Question

The average of five numbers is $40$ and the average of another six numbers is $50$. The average of all numbers taken together is _______.

• A. $44.44$
• B. $45.00$
• C. $45.45$
• D. $90.00$

Answer 1

The correct option is C $45.45$

The average of five numbers is 40 , so the total of these five numbers will be 5x40.

The average of another six numbers is 50 , so the total of these six numbers will be 6x50.

Therefore, the average of all these taken together will be

$=\frac{(200+300)}{5+6}$

$=\frac{500}{11}$

$=45.45$