Normal Distribution

1.  Which best describes the shaded part of this normal distribution graph?  

• All data that is one or higher.
• All data that is one or more standard deviations above the mean.
• All data that is between 1 and 3.
• All data that is above the mean.

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.  
What percentage of male long jumpers from State College can jump longer than 270 inches?

• 18.88%

• 30.85%

• 80.35%

• 35.85%

Tags

CCSS.HSS.ID.A.4

The average weight of a newborn is 7.5 pounds, with a standard deviation of 1.25 pounds. Birth weight follows the standard normal curve. What percent of newborns weigh 5 pounds or less at birth?

• 2.35%

• 0.15%

• 2.5%

• 50%

Tags

CCSS.HSS.ID.A.4

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5.  What percentage of weeks would you expect to have less than 5 accidents?

• 69.15%

• 17.53%

• 82.38%

• 93%

Tags

CCSS.HSS.ID.A.4

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%

Tags

CCSS.HSS.ID.A.4

For a randomly selected subject in a standard normal distribution (mean is 0 and standard deviation is 1), find the percentage of scores are between 1.37 and 2.42.

• 7.8%

• 78.5%

• 22.3%

• 2.3%

Tags

CCSS.HSS.ID.A.4

Red blood cell counts of women are normally distributed with a mean of 4.577 and a standard deviation of 0.382.  Find the percentage of women that have a red blood cell count above 5.4.

• 15%

• 1.56%

• 21.5%

• 2.37%

Tags

CCSS.HSS.ID.A.4

Red blood cell counts of women are normally distributed with a mean of 4.577 and a standard deviation of 0.382.  What percentage of women have red blood cell counts in the normal range from 4.2 to 5.4?

• 82.3%
• 77.8%
• 72.6%
• 68%

Tags

CCSS.HSS.ID.A.4

The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds.  What is the z-score for a player who runs a time of 5.6 seconds?

• -1.33
• 1.33
• 0.88
• 1.02

Tags

CCSS.HSS.ID.A.4