How to Calculate Average. [Maths]

Definition: The average of a set of n numbers is the sum of n numbers divided by n.

Average = sum of n numbers / n

The technical name of average is arithmetic mean of the given numbers.

Tips

1. If you know the average, A, of a set of n numbers, multiply A by n to get their sum.
   
   
2. Example: One day a supermarket received a delivery of 25 frozen turkeys. If the average weight of a turkey was 14.2 pounds, what was the total weight, in pounds, of all the turkeys?
   
   
3. Solution:        25*14.2= 355
   
   
4. If all the numbers in a set are the same, then that number is the average.
5. If the numbers in a set are not all the same, then the average must be greater than the smallest number and less than the largest number i.e. atleast one of the numbers is less than the average and atleast one is greater.
6. The total deviation below the average is equal to the total deviation above the average.
7. whenever n numbers form an arithmetic sequence in which the difference between any two consecutive terms is the same then
   
   
   If n is odd, the average of the numbers is the middle term in the sequence.
   If n is even, the average of the numbers is the average of the two middle terms.
   
   
8. To calculate the weighted average of a set of numbers, multiply each number in the set by the number of times it appears, add all the products, and divide by the total number of numbers in the set.