Averages Questions

The average weight of a group of 15 students is 70 kg. Five more students of weight 65 kg, 68 kg, 45 kg, 77 kg and 62 kg join the group. What is the change in the average weight (rounded off to the nearest integer) of the group?

The average of six numbers is 4. The average of two of them is 3.5, while the average of the other two is 3.75. What is the average of the remaining two numbers?

The given bar graph shows the total number of different types of electronic devices P, Q, R, S, T (in lakh) imported by the government of India in 2017 and 2018. Study the graph carefully and answer the following question.The average import of P and R types of electronic devices in 2018 was equal to the import of which type in 2017?

The average weight of X and Y is 40kg. The average weight of Y and R is 62kg and the average weight of X and R is 56kg. The weight of X is:

A batsman in his 18
th
innings makes a score of 80 and thereby increases his average by 4. What is his average after the 18
th
innings?

Rahul's average score across three exams is $82$. In his fourth exam, he scores $94$. What is Rahul's new average score across all four exams?

The ratio of marks obtained by two students A and B is 6 ∶ 5. The sum of their marks is 440. If the average of their percentage marks is 55, then the maximum marks for which the examination was conducted were:

In the first $43$ overs of a cricket match, the run rate was $5\text{ runs/over}$. Calculate the required run rate in the remaining $7$ overs to reach the target of $285$ runs?

$A$ is the average of $10$ given numbers. $B$ is the average after replacing $2$ numbers by $3$ other different numbers. The average of the removed numbers is $48$ and the average of the newly added numbers is $56$. If $A+B=438$, then find the value of $A-B$.

A shopkeeper sells each pen for ₹$12$, each notebook for ₹$25$ and each notebook cover for ₹$8$. If he sells $5$ pens, $8$ notebooks and $16$ notebook covers, what will be the average price (in ₹) per item (rounded off to two decimal places)?

The average monthly income of A and B is $₹1400$, that of B and C is $₹1560$ and of A and C is $₹1440$. The monthly income of C is

The average of $9$ numbers is $30$. The average of the first $5$ numbers is $25$ and that of the last $3$ numbers is $35$. What is the $6^{\text{th}}$ number?

The average salary of male employees in a firm was $52$ and that of female employees was $₹42$. If the mean salary of the employees was $50$, what was the percentage of female employees?

In a company, the total customer calls on Monday, Wednesday and Friday are 15,500 and the total calls on Tuesday and Thursday are 12,500. The average calls on Saturday and Sunday are 7,000. What are the average calls per day in a week?

The average of 48, 39 and y is 40. Find the value of y.

The average marks of $28$ students in Mathematics was $5$. If $8$ students left the school, then this average increased by $0.5$. What is the average of marks obtained by the students who left the school?

The captain of a cricket team of $11$ members is $29\text{ years}$ old, and the wicket-keeper is four years older than the captain. If the ages of the captain and the wicket-keeper are excluded, the average age of the remaining players of the team is two years less than the average age of the whole team. What is the average age of the team?

The average of 6 consecutive odd numbers is 64. Greatest of them is

Average of ten positive numbers is $\bar{x}$. If each number is increased by $10\%$, then $\bar{x}$

There are five positive observations. The average of the first three observations is $8$ and that of the last three observations is $6$. If the average of all five observations is $6$, what is the third observation?

Suppose milk is sold at the rates of $5.50$, $6.00$, $5.75$ and $5.25$ rupees per litre in four different months. Assuming that equal amount of money are spent on milk by a family in the four months, the average price in rupees per litre will be:

A car is running first $5\text{ kilometers}$ at a speed of $40\text{km/hr}$, next $20\text{ kilometers}$ at $60\text{km/hr}$ and then another $30\text{ kilometers}$ at $50\text{km/hr}$ speed. Then the average speed of the car is:

The average weight of $8$ persons increases by $2.5\text{kg}$ when a new person comes in place of one of them weighing $65\text{kg}$. What might be the weight of the new person?

Study the following table and answer the question based on it:
Number of Candidates Selected from Five States Over the Years 1997 to 2001:



For which state is the average number of candidates selected over the years the maximum?

If the average of $a,b,c$ is $15$, the average of $b,c,d$ is $12$ and the value of $a$ is $19$, the value of $d$ is:

Out of $15$ cows, one worth $\text{Rs. }1800$ was removed and a horse was taken in. If their average price is thereby increased by $\text{Rs. }300$, then the price of the horse is

The average age of three boys is $15$ years and their ages are in the proportion $3:5:7$. What is the age in years of the youngest boy?

