Percentiles and Normal Distribution Review

Below is a list of weights of 10 puppies, determine the percentile of a 5 pound puppy. 
2, 3, 3, 4, 4, 5, 5, 5, 6, 7

• 80th Percentile

• 70th Percentile

• 50th Percentile 

• 7th Percentile

Tests in Mr. Jones class have a mean score of 73 and standard deviation of 6 points. Mark scored a 68 on the test. What is his z-score?

• 0.83

• 5

• -0.83

• -5

The heights of adult women are approximately normally distributed about a mean of 65 inches with a standard deviation of 2 inches. If Bella is at the 87th percentile in height for adult women, then her height, in inches, is closest to

• 63

• 67

• 66

• 72

• 70

What percent of the data is between 80 and 92 on the normal curve?

At a high school, GPAs are normally distributed with a mean of 2.9 and standard deviation of 0.6. What GPA do you need to fall in the top 20%? The top 10%?

• 3.40 and 3.67

• 3.67 and 3.40

• 3.80 and 3.90

• 3.20 and 3.10

At a local high school, GPAs are normally distributed with a mean of 2.9 and standard deviation of 0.6. What is the z-score for the 80th percentile? What GPA falls at the 80th percentile?

• z= -0.84, A GPA of 3.40

• z= -0,84, A GPA of 0.8

• z= 0.84, A GPA of 3.80

• z= 0.84, A GPA of 3.40

SAT scores in New York are approximately Normally distributed with a mean of 1050 and a standard deviation of 55.

About 2.5% of all test scores are less than what score?

• 942

• 1050

• 885

• 992

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

If the mean of a data set is 18 and the standard deviation is 3. What original data value has a z-score of -1.2?

• 21.6

• 16.8

• 14.4

• 21

If x=12 has a z-score of 2.2 and the standard deviation is 3, what is the value of μ?

• 18.6

• 5.4

• 15

• 9