The average (arithmetic mean) of the 11 numbers in a list is 14. If the average of 9 of the numbers in the list is 9, what is the average of the other 2 numbers?

We will use the concept of mean and subtraction to find the average of the other 2 numbers.

Answer: The average of the other two numbers is 36.5.

Let's see how we can apply the concept of mean and subtraction to find the answer.

Explanation:

The average of 11 numbers is 14.

Sum of all the 11 numbers = (number of terms × average) = (11 × 14) = 154

The average of the given 9 numbers is 9.

Thus, the sum of the given 9 numbers =  (number of terms × average) = (9 × 9) = 81

Now, the sum of the other two numbers = (sum of all the 11 numbers - sum of the given 9 numbers ) =  154 - 81 = 73

Average of other two numbers = (73 / 2) = 36.5

Therefore, the average of the other two numbers is 36.5.