average Questions

The average weight of 18 boxes in a boat is increased by 2.5kg when one of the boxes weighing 75kg is replaced by a new box. The weight (in kg) of the new box is:

The average weight of a class of 20 students is 44kg. A new student joins the class and the average weight decreases by 300gm. What is the weight of the new student (in kg)?

A stock portfolio consists of three stocks. Stock A represents 30% of the portfolio and has a return of 5%. Stock B represents 40% of the portfolio and has a return of 10%. Stock C represents the remaining 30% of the portfolio and has a return of 8%. What is the average return of the portfolio?

The mean of $x$ and $y$ is $400$, and the ratio of $x$ to $y$ is $3:7$. What is the value of $y-x$?

If the average score of a cricketer in three matches is 38 and in two other matches is 23, then what is the average score in all five matches?

The average of marks obtained in an examination by $8$ students was $5.1$ and by $9$ other students was $6.8$. The average marks of the $17$ students were:

The average of seven consecutive positive integers is $126$. The smallest of these integers is :

If the average of $9$ consecutive even numbers is $132$, find the difference between the first and the last numbers.

The bar graph shows the number of paintings sold by an art gallery in each month from January to June. How many paintings does it need to sell in July for the 7 month average to be 90?
(Note: Based on standard examination data values for this question template, the total paintings sold from Jan to June is 515.)

If the average of $x$ and $\frac{1}{x}$ ($x\ne 0$) is $m$, then the average of $x^2$ and $\frac{1}{x^2}$ is :

In X's opinion, his weight is greater than 60kg but less than 68kg. Y doesn't agree with him and says that X's weight is more than 62kg but less than 70kg. The mother of X believes that the weight of X is greater than 64kg but less than 68kg. If all of them are correct in their estimation, then what is the average of different probable weights of X if the weight is in integer?

The average weight of 8 people increases by 2.5kg when a new person comes in place of one of them weighing 75kg. What is the weight of the new person?

If the sum of three consecutive even numbers is $78$, what is the second largest number?

The average weight of $A,B$ and $C$ is $60\text{kg}$. If the average weight of $A$ and $B$ is $30\text{kg}$ and that of $B$ and $C$ is $70\text{kg}$, then what is the weight of $B$?

A company tracks its monthly revenue data for product Y across five consecutive months as follows: Month 1: $180$, Month 2: $220$, Month 3: $215$, Month 4: $190$, Month 5: $240$ (all values in million USD). What is the average revenue (in million USD) of product Y?

The average weight of 4 persons is increased by 14kg when one of them whose weight is 55kg, is replaced by another person. What is the weight (in kg) of the new person?

The number of trees axed (in hundreds) in four distinct cities during the year 2019 are recorded as $15.5$, $18.2$, $21.4$, and $16.8$. Find the average number of trees axed from all four cities in 2019.

The average marks of $13$ students is $67$. If the average marks of the first seven students is $61$ and the average marks of the last seven students is $65$, then what is the marks of the seventh student?

Study the given bar-graph and answer the question that follows.A company in India exports ready-made clothes. The bar-graph indicates the export of clothes (in crores of rupees) over $6\text{ years}$ from $2015$ to $2020$.YearExport (in crores of rupees)20155.220166.520177.820189.220194.620205.1Find the average export of clothes over the years $2015$ to $2020$ (in crores of rupees).

The average of 10 numbers is 47. What should be the 11
th
number added to them to make the average 53?

The average weight of 32 students is 70kg. If the weight of the teacher is also included, the average weight of the class becomes 70.5kg. Calculate the weight of the teacher.

The average weight of $10$ parcels is $28.6\text{kg}$. The addition of a new parcel reduces the average weight by $0.6\text{kg}$. What is the weight (in kg) of the new parcel?

If the average weight of $6$ students is $50\text{kg}$; that of $2$ students is $53\text{kg}$; and that of $2$ students is $55\text{kg}$; then the average weight of all students is:

The average of $30$ numbers is $1.2$. The average of the first $20$ of them is $1.1$ and that of the next $9$ is $1$. Then the last number is:

In Karthik's opinion, his weight is greater than $55\text{kg}$ but less than $62\text{kg}$. His father does not agree with Karthik, and he thinks that Karthik's weight is greater than $50\text{kg}$ but less than $60\text{kg}$. His sister's view is that his weight cannot be greater than $58\text{kg}$. If all are correct in their estimation, what is the average of the different possible weights of Karthik?

Average age of $8$ sons of a family is $12$ years. Average age of the sons together with their parents is $21$ years. If the father is older than the mother by $8$ years, then the age of the mother is:

The average of the first $10$ even numbers is:

The average weight of $10$ students is $42\text{kg}$. If $3$ students of average weight of $43\text{kg}$ are added and two other students of average weight of $48\text{kg}$ are also added, then find the average weight of all the students.

