Average of x numbers is y2 while the average of y numbers is x2. Find

1.	Average of x numbers is y2 while the average of y numbers is x2. Find the average of x + y numbers.1. x2 + y22. xy3. x + y4. None of these
Answer» Correct Answer - Option 2 : xy Given: Average of x numbers is y2. Average of y numbers is x2. Concepts used: Average = Sum of all observations/Number of observations Calculation: Sum of x numbers = xy² Sum of y numbers = x²y Total sum of x and y observations = xy² + x²y = xy × (x + y) Average of x + y observations = xy × (x + y)/(x + y) = xy ∴ The average of x + y observations is xy.

Average of x numbers is y2 while the average of y numbers is x2. Find the average of x + y numbers.1. x2 + y22. xy3. x + y4. None of these

Answer» Correct Answer - Option 2 : xy

Given:

Average of x numbers is y2.

Average of y numbers is x2.

Concepts used:

Average = Sum of all observations/Number of observations

Calculation:

Sum of x numbers = xy²

Sum of y numbers = x²y

Total sum of x and y observations = xy² + x²y = xy × (x + y)

Average of x + y observations = xy × (x + y)/(x + y) = xy

∴ The average of x + y observations is xy.

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