Empirical Rule

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 99.7% 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

The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.

•  28,000 km and 32,000 km.
• 24,000 km and 34,000 km.
• 26,000 km and 34,000 km.
• 27,000 km and 31,000 km.

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CCSS.HSS.ID.A.4

Which interval shows 95% of the data given a mean of 15 and a standard deviation of 3? 

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

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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

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CCSS.HSS.ID.A.4

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

• 99.7

• 34

• 68

• 95

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CCSS.HSS.ID.A.4

What percent of people within 1 standard deviation of the mean?

• 99.7

• 34

• 68

• 95

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CCSS.HSS.ID.A.4

What percentage of the data is between 1 and 2 standard deviations

• 34%

• 50%

• 2.35%

• 13.5%

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CCSS.HSS.ID.A.4

What percentage of the data is between 1 and 2 standard deviations

• 34%

• 50%

• 2.35%

• 13.5%

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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 shape is a normal distribution curve?

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

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CCSS.HSS.ID.A.3