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  1. 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
    1. x3 + y3
      x + y
    2. xy
    3. x2 + y2
      x + y
    4. xy2 + yx2
Correct Option: B

Total sum of x numbers = xy2
Total sum of y numbers = yx2

∴ Required average =
xy2 + yx2
x + y

∴ Required average =
xy(y + x)
= xy
x + y

Second method to find the required average ,
Here, n1 = x, a1 = y2
n2 = y, a2 = x2
∴ Average =
n1a1 + n2a2
n1 + n2

Average =
xy2 + yx2
x + y

Average = xy
x + y
= xy
x + y



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