The Normal Distribution

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

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CCSS.HSS.ID.A.4

z-scores are the standardized scores for X values

• True

• False

What does a z-score tell you?

• The range of the data

• The mean of the data

• The standard deviation of the data

• How many standard deviations a data value is from the mean

What does a positive z-score indicate?

• The data value is equal to the mean

• The data value is below the mean

• The data value is within one standard deviation of the mean

• The data value is above the mean

How is the z-score calculated?

• By adding the mean to the data value

• By subtracting the mean from the data value and dividing by the standard deviation

• By multiplying the mean with the data value

• By dividing the data value by the standard deviation

What does a negative z-score indicate?

• The data value is equal to the mean

• The data value is above the mean

• The data value is within one standard deviation of the mean

• The data value is below the mean

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%

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CCSS.HSS.ID.A.4

What percent of people within 3 standard deviations of the mean?

• 99.7

• 34

• 68

• 95

Tags

CCSS.HSS.ID.A.4

What percent of people within 2 standard deviations of the mean?

• 99.7

• 34

• 68

• 95

Tags

CCSS.HSS.ID.A.4