Normal Distributions: Finding Values (5.3)

The mean GPA of students at S.C. State University is 3.2 with a standard deviation of 0.3. The middle 80% of the students have a GPA between ______ and ______. 

• 2.8155 and 3.5845

• 2.9 and 3.5

• 0.000 and 4.000

• 3.124 and 3.276

The scoring of modern IQ is such that Intelligence Quotients (IQs) have a normal distribution of μ= 100 and 𝞂 = 15.

Mensa International is a non-profit organization that accepts only people with IQ score within the top 2%. What level of IQ qualifies one to be a member of Mensa?

• 69.2

• 130.8

• 99.6

• 100

Tags

CCSS.HSS.ID.A.4

The distances male long jumpers for Coastal Carolina University jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.  
Suppose a male long jumper's jump ranked in the 75th percentile.  How long was his jump?

• 0.67 inch
• 263 inches
• 272.44 inches
• 277.25 inches

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

• 100
• 25
• .5
• 1

Tags

CCSS.HSS.ID.A.4

The distribution of heights of adult American men is approximately Normal with mean 69 inches and standard deviation 2.5 inches. Between what heights do the middle 95% of men fall? 

• 66.5-71.5
• 64-74
• 61.5-76.5
• 65-73

Tags

CCSS.HSS.ID.A.4