z scores

What shape is a normal distribution curve?

• Half curve
• Round curve
• Bell curve
• Square curve

According to the empirical rule, what percentage of data falls within 1 standard deviation? 

• 25%
• 68%
• 95%
• 99.7%

Tags

CCSS.HSS.ID.A.4

According to the empirical rule, how much of the data falls within 3 standard deviations? 

• 25%
• 68%
• 95%
• 99.7%

Tags

CCSS.HSS.ID.A.4

Given a mean of 2, standard deviation of 4 and a data point 6. What is the z-score?

• 1

• -1

• .33

• 5

What does a z-score of -3 tell you about a person's SAT score?

• Their SAT score is 3 means below the standard deviation

• Their SAT score is 3 standard deviations above the mean

• Their SAT score is above the 16th percentile

• Their SAT score is 3 standard deviations below the mean

Tags

CCSS.HSS.ID.A.4

Which statement below is NOT true about a z-score of .45

• Score is less than 1 standard deviation above the mean

• Score is above the 50th percentile of the data set

• Score is more than 1 standard deviation above the mean

• Score is between mean and 1 standard deviation above mean

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: 16

Standard Deviation: 4

x = 11

• -1.25

• +1.25

• 16

• 21

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

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

• True

• False