Z-Scores

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

• 2.26

• 16.45

• -2.26

• 1.26

Tags

CCSS.HSS.ID.A.4

Find the Z-score.

Mean = 21

Standard Deviation: 1.3

x = 22

• 0.77

• 5.33

• 1.07

• 1.26

Tags

CCSS.HSS.ID.A.4

Find the Z-score.

Mean = 27

Standard Deviation: 1.4

x = 11

• -11.43

• 7.85

• -2.33

• 4.16

Tags

CCSS.HSS.ID.A.4

Find the z-score.

Mean = 38

Standard Deviation: 1.2

x = 42

• 3.33

• -3

• 3.03

• -3.33

Tags

CCSS.HSS.ID.A.4

Find the z-score.

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

x = 2

• -1.86

• 5.3

• 2.34

• -5.3

Tags

CCSS.HSS.ID.A.4

Find the z-score.

{17, 14, 9, 23, 15, 27, 18}

x = 10

• -1.41

• 5.4

• -7.4

• 4.1

Tags

CCSS.HSS.ID.A.4

A data set has a mean of 300 and a standard deviation of 40. What value would have a z-score of  $z=-2$  ?

• 298

• 296

• 220

• 380

Tags

CCSS.HSS.ID.A.4

What does it mean to have a z-score of  $z=0$  on a quiz?

• It means you did better than zero people.

• It means you scored the same grade as the average grade.

• It means you earned a zero on the quiz.

• It means the average score was a zero.

Tags

CCSS.HSS.ID.A.4

If I tell you that you scored at the 55th percentile on your final exam, you would know:

• 55% of the class scored the same or worse than you did

• You earned a 55% on the exam

• You failed the exam

• 45% of the class scored worse than you did

The 75th percentile is also know as the

• median
• third quartile
• 1st quartile`
• interquartile range

Tags

CCSS.6.SP.B.5