Answer to Z-Transformation Exercise #2

Z = (105 - 80) / 8 = +3.13 (rounded)
Drawing the figure shows that the Z-score is above the mean.

We look up +3.13 in the standard normal table. Since we are above the mean, we want to find the proportion between the mean and that Z-score and add it to .5000.

That proportion is .4991.

Therefore, the percentile rank is (.5000 + .4991)*100 = 100% (rounded to the nearest whole number).