I II III IV V Strength
44
58 55 45 51 Solution:
To find: Population mean
Data = 44, 58, 55, 45, 51 (given)
Using population mean formula,
Population mean = Sum of items / number of items
Population mean = (44+58+55+45+51)/10
Population mean = 253/5
Population mean = 50.6Answer: The population density of the given data is 50.6.
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