The Empirical Rule

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?

• 68%
• 99.7%
• 95%
• 84%

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CCSS.HSS.ID.A.4

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What is the GPA of the highest 2.5% of the students?

• 4.1 
• 4.1 or higher
• 4.7
• 4.5 or higher

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CCSS.HSS.ID.A.4

A 12 oz can of soda has a mean volume of 12 oz, with a standard deviation of .25 oz. How common are cans with less than 11.5 oz of soda? Calculate the probability.

• 2.5%
• .15%
• 2.35%
• 2.25%

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CCSS.HSS.ID.A.4

1.  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.

In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 95% of molds filled by this machine will hold weights in what interval? 

• 1084 to 1216 pounds 
• 1106 to 1150 pounds 
• 1106 to 1194 pounds 
• 1128 to 1172 pounds

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CCSS.HSS.ID.A.4

Which interval shows 99.7% of the data given a mean of 15 and a standard deviation of 3? (empirical)

• 9 to 21
• 12 to 18
• 6 to 24
• 13 to 16

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CCSS.HSS.ID.A.4

Given: Mean = 10, standard deviation = 2.
What is the probability that the data will be between 4 and 16? 

• 68%
• 98%
• 99.7%
• 95%

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CCSS.HSS.ID.A.4

What percent of people are 3 standard deviations above the mean?

• .15

• 34

• 68

• 2.35

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CCSS.HSS.ID.A.4

What percent of people are 2 standard deviations or more above the mean?

• 2.35

• 34

• 68

• 2.5

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CCSS.HSS.ID.A.4

What shape is a normal distribution curve?

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