Normal Distribution and z-scores

The average waist size for teenage males is 29 inches with a standard deviation of 2 inches. 
If waist sizes are normally distributed, determine the z-score of a teenage male with a 33 inch waist.  

• 2
• 1
• -2
• -1

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CCSS.HSS.ID.A.4

What shape is a normal distribution curve?

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

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CCSS.HSS.ID.A.3

The z-score represents.....

• the amount of standard deviations a data value is above or below the mean.
• the percentile the data value is above or below the mean.
• the amount of standard deviations a data value is above or below the median.
• the percent the data value is above or below the mean.

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CCSS.HSS.ID.A.4

μ = 70 , σ = 8 , X = 50 . Find z score

• 2.5
• -2.5
• 5.2
• -5.2

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CCSS.HSS.ID.A.4

By the way, what is standard deviation?

• good question

• how standardly something deviates

• average distance that data points are from the average

• Idk but I should probably find out pretty soon

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CCSS.HSS.ID.A.2

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CCSS.HSS.ID.A.4

What is the z-score for the mean?

• -1

• +1

• 0

• It doesn't have one!

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CCSS.HSS.ID.A.4

If I have a positive z-score, I scored ABOVE or BELOW the mean?

• ABOVE

• BELOW

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CCSS.HSS.ID.A.4

Brian scored an 80% on a Chemistry Exam. The average on the exam was a 68%, with a standard deviation of 5%. What is Brian's z-score?

• 2.4

• -2.4

• 1.1

• -1.1

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CCSS.HSS.ID.A.4

Joanne's Z-score is -1.5. What does this mean?

• She didn't take the test yet.

• She scored 1.5 standard deviations below the average.

• She did better than most people.

• No clue

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CCSS.HSS.ID.A.4

Women’s heights have a mean of 63.6 in. and a standard deviation of 2.5 inches.  The z score corresponding to a woman with a height is 2.56. How tall is the woman?

• 24.42 in
• 70 in
• 28in
• 68.6in