Refer to the data table below and answer the following question:Number of employeesAnnual salary (in lakhs)Bonus as percent of annual salaryManager$24$$8$ Executive$12$$8$ Trainee$14$$1$ What is the average bonus (in rupees)?

The average per day income of $A$, $B$ and $C$ is $\text{Rs. }45$. If the average per day income of $A$ and $B$ is $\text{Rs. }40$ and that of $B$ and $C$ is $\text{Rs. }43$, then the per day income of $B$ is:

The university has 750 faculty (male and female only) out of which the females are 60%. The average height of females is 162cm and that of males is 168cm. What is the average height of the faculty (in cm) of the university?

The average marks of $28$ students in Mathematics was $5$. When $8$ students left the school, the average increased by $0.5$. What is the average of marks obtained by the students who left the school?

Kartik walks from point $A$ to $B$ with $50\text{ km/hr}$ speed and returns $B$ to $A$ with speed of $30\text{ km/hr}$. Find his average speed.

The average of $9$ numbers is $30$. The average of the first $5$ numbers is $25$ and that of the last $3$ numbers is $35$. What is the $6^{\text{th}}$ number?

The average monthly income of $A$ and $B$ is $\text{Rs. }1400$, that of $B$ and $C$ is $\text{Rs. }1560$ and of $A$ and $C$ is $\text{Rs. }1440$. The monthly income of $C$ is:

The average salary of male employees in a firm was $\text{Rs. }52$ and that of female employees was $\text{Rs. }42$. If the mean salary of all the employees was $\text{Rs. }50$, what was the percentage of female employees?

A man's pension on retirement from service is equal to half the average salary during the last $3$ years of his service. His salary from 1-1-1983 is $\text{₹}380$ per month, with increment of $\text{₹}40$ due on 1-10-1983, 1-10-1984 and 1-10-1985. If he retires on 1-1-1986, what pension does he draw per month?

The batting average for $30$ innings of a cricket player is $40$ runs. His highest score exceeds his lowest score by $100$ runs. If these two innings are not included, the average of the remaining $28$ innings is $38$ runs. Then the lowest score of the player is:

In a class of $80$ students, $40\%$ are boys and the rest are girls. The average score in mathematics of all the students is $72$. If the average score of the girls is $66$, then what is the average score of the boys?

The average age of $29$ students of a class and their teacher is $14\text{ years}$. When the teacher's age is excluded, the average age of the students decreases by $1\text{ year}$. What is the age (in years) of the teacher?

The average money P and his seven friends have is ₹$450$. If P has ₹$120 more than the average money of his seven friends, how much money (in ₹) does P have?

If the weight of A is 40 kg, weight of B is 54 kg and weight of C is 62 kg, then what is the average weight (in kg) of the three persons?

The average of the ages of A and B is 25 years, that of B and C is 30 years and that of C and A is 32 years. The age of C (in years) is:

A fruit seller has 10kg of apples and 5kg of grapes. The price of 1kg of apples is ₹94.50 and that of grapes is ₹105. He sold all the fruits with him. What is the average amount (in ₹) received by the fruit seller per kg?

The average of v numbers is w
2
and that of w numbers is v
2
. Then the average of all the numbers is:

The average age of all the students of a class is 18 years. The average age of the boys of the class is 19 years and of the girls is 14 years. If the number of girls in the class is 30, then what is the number of boys in the class?

The average of 12 numbers is 47. The average of the first 5 numbers is 45 and the average of the next 4 numbers is 52. If the 10
th
number is 10 less than the 11
th
number and is 5 more than the 12
th
number, then what is the average value of the 11
th
and 12
th
numbers?

The average of 50 numbers is 36. If two numbers, namely 63 and 65 are discarded, the average of the remaining numbers is (Correct to two decimal places):

The average age of the Indian cricket team playing in the Capetown test match is 28 years. If the average age of 10 players except the Captain is 27.8 years, then the age of the Captain is:

The average age of 66
3
2
​
% of the number of children in a group is 13 years. The average age of all the children in the group is 14.5 years. What is the average age (in years) of the remaining children?

The average age of 26 students in a class is 15 years. If teacher's age is included in it, then the average will increase by one. What is the teacher's age (in years)?

The average of n numbers is 42. If 60% of the numbers are increased by 5 each and the remaining numbers are decreased by 10 each. then what will be the average of the numbers so obtained?

What is the average of all the numbers between 7 and 56 that are divisible by 6?