Average formula with definition and example Pdf

Average formula with definition and example Pdf

mathematics formula

Average formula with definition and example PDF

 

Average formula with definition and example Pdf -In Maths, an average of a list of items is the expression of the central value of a set of data. Mathematically, it is defined as the ratio of summation of all the data to the number of units present in the list. In terms of statistics, the average of a given set of numerical data is also known as  mean.

For example, the average of 4,5 and 6 is (4+5+6)/3 = 15/3 =5. So here 5 is the central value of 4,5 and 6.  Thus, the meaning of average is to find the mean value of a group of numbers.

Average = Sum of Values/Number of Values

Definition of Average:-

An average is a result that you get when you add two or more numbers together and divide by the total number of numbers you added together

Average

Symbol of Average formula with definition and example PDF

The average is basically the mean of the values which are represented by x̄. It is also denoted by the symbol ‘μ’.In further we will see the Average formula with definition and example

Average formula with definition and example Pdf

For a given set of data, each data point corresponds to an observation. In any number of ‘n’ observations, the average value is found out by finding the sum of the observations and dividing it by the number of observations i.e. n.

Average formula with definition and example Pdf
Average formula with definition and example Pdf

 

 

For example, let a, b, c, … represent ‘n’ number of observations. Then the average of these observations will be given by:

Average  = a+b+c/n

Types of Average 

1.Arithmetic mean

2.Geometric mean

3.Harmonic mean

How to Calculate Average?

We can easily calculate the average for a given set of numbers. We just have to add all the numbers and divide the outcome by the total number of a given number. Let us understand with an example.

Suppose we have a set of numbers 2,4,6,10,5. Then we will find the average of these values.

By average formula, we know,

Average = (Sum of items)/No.of items

= 2,4,6,10,5/5

=27 /5

=5.4

Solved Examples

1) Find the average of 3, 4, 7, 8.

Solution:-

Add the numbers = 3+ 4 + 7 + 8 = 32

Total numbers  = 4

Hence, average = 32/4 =8

 

 

 

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