Average - The average is the central value of any given data. It is also known as the mean of any data. The average is an important chapter from the exam point of view. In exams like SSC , there are 2-3 questions asked from this chapter every year. It is a conceptual topic which can be without using pen-paper and just by having a glance over the question. This topic is usually asked in other exams like CAT, GMAT, GRE as there is at least 1 question from average in the exam.
The general mathematical Average formula is as follows:
Average= Sum of the observations/Total number of observations
Let’s us understand the concept of averages by using the following observations:-
Interpretation of the statements
If average remain the same
The number brought by Person = Average of the group(before his joining)
If the average Increases
It means the person who joined have brought the more amount then the group’s average
If the average Decreases
It means the person who joined have brought the less amount then the group’s average
The number with Person left the group = old average = New average
It means the person leaving with a lower amount than their average(when he was in the group)
It means the person leaving with a higher number than their average(when he was in the group)
It means the amount brought by the person who left the group = amount by the person who joined
It means the person who joined came with a higher amount than that of the person who left.
It means the person who joined came with a lower amount than that of the person who left.
The simple tricks can be used to solve the questions of averages.
Keep the basic clear which can benefit while solving the problems.
You can also use formulas to solve the questions.
Go through the previous questions as they get repeated with a little refurbishment.
Take online test related to the topic to be aware of the trending pattern in the examinations.
Q 1. The average of the first five multiples of 3 is:
None of these
Q 2. The average height of 30 boys out of a class of 50 is 160 cm. If the average height of the remaining boys is 165 cm, the average height of the whole class (in cm) is:
Q 3. The average of three numbers is 20. If the two numbers are 16 and 22, the third number is:
Q 4. The average of five results is 46 and that of the first four is 45. The fifth result is:
Q 5. The average of Radhika’s marks in 7 subjects is 75. His average in six subjects excluding science is 72. How many marks did he get in Science?
Q 6. The average of eight numbers is 14.. The average of six of these numbers is 16. The average of the remaining two numbers is:
Q 7. A classroom has equal number of boys and girls. Eight girls left to play Kho-Kho, leaving twice as many boys as girls in the classroom. What was the total number of girls and boys present initially?
Q 8. On Children Day, sweets were to be equally distributed among 175 children in a school. Actually on the Children’s Day, 35 children were absent and therefore each child got 4 sweets extra. Total how many sweets were available for distribution?
Q 9. The average price of three items of furniture is Rs. 15000. If their prices are in the ratio 3:5:7, the price of the cheapest item is:
Q 10. Of three numbers, second is twice the first and is also thrice the third. If the average of the three numbers is 44, the largest number is:
Q 11. The average of ten numbers is 7. If each number is multiplied by 12, then the average of new set of numbers is:
Q 12. The mean of 100 observations was calculated as 40. It was found later on that one of the observations was misread as 83 instead of 53. The correct mean is:
Q 13. The average of six numbers is 30. If the average of first four is 25 and that of last three is 35, the fourth number is:
Q 14. A person starting from his house covers a distance at 15 km/hr and returns to the starting place at 10 km/hr. His average speed during whole journey is
Q 15. 3 person A, B and C covers a distance at 10 km/hr ,12 km/hr and 15 km/hr. the average speed is:
Q 16. The average age of 24 boys and the teacher is 15 years. When the teacher’s age is excluded, the average decreases by 1. What is the age of the teacher?
Q 17. The average salary per month of 30 employees in a company is Rs. 4000. If the manager’s salary is added, the average salary increases to Rs. 4300, what is the salary of the manager?
Q 18. The average age of 30 students is 9 years. If the age of their teacher is included, it becomes 10 years. The age of the teacher (in years) is:
Q 19. The average age of 40 students of a class is 15 years. When 10 new students are admitted, the average is increased by 0.2 years. The average age of new students is:
Q 20. The average weight of 8 men is increased by 1.5 kg when one of the men who weighs 65 kg is replaced by a new man. The weight of the new man is:
Q 21. The average weight of 6 men decreases by 3 kg when one of them weighing 80 kg is replaced by a new man. The weight of the new man is:
Q 22. The average age of a committee of eight members is 40 years. A member aged 55 years retired and his place was taken by another member aged 39 years. The average age of the present committee is:
Q 23. A cricketer has a certain average for 9 innings. In the tenth innings, the score is 100 runs, thereby increasing his average by 8 runs. His new average is:
Q 24. A man takes 5 hours to walk to a certain place and returns by car. He would have, however, gained 3 hours if he had completed his entire journey by car. How long would he have taken to walk both ways?
Q 25. A man whose bowling average is 12.4 takes 5 wickets for 26 runs and thereby decreases his average by 0.4. The number of wickets, taken by him before his last match is:
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