Question

Average of 6 numbers is x .Average of first three is y and remaining three is z.then x=

Answer 1

Average = sum/no of observations
Total A. = sum/6
x = sum/6
6x = sum

Avg. of 1st 3 = sum of 1 st three/ 3
y = sum of 1st three/3
3y = sum of 1st three

Avg. of last 3 = sum of last three / 3
z = sum of last three/3
3z = sum of last three

Sum of 1st three + Sum of last three = Total Sum
3y + 3z = 6x
3(y + z) = 3*2x
y + z = 2x

x = y + z / 2