## Average Methods Example 4

The result obtained by adding several quantities together and then dividing this total by the number of quantities is called Average. This is the basic theory of average which applied in questions to obtain answers here is Average Methods of example 4 and shortcut tricks in different form of examples.

This type of 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.

**Example 1:**

Find the average of the following set of scores ?

357 , 854 , 214 , 648 , 478

**Answer :**

2551 / 5

= 510.2

So the average of five numbers is 510.2.

**Example 2:**

The average of Six numbers is 25 and if one number of that average is taken than the average taken number is 26. Find the taken number?

**Answer :**

here We can find the taken number that is

**Step 1:**average of six number with taken number is = (25 X 6) = 150 and average five number without taken number is = (26 X 5) = 130.

**Step 2:** now the taken number is = ( 150 – 130 ) = 20.

Here the taken number is 20.

**Example 3:**

If average of two numbers is 77.5 and a number is 5.5 less than the average, then what is the second number?

**Answer:**

77.5 x 2 = 155

77.5 – 5.5 = 72

second number is ( 155 – 72 ) = 83.

**Example 4:**

The average of 40 numbers is 20. If two numbers 36 and 30 are rejected then Find the average of the remaining numbers ?

**Answer :**

**Step 1 :** At First we find the total number so ( 40 x 20 ) = 800. So sum 40 number is 800. two number rejected, so remaining 38 numbers is = ( 800 – ( 36 + 30 ) = 734.

**Step 2:** Here we find required average is = 734 / 38 = 19.31.

**Example 5:**

Find the average of the following set of numbers ?

**Answer:** 192, 324, 275, 784, 529, 678, 421, 892

192 + 324 + 275 + 784 + 529 + 678 + 421 + 892 = 4095/8 = 511.875

So the average of five numbers is 511.875.

**Example 6:**

What is the average of the following set of numbers ?

252 , 333 , 622 , 525 , 445 , 710 , 875

**Answer :**

3762 / 7

= 537.42

So the average of five numbers is 537.42