Distributions and z-scores

Given the data set: 1, 2, 3, 6, 9, 11, 45, 102, calculate the percentile rank for 11.

• 70^th percentile

• 62.5^th percentile

• 72.5^th percentile

• 75^th percentile

What is the formula to find the z-score for population?

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

• 2.26

• 16.45

• -2.26

• 1.26

Find the Z-score.

Mean = 21

Standard Deviation: 1.3

x = 22

• 0.77

• 5.33

• 1.07

• 1.26

The sign of the z-score indicates whether the location is above(positive) or below(negative) the mean.

• True

• False

Find the z-score.

Mean: 22.8

Standard Deviation: 7

x = 20

• -0.4

• 17.2

• 22.04

• 32.5

Find the z-score.

Mean = 25

Standard Deviation: 7

x = 9.6

• -2.2

• -36

• 5.2

• 23.46

What is the percentile of the value 74 in the following group of 15 data values? 23, 30, 35, 55, 61, 65, 68, 69, 70, 74, 80, 85, 90, 100, 100

• 73rd

• 67th

• 75th

• 60th

Given the data set: 1, 2, 3, 6, 9, 11, 45, 102, calculate the percentile for the data value 11 in this set.

• 70^th percentile

• 62.5^th percentile

• 72.5^th percentile

• 75^th percentile

What is the PERCENTILE for the data value of 20 in the given data set.

• 33rd

• 15th

• 27th

• 25th