The normal distribution

What shape is a normal distribution curve?

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

Use the following information and the Empirical Rule to estimate the answer.

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

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

• 68%

• 94%

• 95%

• 99.7%

The mean GPA of students in a course at UCDavis is 3.2 with a standard deviation of 0.3. What percent of students in the course have a GPA between  2.9 and 3.8? 

• 81.5%
• 47.5%
• 68%
• 95%

Given a mean of 75 and a standard deviation of 7, what percentage of scores are above 82?

• 34%

• 81.5%

• 16%

• 2.5%

This data is normally distributed. What percent of the data is in the shaded region?

• 68%

• 32%

• 16%

• 50%

What is the area under the curve between z = 0 and z = 1.45?

• .9265
• .4265
• .4500
• .5000

What is the total area under the curve?

• 1
• .9998
• .997
• -3 < z < 3