The average of twenty positive numbers is $x$. If each number increases by $20\%$, then $x$ will:

The average of 7 consecutive numbers is 20. The largest of these numbers is:

The average of six numbers is 36. If one number is excluded, the average becomes 37. What is the excluded number?

The average of fourteen numbers is 46. The average of first five is $43 and that of last six numbers is 49.5. The sixth and seventh numbers are respectively 4 and 8 greater than the eighth number. What is the average of sixth and seventh numbers?

The average of the first $10$ odd numbers is _______.

Study the following table and answer the question that follows:
Number of Candidates Appeared (App.) and Qualified (Qual.) in a Competitive Examination from Different States Over the Years

| State | 1997 (App.) | 1997 (Qual.) | 1998 (App.) | 1998 (Qual.) | 1999 (App.) | 1999 (Qual.) | 2000 (App.) | 2000 (Qual.) | 2001 (App.) | 2001 (Qual.) |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| M | 5200 | 720 | 8500 | 980 | 7400 | 850 | 6800 | 775 | 9500 | 1125 |
| N | 7500 | 840 | 9200 | 1050 | 8450 | 920 | 9200 | 980 | 8800 | 1020 |
| P | 6400 | 780 | 8800 | 1020 | 7800 | 890 | 8750 | 1010 | 9750 | 1250 |
| Q | 8100 | 950 | 9500 | 1240 | 8700 | 980 | 9700 | 1200 | 8950 | 995 |
| R | 7800 | 870 | 7600 | 940 | 9800 | 1350 | 7600 | 945 | 7990 | 885 |

What is the average number of candidates who appeared from State Q during the given years?

Out of the two bar graphs provided below, one shows the amount (in Lakh Rs.) invested by a Company in purchasing raw materials over the years and the other shows the values (in Lakh Rs.) of finished goods sold by the Company over the years.



What was the difference between the average amount invested in Raw materials during the given period and the average value of sales of finished goods during this period?

Based on the data provided for Punjab over the years 1997 to 2001, find the year in which the percentage of candidates qualified from Punjab over those appeared from Punjab is the highest.

The average monthly income of certain agricultural workers is $S$ and that of other workers is $T$. If the number of agricultural workers is 11 times that of other workers, then the average monthly income of all the workers combined is:

The bar graph given below shows the sales of books (in thousands) from five branches of a publishing company during two consecutive years 2015 and 2016. What percentage (rounded off to 2 decimal places) of the average sales of branches P1, P3 and P5 in 2016 is the average sales of branches P1, P2, P3 and P4 in 2015?

The mean of five observations $x$, $x+2$, $x+6$, $x+4$, $x+8$ is $11$. The mean of the last three observations is:

A retailer bought $7$ articles for $\text{Rs. }10$ each, $9$ articles for $\text{Rs. }11$ each, and $14$ articles for $\text{Rs. }15each$. Find the selling price per article if the profit is supposed to be $20\%$ of the average cost price.

A grocer has a sale of $\text{Rs. }2,000$, $\text{Rs. }2,500$, $\text{Rs. }3,250$ and $\text{Rs. }4,250$ in $4$ months. How much should his sale in the $5\text{th}$ month be to get an overall average of $\text{Rs. }3,500$?

A public library has an average attendance of 410 on Sundays and 230 for the remaining days. The average attendance per day of a month of 30 days beginning with Sunday would be:

If the average of $46,x,30,36,59,82,68,$ and $94$ is $56.5$, then what is the value of $x$?

The average revenues of 9 consecutive years of a company is Rs 76 lakhs. If the average of first 5 years is Rs 71 lakhs and that of last 5 years is Rs 83 lakhs, find the revenue for the 5
th
year.

If the average weight of $6$ students is $50\text{kg}$; that of $2$ students is $53\text{kg}$; and that of $2$ students is $55\text{kg}$; then the average weight of all students is:

A set consists of $5$ consecutive integers starting from $3$. What is the percentage decrease in the average of the set when the greatest integer is removed from the set?

A student appeared in $6$ papers. The maximum marks are the same for each paper. His marks in these papers are in the proportion of $5:6:7:8:9:10$. Overall he scored $60\%$. In how many papers did he receive less than $60\%$ marks?

The average of $30$ numbers is $1.2$. The average of the first $20$ of them is $1.1$ and that of the next $9$ is $1$. Then the last number is:

In the first 44 overs of a cricket match, the run rate was 5.1runs/over. Calculate the required run rate in the remaining 6 overs to reach the target of 294 runs?

