Empirical Rule and Outliers

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

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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

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?

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• 68%

• 99.7%

• 95%

• 84%

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

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About what percent of the products last between 12 and 15 days?

• 68%

• 34%

• 16%

• 2.5%

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CCSS.HSS.ID.A.4

A data set contains only one outlier. Which statistical measure will most likely remain the same if the outlier is removed?

• Mean
• Mode
• Range
• Standard deviation

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CCSS.HSS.ID.A.3

What shape is a normal distribution curve?

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

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CCSS.HSS.ID.A.2

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, how much of the data falls within 3 standard deviations? 

• 25%
• 68%
• 95%
• 99.7%

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CCSS.HSS.ID.A.4

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.

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Find the proportion of golfers that are between 30 and 46 years old.

• 68%

• 94%

• 95%

• 99.7%

68% of the data lies within:

• 3 Standard Deviations of the Mean

• 2 Standard Deviations of the Mean

• 1 Standard Deviation of the Mean

95% of the data lies within:

• 3 Standard Deviations of the Mean

• 2 Standard Deviations of the Mean

• 1 Standard Deviation of the Mean