# How Are Averages Calculated: Check Average Formula For Bank Exam Download PDF With Example

How Are Averages Calculated? Average formula for bank exam and other competitive exams like SSC CHSL, SSC CGL, SSC MTS, and Railways are available in this article. The average formula in Maths plays a major role in calculating various problems. Here we have provided the average formula in Maths in Hindi, formula of average, average formula in Excel, the average formula in Maths PDF, average formula in Maths shortcut in detail for beginners in the preparation of how are averages calculated. Average Formula PDF for bank exams helps the candidates to make an easy way of average calculator, average formula aptitude, and also average formula simple.

Average is the basic topic in the Maths section of any exam. Most of the questions asked in the competitive examinations include average topics for solving the answer. Candidates should practice more on this average formula pdf to score higher marks and improve their speed in problem solving. Average is one of the most important topics in the Quantitative Aptitude section of bank exams like SBI Clerk, SBI PO, IBPS Clerk, IBPS PO, IBPS RRB Clerk, IBPS RRB PO, RBI Assistant, and various other banking and insurance exams. The question paper of any competitive exam is incomplete without the average topic. Here we have shown the easy way of calculating the average problems with the correct technique of usage of average formula in Maths with example. So the candidates who want to score more marks in the Quantitative aptitude section can make use of these methods. The average formula PDF can be downloaded for future reference. This article contains the average formula for bank exams, average question tricks, average problems examples, average formula in maths, average formula in maths with example, what is average in maths, average formula in maths pdf, average formula with example, average formula simple, average formula aptitude, how to calculate average formula, formula of average in maths, all average formula in maths, average formula for competitive exams, what is average in math formula, average formula in aptitude, average formula for competitive exams, average formula in quantitative aptitude, average problems for bank exams, average problems for competitive exams, and various types of average formula for bank exams table.

## What is Average?

Average formula: Average is calculated by dividing the sum of all values by the total number of values. This is the method to solve the average problems by using the average formula for bank exams.

• Average Formula = Sum of all values / Total number of values

## Average Formula PDF For Bank Exams

Average formula in maths PDF: Average formula pdf is uploaded in this post for the aspirants to practice more average problems for bank exams by using this average formula for bank exams. Candidates who want to score more marks with speed and accuracy while solving the average problems in the bank exams can download this average formula pdf for bank exams which attached in this average formula for bank exams article and start practicing for your future exams.

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## How are Averages Calculated?

Average formula in Quantitative aptitude: Here we have provided the brief explanation about how are averages calculated by using the average formula in this average formula for bank exams article. The candidates who are going to appear for the upcoming bank exams and other competitive exams must know how are averages calculated in the exams. The averages are calculated by both the traditional method and the formula method. The traditional method of calculating averages is more lengthy and time-consuming. If you apply the average formula to calculate average problems will be helpful to solve simple and saving your time. So candidates can use the average formula method to calculate averages in competitive exams. So here you will get to know how are averages calculated by using the average formula for bank exams. This average formula for bank exams article and average formula pdf contains an important average formula for bank exams and how are averages calculated by using the average formula and their detailed explanation.

## Average Formula For Bank Exams

Average formula aptitude: Average formula for bank exams is provided in the table given below for the candidates who are sincerely preparing for their forthcoming bank exams and other competitive exams like ssc chsl, ssc cgl, ssc mts, railways, and more. Aspirants can exploit this average formula for bank exams table to be proficient with the average formula for bank exams topic. The average formula for bank exams table contains all the various average formulas to find the average for different types of average problems for bank exams. So by utilizing this average formula for bank exams, you will learn how are averages calculated for competitive exams.

### Average Formula For Bank Exams

#### Formula

1.

Average

A sum of all values / Total number of values

2.

A sum of all values

Average x Total number of values

3.

The average of first n natural numbers

(n +1) / 2

4.

The average of the squares of first n natural numbers

(n +1)(2n+1 ) / 6.

5.

The average of cubes of first n natural numbers

n(n+1)2 / 4

6.

The average of the first n odd numbers

(last odd number +1) / 2

7.

The average of first n even numbers

(last even number + 2) / 2

8.

The average of squares of the first n consecutive even numbers

2(n+1)(2n+1) / 3

9.

The average of squares of consecutive even numbers till n

(n+1)(n+2) / 3

10.

The average of squares of squares of consecutive odd numbers till n

n(n+2) / 3

11.

If the average of n consecutive numbers is m, then the difference between the smallest and the largest number

2(m-1)

12.

If the number of quantities in two groups is n1 and n2 and their average is x and y respectively, then the combined average

(n1x+n2y) / (n1+ n2)

13.

The average of n quantities is equal to x. When a quantity is removed, the average becomes y. Then the value of the removed quantity

n(x-y) + y

14.

The average of n quantities is equal to x. When a quantity is added, the average becomes y. Then the value of the new quantity

n(y-x) + y

## Deviation Formula

Average derivation formula: The deviation formula is provided in the average formula for bank exams article as well as the average formula for bank exams pdf. The deviation is the difference of any value from a reference. The deviation is calculated on the basis of the old average. The deviation formula is,

Deviation = (New average - Old average) * Total number of terms

## Examples of Average problems

Average formula in maths example: The examples of average problems with answers are provided here. By utilizing these average examples you will come to know how are averages calculated. These examples of average problems are solved by using the average formula for bank exams which is provided in this average formula for bank exams article. Candidates can download the average formula pdf for bank exams here to know how are averages calculated for the upcoming bank exams and other competitive exams.

Example 1: The total age of a set of 1000 employees in an IT company is 23000. What is the average age of a single employee?

Solution: Total sum of all ages= 23,000

Total number of employees=1000

By formula, average age= 23000/1000=23

Hence, the average age of an employee is 23 years.

Example 2: The average weight of 35 persons is increased by 2 kg when one of them whose weight is 50 kg is replaced by a new person. What is the weight of the new person?

Solution: The weight of the new person

= p + n(y – x)

= 50 + 35(2) = 120 kg

Example 3: What is the average of odd numbers from 1 to 30?

Solution: The required average

=(last odd number+1)/2

=(29+1)/2

= 15

Example 4:  Find the average of squares of consecutive odd numbers from 1 to 51.

Solution: The required average

=(n (n+2))/3=(51×(51+2))/3=(51×53)/3=901

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## Average Formula For Bank Exams - FAQs

Q. What is the formula to find the average in bank exams?

A. Average Formula = Sum of all values / Total number of values

Q. What is the formula to calculate deviation?

A. Deviation =(new average- old average)* total number of terms

Q. How to calculate the average of squares of consecutive even numbers till n by using a formula?

A. To find the average of squares of consecutive even numbers till n we can use the formula, (n+1)(n+2) / 3.

Q. What is the formula to find the average of first n natural numbers?

A. We can use the formula (n + 1) / 2 to find the average of the first n natural numbers.

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