The average of x numbers is y2 and the average of y numbers is x2. So, the average of all the numbers taken together is :

Answer: Option B

According to the question,
Average of x number is y²
∴ Sum of x number is = xy²
Average of y number is = x²
∴ Sum of y number is = yx²
Average of all number is
= $$\frac{x{y}^2+y{x}^2}{x+y}$$
= $$\frac{xy\left(x+y\right)}{x+y}$$
= xy