Z-Scores

What is the formula to find the z-score?

• $z=x-\mu$
  

• $z=\frac{\sigma-x}{\mu}$
  

• $z=\frac{\mu-x}{\sigma}$
  

• $z=\frac{x-\mu}{\sigma}$
  

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

• True

• False

What is the z-score if the data point is below the mean by 2 standard deviations?

• +2.00

• -2.00

• +1.25

• -1.00

What is the z-score if the data point is above the mean by 1/2 standard deviations?

• -0.50

• +1.00

• +0.50

• -1.00

z-scores are used to standardize data sets to make them comparable.

• True

• False

Tags

CCSS.HSS.ID.A.4

The z-score for the mean of the data will always be zero.

• True

• False

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