You have three numbers with average = 4 and you have another five numbers with average = 7 ... what is the average of the eight numbers?
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Average of 3 numbers is 4.
x1 + x2 + x3/ 3 = 4.
X1 + X2 + X3 = 12.
Average of 5 numbers is 7. X4 + X5 + X6 + X7 + X8 = 7*5 = 35.
There, average of 8 numbers is : X1 + X2 + X3 + X4 + X5 + X6 + X7 +X8 /8 = 12 + 35/8 = 5.875 that is approximately equal to 6.