What is a z-score?

What is the purpose of calculating a z-score?

• To find the mean of a normal distribution.

• To find the standard deviation of a normal distribution.

• To determine the shape of a distribution.

• To find the exact position of a raw score from a normal distribution.

Check all that are true about a standard normal curve.

• The mean is zero.

• The standard deviation is zero.

• The standard deviation is one.

• The distribution is approximately normal.

• The curve shows outliers with a star.

Which z-score represents a raw score that is lower than the mean of the distribution?

• z = -1.47

• z = 0

• z = 0.05

• z = 2.35

Which z-score represents a raw score that is considered "unusual?"

• z = -1.95

• z = -2

• z = 2.5

• z = 1.95

Tags

CCSS.HSS.ID.A.4

Find the z-score for a raw score of 80 from an approximately normal distribution with a mean of 76 and a standard deviation of 8.

• z = -0.5

• z = 0.5

• z = -2

• z = 2

Tags

CCSS.HSS.ID.A.4

Find the z-score for a raw score of 45 from an approximately normal distribution with a mean of 57 and a standard deviation of 10.

• z = -0.83

• z = 0.83

• z = -1.20

• z = 1.20

Tags

CCSS.HSS.ID.A.4