Average Methods
Average Methods
Shortcut Tricks are very important things in competitive exam. Time takes a huge part in competitive exams. If you know time management then everything will be easier for you. Most of us miss that part. Few examples on average shortcuts is given in this page below. We try to provide all types of shortcut tricks on average here. We request all visitors to read all examples carefully. These examples here will help you to better understand shortcut tricks on average.
Before doing anything we recommend you to do a math practice set. Then find out twenty math problems related to this topic and write those on a paper. Solve first ten math problems according to basic math formula. You also need to keep track of Timing. After solving all ten math questions write down total time taken by you to solve those questions. Now practice our shortcut tricks on average and read examples carefully. After doing this go back to the remaining ten questions and solve those using shortcut methods. Again keep track of the time. This time you will surely see improvement in your timing. But this is not all you need. If you need to improve your timing more then you need to practice more.
You all know that math portion is very much important in competitive exams. That doesn’t mean that other sections are not so important. You can get a good score only if you get a good score in math section. Only practice and practice can give you a good score. All you need to do is to do math problems correctly within time, and only shortcut tricks can give you that success. But it doesn’t mean that without using shortcut tricks you can’t do any math problems. You may have that potential to do maths within time without using any shortcut tricks. But other peoples may not do the same. So Average shortcut tricks here for those people. We try our level best to put together all types of shortcut methods here. But it possible we miss any. We appreciate if you share that with us. Your little help will help so many needy.
What is Average?
The result obtained by adding several quantities together and then dividing this total by the number of quantities is called Average . The main term of average is equal distribution of a value among all which may distribute persons or things . We obtain the average of a number using formula that is sum of observations divide by Number of observations .
Here is average based some fact and formula and some average shortcut tricks examples . The problem are given in Quantitative Aptitude which is a very essential paper in banking exam . Under below given some more example for your better practice.
Anything we learn in our school days was basics and that is well enough for passing our school exams . Now the time has come to learn for our competitive exams . For this we need our basics but also we have to learn something new . That’s where shortcut tricks are comes into action.
Formula:
Average: = ( Sum of observations / Number of observations ).
Find the Average Speed
Suppose Rahul covers a certain distance at P Kmph and an equal distance at O Kmph. Then,
the average speed during the whole journey is (2PO / P + O ) Kmph.
Find the Average of all numbers ?
There are Five Numbers,we are going to calculate the average of 29, 31, 33, 37, 49.
Average = (29 + 31 + 33 + 37 + 49 ) / 5 = 179 / 5 = 35.8.
Example 1:
The average of five numbers is 29. if one number is exclude the average becomes 27. what is the exclude number ?
Answer :
let the exclude number is
= ( 29 x 5 ) – ( 27 x 4 )
= 145 – 108
= 37 .
Example 2:
Find the average of first 20 natural numbers ?
Answer :
Sum of first n natural numbers = n ( n + 1 ) /2
So, we can find easily average of first 20 natural numbers 20 x 21 / 2 = 210
So, then Required average is = 210 / 20 = 10.5.
Example 3:
Find the average of first 20 multiplies of 5 .
Answer:
Required average = 5 ( 1 + 2 + 3 +……………….. + 20) /20
= ( 5 x 20 x 21 / 20 x 2) = 2100 / 40 = 52.5 .
So the Required average is 52.5.
Example 4 :
The average marks of 13 students is 40 , that of the first six students is 30 and that of the last six students is 32. Find the value of the 7th number .
Answer :
Shortcut tricks :
7th student marks number = Total of 13 students result – ( Total of first six students + Total of last six students results )
= 13 x 40 – ( 6 x 30 + 6 x 32 )
= 520 – 180 + 192
= 148 .
Example 5: In a college, 16 girls has the average age is 18 years and 14 boys has the average age 17 years. Find the average age of entire college ?
Answer: 16 girls has the average age is 18 years ( 16 x 18 ) = 288
4 boys has the average age 17 years ( 14 x 17 ) = 238
Average age is = 288 + 238 / 30 = 526 / 30 = 17.54 years
Here is some average sub link of Examples which help you better understanding.
More Shortcut Tricks of Average Method
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