Normal Distributions Part 2 (after inv)

Women’s heights have a mean of 63.6 in. and a standard deviation of 2.5 inches.  A woman is in the 98th percentile.  How tall is the woman?

• 58.5 in
• 66.8 in
• 61.5 in
• 68.7in

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

• 100
• 25
• .5
• 1

Tags

CCSS.HSS.ID.A.4

The average number of calories in a 1.5-ounce chocolate bar is 225.  Suppose that the distribution of calories is approximately normal with a σ of 10.  Find the probability that a randomly selected chocolate bar will have between 200 and 220 calories. 

• 0.9876
• 0.3023
• 0.0098
• 0.3320

In a weightlifting competition, the amount that the competitors can lift is normally distributed with μ = 196 kg and σ = 11 kg. Only the top 10% of all competitors will be able to advance to the next phase of the competition. What amount must a competitor lift in order to move into the next phase of the competition?

• 206 kg
• 210 kg
• 182 kg
• 222 kg

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.  
If a male long jumper from State College jumps 265 inches, what percentile does he fall in?

• 56th
• 57th
• 67th
• 79th

Tags

CCSS.HSS.ID.A.4

The percentile represents the....

• percent of data values that are below.
• percent of data values that are above.
• number of data values that are below.
• number of data values that are below.

Fernando is 60 inches tall. The average height for his age and gender is 68 with a standard deviation of 10 inches. What percent of his peers are shorter than him?

• 46.81%
• 8%
• 78.81%
• 21.19%

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? 

• 81.85%
• 47.5%
• 68%
• 95%

Tags

CCSS.HSS.ID.A.4