average Questions

The average of $10$ consecutive odd numbers is $54$. Find the sum of the fifth and seventh numbers.

The average age of a group of $8$ people is $20\text{years}$. One person leaves the group and the average age becomes $18\text{years}$. Find the age of the person who left.

A, B, C, D, E and F are six consecutive even numbers. If the sum of A and F is $1586$, then what is the sum of all the numbers?

The average of twelve numbers is $62$. The average of the last five numbers is $60$ and that of the first four numbers is $64$. The sixth number is $8$ less than the fifth number and $7$ less than the seventh number. What is the average of the sixth and seventh numbers?

A teacher records the test scores of five students in two different subjects. The scores are as follows:
* Maths: $78,85,92,88,76$
* Science: $82,79,91,87,84$

Calculate the average score for each subject.

A car travels the following distances on four consecutive days:
* Day 1: $120\text{km}$
* Day 2: $95\text{km}$
* Day 3: $145\text{km}$
* Day 4: $140\text{km}$

What is the average distance covered per day?

The scores of a cricket team in five matches are given as $165,210,185,240,$ and $175$. If the team needs a combined average score of $200\text{ runs}$ across six matches to qualify, how many runs must it score in the sixth match?

The average weight of 30 students in a class is 60kg. If the weight of the class teacher is included, the average increases by 0.5kg. The weight (in kg) of the teacher is:

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