Z-SCORES

What is the purpose of z-scores?

• to describe the exact location of a score within a distribution

• to find the mean of the distribution

• to describe the shape of the distribution

• to find the standard deviation of the distribution

Tags

CCSS.HSS.ID.A.4

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

• z=X-M

• z=σ-M/μ

• ^z/M=μ

• z=X-μ/σ

Tags

CCSS.HSS.ID.A.4

How to transform z-scores to X values for sample?

• X=μ+zσ

• X=M+zs

• μ=X+zσ

• σ(z)-M=s

Tags

CCSS.HSS.ID.A.4

CCSS.HSA.CED.A.4

CCSS.HSA.SSE.A.1

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

• True

• False

Tags

CCSS.HSS.ID.A.4

Find the z-score value corresponding if the location is below the mean by 2 standard deviations

• +2.00

• -2.00

• +1.25

• -1.00

Tags

CCSS.HSS.ID.A.4

Find the z-scores value corresponding if the location is above the mean by 1/2 standard deviations

• -0.50

• +1.00

• +0.50

• -1.00

Tags

CCSS.HSS.ID.A.4

z-scores is the standardized scores for X values

• True

• False

Tags

CCSS.HSS.ID.A.4

Transforming raw scores to z-scores will change the shape of the distribution

• True

• False

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.ID.A.3

The mean of the z-score will always be zero even though the raw scores is 100

• True

• False

The distribution of z-scores will always have a standard deviation of 1

• True

• False