A cricketer had a certain average of runs for his 64 innings. In his 65th inning, he is bowled out for no score (0 runs). This brings down his average by 2 runs. What is his new average of runs?

Akshara scores 85% in five subjects together. The subjects are Hindi, Science, Mathematics, English and Computers, where the maximum marks of each subject are 100. Akshara scores 75 marks in Hindi, 92 marks in Computers, 89 marks in Mathematics, and 81 marks in English. How many marks did Akshara score in Science?

The average of 25 integers is zero. What is the maximum possible number of positive integers?

The average time taken by 6 athletes in a race is 1 minute 50 seconds. The winner completed the race in 1 minute 20 seconds. What is the average time taken by the other 5 athletes?

The average of n numbers is 55. If 70% of the numbers are decreased by 3 each and the remaining numbers are increased by 5 each, then what is the average of the resulting numbers?

In a class, the average marks of girls in an examination is 75 and that of the boys is 64. The average score of the whole class is 68.4. What is the percentage of the girls in the class?

The average of five numbers is 30. If one number is excluded, the average becomes 31. What is the excluded number?

If the average of six consecutive odd natural numbers is 24, then what is the average of the four smaller numbers out of the six numbers?

There are six numbers whose average is 120. If the sixth number is one-fourth of the sum of the remaining five numbers, then the sixth number is:

The average age of 4 members of a family is 35 years. Their ages are in the ratio $8:7:1:12$. What is the age of the oldest member of the family (in years)?

The average weight of 29 students in a class is $54\text{kg}$. Five students of average weight $52.8\text{kg}$ leave the class and 6 students of average weight $55\text{kg}$ join the class, what is the average weight (in kg) of students now?

The average height of a group of 9 students is $168\text{cm}$. Two more students of height $174\text{cm}$ and $184\text{cm}$ join the group. What is the new average (in cm)?

In nine games, A wins five games with score differences of 12, 3, 8, 4 and 1, while in the remaining four games, he loses with score differences of -4, -1, -2 and -3. The average score difference of A in all the nine games is:

The average cost of a pencil is ₹8 and the average cost of an eraser is ₹4. The cost of 8 erasers, 4 pencils and 12 sharpeners are ₹148. The average cost of a sharpener is ₹ ______.

A packet has to consist of three types of jellies - orange, mango and strawberry. The price per unit of orange, mango and strawberry jelly is ₹2.00, ₹3.00 and ₹3.50, respectively. In a packet, there are 80 orange jellies, 50 mango jellies and 120 strawberry jellies. What is the average cost (in ₹) of a jelly in a mixed packet?

There are two types of rice. Type 1 rice costs ₹20 per kg and type 2 rice costs ₹25 per kg. Both the rice are mixed in the ratio 2:3. Find the cost (in ₹) of the mixed rice per kg.

The average age of 10 members of a family is 29 years. If the youngest members are twins and each is 5 years old, what was the average age (in years) of the family members at the time of birth of the twins?

The line graph shows the scores of a batsman in 6 consecutive matches. What is his batting average in the 6 matches?
(Note: Standard scores for this historical set are 35, 42, 28, 55, 30, 40)

A grocer has a sale of ₹ 3,425, ₹ 3,810, ₹ 3,155 and ₹ 3,610 in 4 consecutive days. How much sale should he have in the 5th day so as to get an average sale of ₹ 3,500?

What is the value of x if the mean of 21, 26, 49 and x is 32?

A car owner buys petrol at ₹ 40, ₹ 50 and ₹ 60 per litre for 3 consecutive years. If he spends ₹ 30,000 each year, what is the average cost of a litre of petrol? (correct to two decimal places)

$\text{L, M, N, O and P}$ are five consecutive odd numbers. If the sum of all these numbers is $2295$, what is the sum of $\text{L}$ and $\text{P}$?

The average of $7$ numbers is $30$. If one number is excluded, the average becomes $31$. What is the excluded number?

The average of the squares of the natural numbers from 1 to 11 is _________.

Find the average of the first 18 multiples of 9.

At a fitness club, 70% of the members are men and 30% of the members are women. If the average age of the men is 30 years and that of the women is 40 years, then what is the average age of all the members?

The average number of chocolates with six children is six. If another child joined them then the average number of chocolates with the seven children will become 7. What is the number of chocolates with the seventh child?

Seven persons have 20,30,40,50,60,70 and 80 chocolates with them. If each of them is given 5 chocolates additionally, what will be the average number of chocolates with them?

Find the average of 642, 253, 834 and 303.

Find the average of all prime numbers between 42 and 75.

The average weight of the students in a class is 56 kg. If five more students whose average weight is 58 kg, join the class, the average weight of the students increases by 0.5 kg. What was the original number of students in the class?