AP Stats Collecting Data

Which of the following is an example of an experiment rather than an observational study?

• Analyzing past exam scores to determine the impact of study duration on performance.

• Randomly assigning students to study groups to test the effectiveness of collaborative learning.

• Observing the study habits of students who choose to study alone versus those who study in groups.

Answer explanation

The correct choice is 'Randomly assigning students to study groups to test the effectiveness of collaborative learning' because it involves manipulation of variables, characteristic of an experiment, unlike the other options which are observational.

Identify the Sample: The Huddle House wants to know if their customers buy dessert when they eat out. As people leave the restaurant one evening, 20 people are surveyed at random. Eight people say they usually order dessert when they eat out. The manager at Huddle House concluded that most customers do not order dessert. What is the SAMPLE in this scenario?

• 20 customers from Huddle House

• All customers from Huddle House that evening

• 8 customers from Huddle House

• The employees from Huddle House

Answer explanation

The sample in this scenario is the 20 customers from Huddle House who were surveyed. This group represents the customers' opinions on dessert orders, allowing the manager to draw conclusions about the larger customer base.

What is the median?

• 62

• 58

• 66

• 60

According to the 1.5 x IQR rule, how many outliers are there in the data set 72, 110, 114, 115, 118, 123, 144, 156?

• None

• One

• Two

• Three

The histogram shows the typical travel time to school (self-reported) for 50 high school students. Which of the following statements is true about the mean and median of this distribution?

• Mean > Median

• Mean < Median

• Mean = Median

• Mean ≈ Median

Sally was so excited after collecting her data that she slipped and fell in the mud! She can no longer read her data but she knows the median is 35.4 inches with a range of 12 inches. Sally also realizes that she needs to add 1 inch to all her measurements because of a faulty ruler, then convert everything to feet. What would her median and range be after making these adjustments?

• Median = 3.033 feet
  Range = 1.083 feet

• Median = 3.033 feet
  Range = 1 foot

• Median = 2.95 feet
  Range = 1.083 feet

• Median = 2.95 feet
  Range = 1 foot

• A

• B

• C

• D

• E

• A

• B

• C

• D

• E

What is the maximum value?

• 58

• 66

• 64

• 60