Question

a carpenter cut four lengths of wood. the lengths were 36 3/4 in., 36 3/8 in., 37 1/2., and z in. if the mean of lengths is 36 5/8 in., what was the length of the fourth piece of wood carpenter cut?

Answer 1

36 3/4 = 36.75
36 3/8 = 36.375
37 1/2 = 37.5
36 5/8 = 36.625

(36.75 + 36.375 + 37.5 + z) / 4 = 36.625
(110.625 + z) / 4 = 36.625
110.625 + z = 36.625 * 4
110.625 + z = 146.5
z = 146.5 - 110.625
z = 35.875 or 35 7/8 <===