Normal Distribution and Empirical Rule

Identify the mean of the normal distribution.

(a)  

Identify the standard deviation of the normal distribution.

(a)  

What shape is a normal distribution curve?

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

The normal curve is symmetrical about the mean.

• True
• False

What is the the total area under the standard normal distribution curve?

• 100

• 25

• .5

• 1

According to the 68-95-99.7 rule, what percentage of data falls within one standard deviation of the mean in a normal distribution?

• 50%

• 68%

• 75%

• 90%

In a normal distribution, what percentage of data falls within two standard deviations of the mean according to the 68-95-99.7 rule?

• 50%

• 95%

• 99.7%

• 68%

What is the symbol used to represent the mean in statistics?

• μ

• x

• σ

• n

In a normal distribution, what percentage of data falls within three standard deviations of the mean according to the 68-95-99.7 rule?

• 68%

• 95%

• 50%

• 99.7%

What is the symbol used to represent the standard deviation in statistics?

• μ

• x

• σ

• n