Exploring the Normal Curve in Algebra

This video tutorial introduces normal distributions, focusing on the bell curve and the 68-95-99.7 rule. It explains how standard deviations relate to data percentages and provides examples using pennies to illustrate mass distribution and probability estimation. The tutorial emphasizes understanding and memorizing key percentages for effective data analysis.

What is another name for the normal distribution curve?

• Linear curve

• Exponential curve

• Bell curve

• Skewed curve

What percentage of data falls within one standard deviation of the mean in a normal distribution?

• 68%

• 34%

• 95%

• 99.7%

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CCSS.HSS.ID.A.4

How much data is covered if you step one standard deviation to the right or left of the mean?

• 34%

• 68%

• 99.7%

• 95%

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CCSS.HSS.ID.A.4

If you step two standard deviations away from the mean, what percentage of the data is covered?

• 68%

• 95%

• 34%

• 99.7%

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CCSS.HSS.ID.A.4

What is the percentage of data that falls within three standard deviations of the mean?

• 34%

• 99.7%

• 95%

• 68%

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CCSS.HSS.ID.A.4

What is the total percentage of data that falls within two standard deviations of the mean?

• 34%

• 99.7%

• 95%

• 68%

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CCSS.HSS.ID.A.4

What is the mean value in the example problem involving pennies?

• 2.6 grams

• 2.7 grams

• 2.4 grams

• 2.5 grams

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CCSS.HSF-LE.A.1B

In the example problem, what is the standard deviation of the pennies' mass?

• 0.04

• 0.03

• 0.02

• 0.01

In the example problem, what is the range of mass for 95% of the pennies?

• 2.48 to 2.52 grams

• 2.50 to 2.60 grams

• 2.46 to 2.54 grams

• 2.44 to 2.56 grams

What is the probability that a randomly chosen penny has a mass greater than 2.54 grams?

• 95%

• 16%

• 34%

• 68%

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CCSS.HSS.ID.A.4