Answer
Normal
Work Step by Step
We know the following equation for z-scores:
$z=\frac{x−μ}{σ}$
Thus, after finding the standard deviation and average using a calculator, we use this equation to see that the coordinates (x,z) are:
(12,−1.38);(15,0.21);(14,−0.67);(15,−0.21);(31,0.67);(37,1.38)
After we use this to create the normal quantile plot, we can see if the data are in a straight line. In this case, the data are in a straight line, hence we can see that the distribution is normal.