AP Statistics Unit 2 Review

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

Consumers Union measured the gas mileage in miles per gallon of 38 vehicles from the same model year on a special test track. The pie chart provides information about the country of manufacture of the model cars tested by Consumers Union. Based on the pie chart, we conclude that

• Japanese cars get significantly lower gas mileage than cars from other countries
• U.S. cars get significantly higher gas mileage than cars from other countries
• cars from France have the lowest gas mileage
• more than half of the cars in the study were from the United States

Earthquake intensities are measured using a device called a seismograph, which is designed to be most sensitive to earthquakes with intensities between 4.0 and 9.0 on the Richter scale. Measurements of nine earthquakes give the following readings:
4.5  L  5.5  H  8.7  8.9  6.0  H  5.2
where L indicates that the earthquake had an intensity below 4.0 and H indicates that the earthquake had an intensity above 9.0. The median earthquake intensity of the sample is

• 5.75
• 6.00
• 8.70
• Cannot be determined

In a statistics class with 136 students, the professor records how much each student has in his/her pocket. The histogram shows the data collected.
The percentage of students with less than $10 in their possession is closest to

• 30%
• 35%
• 45%
• 60%

Which of the following statements about this distribution is not correct?

• The histogram is right-skewed
• The median is less than $20
• The IQR is $35
• The mean is greater than the median

Forty students took a statistics examination having a maximum of 50 points. The score distribution is given in the stem-and-leaf plot.
The third quartile of the score distribution is equal to

• 45
• 44
• 43
• 32

The mean salary of all female workers is $35,000. The mean salary of all male works is $41,000. What must be true about the mean salary of all workers?

• It must be $38,000
• It must be larger than the median salary
• It could be any number between $35,000 and $41,000
• It cannot be larger than $40,000

A survey was designed to study how business operations vary according to their size. Companies are classified as small, medium or large. Questionnaires were sent to 200 randomly selected businesses of each size. Because not all were returned, researchers decided to investigate the relationship between response rate and size of business.
What percent of all small companies receiving questionnaires responded?

• 33.3%
• 62.5%
• 20.8%
• 50.8%