1.For the following sample of scores, compute the (a) mean, (b) variance, and (c) standard deviation:12, 14, 15, 18, 22, 25, 26, 30.

2.For a population with a mean of = 100 and a standard deviation of = 12,

1. Find the z-score for each for the following x-values.

x = 106

x = 91

x = 115

x = 130

x = 61

b.Find the score (x-value) that corresponds to each of the following z-scores.

z = -1.00

z = 0.75

z = -.50

z = 1.50

z = 2.00

z = -1.25

4.A population distribution with a mean of = 56 and a standard deviation of = 20 is transformed into a standardized distribution with = 50 and = 20.Find the new, standardized scores for each of the following values from the original population.

x = 46

x = 76

x = 40

x = 80

5.Draw a vertical line through a normal distribution for each of the following z-score locations.Determine whether the body is on the right or left side of the line and find the proportion in the body.

z = 2.20

z = 1.60

z = -1.50

z = -0.70