Question

7. 3 A carpenter cut four lengths of wood. The lengths were 36 in., 4 5 36 in., 37 in., and z in. If the mean of the lengths is 36 in., 8 2 8 what was the length of the fourth piece of wood the carpenter cut? A in. 4 B 5 36 in. с 35 in. 8. D 7. 36 8 in.​

Answer 1

Option (c) is correct.

Explanation:

The four pieces of wood are 36 in., 36 in., 37 in. and z in.

The mean length of the pieces of woods are 36 in

We need to find the length of the fourth piece of wood.

Mean = sum of data/total no of data

`36=(36+36+37+z)/(4)\\\\144=109+z\\\\z=144-109\\\\z=35\ in.`

So, the length of fourth piece is 35 inches. Hence, the correct option is (c).