Exploring Two-Way Tables and Relative Frequencies

The video tutorial explains two-way tables, focusing on joint and marginal relative frequencies. It begins with an introduction to two-way tables, followed by detailed steps to calculate joint and marginal relative frequencies using examples. The importance of these frequencies is highlighted, showing how they allow for comparisons and interpretations of data. The video concludes with a historical comparison of ballpark data from 1985, 2000, and 2020, illustrating trends in ballpark features over time.

What is the first step in calculating joint relative frequencies?

• Adding the rows and columns

• Dividing each joint frequency by the total

• Multiplying the frequencies

• Subtracting the marginal frequencies

What does a joint relative frequency represent?

• The difference between two frequencies

• The division of one frequency by the total

• The sum of all frequencies

• The product of two frequencies

What should you pay attention to when rounding numbers?

• The nearest hundredth

• Always round down

• The specified rounding instruction

• Always round up

How do you calculate marginal relative frequencies?

• Divide each frequency by the total

• Subtract the joint frequencies from the total

• Add the frequencies of rows and columns

• Multiply the joint frequencies

What is the significance of the total row and column adding up to 1?

• It confirms correct calculation

• It indicates an error in calculation

• It shows the table is incomplete

• It has no significance

Why are marginal relative frequencies important?

• They replace joint frequencies

• They help in understanding the distribution across categories

• They show the total frequencies only

• They are not important

What was the percentage of open-air ballparks in 1985?

• 73.3%

• 76.7%

• 88.5%

• 61.5%

What trend was observed in the percentage of grass fields from 1985 to 2020?

• It showed no clear trend

• It increased significantly

• It remained constant

• It decreased significantly

What was the first stadium with a retractable roof?

• Wrigley Field in Chicago

• Yankee Stadium in New York

• Fenway Park in Boston

• SkyDome in Toronto

How has the use of retractable roofs changed from 1985 to 2020?

• It has remained the same

• It has increased

• It has decreased

• It was not present in 1985