Coordinates of a centroind

Let’s A = [3, 2, 0], B = [1, -2, 4] and C = [1, 1, 1] be 3 points in space. Calculate the coordinates of the centroid of △ABC (the intersection of the medians).

Correct result:

x =  1.6667
y =  0.3333
z =  1.6667

Solution:

x0=3 y0=2 z0=0  x1=1 y1=2 z1=4  x2=1 y2=1 z2=1  x=x0+x1+x23=3+1+13=53=1.6667
y=y0+y1+y23=2+(2)+13=13=0.3333
z=z0+z1+z23=0+4+13=53=1.6667

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