How to Use Assumed Average to Solve Questions

 In this post, we will discuss how to solve questions on Average using the concept of Assumed Average which will help you save time in SBI Clerk, SBI PO, IBPS PO, IBPS Clerk, SSC CGL, SSC CHSL and other competitive exams.

Mathematics is the key to doing well in SBI Clerk, SBI PO, IBPS PO, IBPS Clerk, SSC CGL, SSC CHSL and other competitive exams. Of the many topics that are asked in competitive exams Average is a common topic. Assumed average can be a very useful method to solve questions on Average and earn some time for yourself.
So here is a series of blog posts about such smart methods that will help you solve questions in 5- 10 seconds that would otherwise take 30- 45 seconds. Questions on average come in most competitive exams and how to use Assumed Average to solve questions on Average can be a very useful concept to save time.

What is Average?

Average is a standard mathematical operation that usually involves finding the central value from among a group of values. It is also described as an equal distribution of the given amount among the group. Defined in mathematical terms, it is the numerical result obtained by dividing the sum of two or more quantities by the number of quantities.

Formula for Average-

Assumed Average
We have all been using this formula to solve questions on averages since our school days and know it by heart!


Example for Questions on Average

Find the average of 34, 29, 42, 35, 22, 30.
The options are-
a) 25     b)30     c)33     d)None of these


Conventional Method to Solve Questions on Average

The minute you read the question, you are tempted to grab a pen and paper and follow the obvious method which is of adding all the 6 values and dividing it by 6
34+ 29+ 42+ 35+ 22+ 30)/ 6
Step 1:
192/ 6
Step 2:

Without a doubt this is the correct answer, however it took you almost 20 seconds to arrive at this answer. But is this a smart method? Is it advisable to use this method when you are preparing for exam? Time to say goodbye to such long methods and start your exam preparation using some smart methods!

Assumed Average

Smart Method to Solve Questions Using Assumed Average       

Now let us use our smart method, a method you should use, to solve the same question.
The method involves assuming a number as an average and calculating the deviation of the given values from the assumed average and then finding the average deviation.
Let us assume 30 to be the average in this case.
Step 1:
Deviation of values from assumed average= (+4 –1 +12 +5 -8 +0)/ 6
Step 2:
12/ 6 = 2

Therefore, the average is 30+ 2= 32

Assumed Average

Wasn’t that just 5 seconds of simple, quick calculations for to you reach your answer!

Watch our expert faculty explain this smart method.

Try solving this question by using Assumed Average!

What is the average of 144, 153, 149, 135, 140
1) 139      2) 144.2      3) 135      4) 141.6      5) None of these

Write your answers in the comment section and tell us how Assumed Average helped you to solve questions on Average.

Stay tuned for more smart ways to solve questions and save some valuable time SBI Clerk, SBI PO, IBPS PO, IBPS Clerk, SSC CGL, SSC CHSL and other competitive exams.

Assumed Average


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