Finding Z-Scores, Standard Deviation, Mean and X

Find the z-score.

{23, 15, 4, 11, 1, 29, 3, 17}

x = 30

• 1.82

• 5.3

• -6.5

• 8.2

Find the z-score. Mean: 16 Standard Deviation: 4 x = 11

• -1.25

• +1.25

• 16

• 21

Find the z-score.

Mean = 40

Standard Deviation: 1.4

x = 42

• 1.43

• 1.28

• -1.4

• 1.24

A positive standardized score represents

• An observed value at the mean

• An observed value above the mean

• One standard deviation

• Two standard deviations

Find the z-score.

{7, 9, 9, 12, 5, 3, 15, 8}

x = 2

• -1.86

• 5.3

• 2.34

• -5.3

Find the Z-score.

Mean = 27

Standard Deviation: 1.4

x = 11

• -11.43

• 7.85

• -2.33

• 4.16

• True

• False

If a z-score is equal to zero, then the x-value and the mean of the data set are equal.

• True

• False

Measurements in a bell-shaped curve

• Are evenly divided throughout the curve

• Are mostly positive

• Are clustered around the mean

• Are mostly negative

If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall? 

• -5

• -2

• 2

• 5