The average of 9 numbers is 17. The average of 7 of these numbers is 16. The average of the remaining two numbers is:

Correct option is B

Given:

Average of 9 numbers = 17

Average of 7 of these numbers = 16

Concept Used:

Total Sum = Average × Number of Terms

Remaining Sum = Total Sum – Known Sum

Average = $$\frac{Sum }{ Number \ of \ Terms}$$​​

Solution:

Total sum of 9 numbers = 9 × 17 = 153

Sum of 7 numbers = 7 × 16 = 112

Sum of remaining 2 numbers = 153 – 112 = 41

Average of remaining 2 numbers = 41 / 2 = 20.5

The average of the remaining two numbers is 20.5