AP Statistics Unit Review

A slice of pizza from a certain restaurant has an average area of 40 square inches with a standard deviation of  5 square inches.  Assuming the distribution of areas is approximately normal, what proportion of slices will be between 35 and 50 square inches

• 68%
• 34%
• 81.5%
• 95%

Given is the number of miles traveled to work for 28 people. Which is the closest to the percentile rank of the person who traveled 69 miles? 

• 5th
• 18th 
• 82nd
• 10th

Until the scale was changed in 1995, SAT scores were based on a scale set many years ago.  For math scores, the mean under the old scale in the 1990’s was 470 and the standard deviation was 110.  In 2009, the mean was 515 and the standard deviation was 116.  

 What is the standardized score (z-score) for a student who scored 530 on the old SAT scale? 

• 0.55
• -0.55
• 525.73
• 0.13

The proportion of observations from a standard normal distribution that take values larger than 0.75 is about

• 0.2266
• 0.2500
• 0.7704
• 0.8023

High school textbooks don't last forever. The lifespan of all high school statistics textbooks is approximately Normally distributed with a mean of 9 years and a standard deviation of 2.5 years.  What percentage of books last more than 10 years? 

• 11.5%
• 34.5% 
• 65.5%
• 69%

A medical researcher collects health data on many women in each of several countries.  One of the variables measured for each woman in the study is her weight in pounds.  The following list gives the five-number summary for the weights of women in one of the countries.   
Country A:  100, 125, 130, 165, 205 
 About what percent of Country A women weigh between 125 and 205 pounds? 

• 25%
• 50%
• 75%
• 80%

The five number summary for a one-variable dataset is {5, 28, 29, 42, 75}. If you wanted to construct a modified boxplot for the dataset (that is, one that would show outliers if there are any), what would be the maximum possible length of the right side “whisker”?

• 21
• 42
• 33
• 14

How would you describe this graph? 

• Symmetric
• Skewed Right
• Skewed Left
• Bimodal