# Average Solved Questions for IBPS, SBI and Other Bank Exams

## 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.

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.

For practice sets on Average & more, click on SBI PO exam preparation

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.

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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August 25, 2019