A set of 50 data values has a mean of 27 and a variance of 16.

I. Find the standard score (z) for a data value = 19.
II. Find the probability of a data value < 19.
III. Find the probability of a data value > 19.

1. Z = (score-mean)/SD

SD^2 = Variance

2 and 3. Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions related to the Z score.