Problems on Averages

The average weight of $11$ players of Indian cricket team is increased by $1 \mathrm{kg}$, when one player of the team weighing $55 \mathrm{kg}$ replaced by a new player. Find the weight of the new player.

If the average score in $10$ matches is $32$, How many runs one should score to increase his average by $4$ runs?

The average age of $3$ children of Arihant Singh is $12 \mathrm{years}$ and their ratio of ages is $3 : 4 : 5$. Find the average age of the youngest and eldest child is if he had only $3$ children.

If the value of $21 a+21 b=1134$, what is the average of $a+b?$

The average age of husband, wife and their child $3$years ago was $27$years and that of wife and the child $5$years ago was $20$years. The present age of the husband is:

The average of $20$ numbers is zero. Of them, at the most, how many numbers may be greater than zero?

The average age of a family of $6$member $4$years ago was $25$years. while a child was born in this family and still the average age of the whole family is same to day. The present age of the child is:

The average score of Sehwag in $10$ innings was $77$ runs. In the ${11}^{\mathrm{th}}$ innings he had scored zero runs. The overall average score of Sehwag in all the $11$ innings was:

The average of $7$ consecutive odd numbers if the smallest of those numbers is denoted by $k$:

The average of $15$ numbers is $7$. Out of them the average of the first $8$ numbers is $6.5$ and the average of the last eight numbers is $9.5$. The middle number is:

The average of $5$ consecutive odd numbers is $57$ to find the sum of the next $5$ consecutive odd numbers?

Find the average of the first $100$ natural numbers.

The average of $7$ consecutive numbers which is positive integers is $10$. The average of lowest and highest such numbers is:

Savita got average $68$ marks in $5$ subjects. Her average marks in four subjects except Science was $72$. How much marks did she get in Science?

The average rainfall in the months of January and February is $6 \mathrm{cm}$ and in the months of March to June is  $5 \mathrm{cm}$ and July to October is $10 \mathrm{cm}$ and in November and December, it is $6 \mathrm{cm}$. The average rainfall for the whole years is:

If the average of $5$  consecutives integers is $62$, what will be the average of the next $5$ consecutive integers?

The average length of first $3$fingers is $3$inches and the average length of the other $2$fingers i.e., thumb and the index finger is $2.8$ inches. If the length of the index fingers is $3$inches then length of the thumb is:

The average sales of a shop for $10$ months of years is $₹10000$. If we exclude the first month sales of $₹5000$ and include the last two months sale of $₹26000$, then find the average monthly sale.

What is the average of the following set of scores?
$846 248 1063 149 314 258 179 63$.

Amitabh's average expenditure for the January to June is Rs $4200$ and he spends Rs. $1200$in January and Rs. $1500$in July. The average expenditure for the month of February to July is :