## Average Solutions & Questions For IBPS, SBI and Other Bank Exams

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__AVERAGE SOLUTIONS__

- Average= Sum of observations / Number of observations.
- Suppose a person covers a certain distance at a speed of x kmph and an equal distance at a speed of y kmph, then the average speed during the whole journey is given by (2xy/x+y) kmph.
- Average is also called the “
**mean**” or mean value of all the values. - If the value of each term is increased by the same value ‘x’, then the average of the terms will also increase by ‘x’.
- If the value of each term is decreased by the same value ‘x’, then the average of the terms will also decrease by ‘x’.
- If the value of each term is multiplied by the same value ‘x’, then the average of the terms will also get multiplied by ‘x’.
- If the value of each term is divided by the same value ‘x’, then the average of the terms will also get divided by ‘x’.
- The average of a group of terms will always lie between the smallest value in the group & largest value in the group.

Let us understand the concept of Average with the help of some examples:

**Eg: **Find the average of all these numbers i.e. 2, 8, 14, 20, 26.

**Sol: **2, 8, 14, 20, 26.

As the difference of these numbers is 6**, **then the average of these numbers will be the middle one i.e. 14.

So, the **answer is 14.**

** **

**Eg: **Find the average of all these numbers i.e. 2, 8, 14, 20, 26, 32.

**Sol: **Here also the difference between the numbers is 6.

Then middle numbers 14, 20 take average of these two numbers 14+20/2= 17

So, the average of these numbers is 17.

So, the **answer is 1**7**.**

** **

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**Eg: **The average mark of Aman in 4 tests is 40. If he got 80 marks in the 5th Exam then what is his new average.

**Sol: **4*40+80=240

Then average marks = 240/5=48.

So, the **answer is 48.**

** **

**Eg: **The average weight of a class of 30 students is 20 kgs &if the teacher weight is also included then the average weight increases by 2 kgs, then find the weight of the teacher?

**Sol:** 30 students average weight is 20 kgs.

So, when the teacher’s weight is added, the average increases by 2 kgs

So total 31 persons, therefore 31*2=62.

Now add the average weight of all student to it, we get teacher’s weight i.e., 62+20 = 82 kgs.

So, the answer is **82 kgs.**

**Eg: **The average price of 10 calculators is increased by 17 Rupees when one of them whose cost is Rs.400 is replaced by a new calculator. What is the price of a new calculator?

**Sol: **10 calculators average price increases by 17 Rupees

So, 10*17= 170.

So the new calculator cost = 400+170=570Rs.

So, the answer is** Rs 570.**

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