InvNorm Practice

In a survey of men in the United States (ages 20-29), the mean height was 69.6 inches with a standard deviation of 3.0 inches. Find the minimum height in the top 22%.

• 69.37 in 
• 67.58 in 
• 73.12 in 

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CCSS.HSS.ID.A.4

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?

• 115
• 130.75
• 145
• 120

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CCSS.HSS.ID.A.4

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.  
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

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CCSS.HSS.ID.A.4

What is the z-score value that corresponds to the 30th percentile?

• -1.02
• -.52
• .52
• 1.02

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CCSS.HSS.ID.A.4

Suppose that 10th grade girls have hair lengths that are normally distributed with a mean of 10 inches and a standard deviation of 4 inches. How long would a 10th grade girl's hair have to be in order to be at the 80th percentile for length?

• 13.4 inches
• 6.6 inches
• 4.4 inches
• 14.7 inches

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CCSS.HSS.ID.A.4

Professional golfer John Daly is known for his long drives off the tee. Suppose his drives have a mean distance of 315 yards with a standard deviation of 12 yards. What lengths of drives will constitute the middle 60% of all of his drives?

• 303 yards to 327 yards
• 0 to 318 yards
• 312 yards to 318 yards
• 305 to 325 yards

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CCSS.HSS.ID.A.4

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

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CCSS.HSS.ID.A.4

The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees.  How warm would it have to be in order to be in the warmest 15% of days?  

• 26.5 degrees
• 18.6 degrees
• 27.4 degrees
• 55.96 degrees

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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.

The area under a normal curve is...

• two
• one
• zero
• z-score

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CCSS.HSS.ID.A.4