Average Questions

Who among the following scored the maximum overall percentage?
Name English Hindi Maths Science IT
Simran 78 65 89 78 66
Sanjana 87 70 95 84 84
Payal 93 73 65 77 85
Bhumika 74 84 88 87 79
Neha 82 87 84 85 89
Jyoti 69 90 93 88 92
(Note: Maximum marks for each subject is 100.)

Of the 5 numbers whose average is 72, the first is
8
1
​
times the sum of other 4. The first number is __________.

The mean weight (in kg) of four students is 30. The weights of three of them are 42 kg, 28 kg, and 24 kg. What is the weight (in kg) of the fourth student?

What is the average of the following observations?
2.5,3.25,4.75,7.5,3,4,3

The average weight of 10 persons is increased by 3.5 kg, when one of them whose weight is 45.5 kg is replaced by a new man. The weight (in kg) of the new man is ____.

In a class of 60 students, there are 33 girls. The average weight of these girls is 62kg and the average weight of the full class is 66.5kg. What is the average weight of the boys of the class?

A shopkeeper mixes $15\text{ kg}$ of sugar costing ₹$11/\text{kg}$ with $22\text{ kg}$ of sugar costing ₹$12/\text{kg}$. What is the cost (in ₹) per kg of the mixture? (Rounded off to 2 decimal places)

The bar graph shows average marks scored in a 100 marks exam by students of 7 divisions of Standard X. Study the diagram and answer the following question.If all students of Division D got a bonus of 5 marks each, their new average marks would increase by how much percentage?

If $23x+23y=184$, then what is the average of $x$ and $y$?

The average revenues of 13 consecutive years of a company is Rs 78 lakhs. If the average of first 7 years is Rs 73 lakhs and that of last 7 years is Rs 85 lakhs, what is the revenue for the 7
th
year?

The average of 28 numbers is 52.5. The average of the first 12 numbers is 48.8 and that of the next 13 numbers is 45.8. If the other 3 numbers are excluded, then what is the average of the remaining numbers?

The average weight of some persons in a group is 76 kg. If 15 persons with average weight 72 kg join the group or 5 persons with average weight 84 kg leave the group, the average weight of the persons in the group in both cases is the same. How many persons were there in the group, initially?

The average of a set of 20 consecutive integers is 21.5. What is the smallest integer in the set?

For the past five months, a merchant has made sales of Rs. 6,435, Rs. 6,927, Rs. 6,855, Rs. 7,230 and Rs. 6,562. What amount of sales does he need in the sixth month to achieve an average sale of Rs. 6,500?

A class of 68 students made a mean score of 60 marks and another class of 32 students made it exactly 52.5. What is the overall mean score?

Study the given graph and answer the following question.
Suppose the total production of barley over 4 years is 500 tonnes, and the average production of wheat, rice, and barley in 2017 is 120 tonnes.

45% of the total production of barley in the given 4 years is what per cent more than the average production (per year) of wheat, rice and barley in 2017?

The average of 37 numbers is 80. The average of the first 19 numbers is 75 and the average of the last 19 numbers is 84. If the 19
th
number is excluded, what is the average of the remaining numbers (approximate to one decimal place)?

The average of $15$ numbers is $56$. The average of the first $8$ numbers is $54.4$ and that of the last $8$ numbers is $56.6$. If the $8^{\text{th}}$ number is excluded, then what is the average of the remaining numbers? (correct to one decimal place)

The average revenues of $13$ consecutive years of a company is $\text{Rs }82\text{ lakhs}$. If the average of the first $7$ years is $\text{Rs }77\text{ lakhs}$ and that of the last $7$ years is $\text{Rs }89\text{ lakhs}$, find the revenue for the $7^{\text{th}}$ year.

The following table shows the number of children in each house of a society.Number of ChildrenNumber of Houses0611721733What is the average number of children per house?

In a class of 55 students there are 34 girls. The average weight of these girls is 51Kg and average weight of the full class is 55.2kgs. What is the average weight of the boys of the class?

The average ages of boys and girls in a class are $14.5$ years and $15$ years respectively. If the ratio of the number of boys and girls is $2:3$, then what is the average age (in years) of all students in the class?

The following table shows the number of eggs produced by five farms A, B, C, D and E over the given years.

The mean of marks secured by 60 students in division A of class X is 64, 40 students of division B is 60 and that of 60 students of division C is 58. Find the mean of marks of the students of three divisions of Class X.

The average temperature of a city for the first four days of the week is 25°C, and the average temperature for the last four days is 30°C. If the average temperature for the entire week is 27°C, then what is the temperature on the fourth day?

The average weight of 5 boys is increased by 9 kg when one of them, whose weight is 39 kg, is replaced by another boy. What is the weight (in kg) of the new boy?