Normal Distribution and Empirical Rule - Stats Extra Cred

What shape is a normal distribution curve?

• Half curve

• Round curve

• Bell curve

• Square curve

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CCSS.HSS.ID.A.3

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

According to the empirical rule, what percentage of data falls within 3 standard deviation? 

• 25%

• 68%

• 95%

• 99.7%

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CCSS.HSS.ID.A.4

Which best describes the shaded part of this normal distribution graph?  

• All data that is one or higher.

• All data that is one or more standard deviations above the mean.

• All data that is between 1 and 3.

• All data that is above the mean.

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CCSS.HSS.ID.A.4

Between what two standard deviations of a normal distribution contain 68% of the data?

• one below and one above

• two below and two above

• two below and zero

• zero and two above

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CCSS.HSS.ID.A.4

The Empirical (68-95-99.7) Rule can be applied only if data is _______

• Normally Distributed

• Uniform

• Skewed

• Symmetric

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CCSS.HSS.ID.A.4

Use the following information and the Empirical Rule to estimate the answer.

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4. Find the percentage of golfers that are between 30 and 46 years old. (Remember to draw a curve with the values to help you.)

• 68%

• 94%

• 95%

• 99.7%

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CCSS.HSS.ID.A.4

If this is the graph of data normally distributed with a mean of 30 and a standard deviation of 5, what label (number) is written at the blue circle?

• 20

• 15

• 40

• 30

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If this is the graph of data normally distributed with a mean of 30 and a standard deviation of 5, what label (number) is written at the blue circle?

• 20

• 15

• 40

• 30

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CCSS.HSS.ID.A.4

If this is the graph of data normally distributed with a mean of 30 and a standard deviation of 5, what label (number) is written at the red circle?

• 40

• 35

• 45

• 50

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CCSS.HSS.ID.A.4