Exploring Two-Way Relative Frequency Tables

The video tutorial explains how to interpret and complete a two-way frequency table using vehicle accident data. It covers the calculation of column relative frequencies, rounding results to the nearest hundredth, and understanding the implications of these frequencies. The tutorial uses examples of SUVs and sports cars to illustrate the process, emphasizing the importance of accurate data interpretation.

What does a two-way frequency table display?

• Data on one variable over time

• Comparisons between two groups

• Data on two categorical variables

• Predictions based on past data

What is the purpose of calculating column relative frequencies in a two-way frequency table?

• To predict future trends

• To find the total number of observations

• To compare data across different rows

• To understand the proportion of each category within columns

What is the total number of vehicles involved in the study?

• 139

• 125

• None of the above

• 264

How do you calculate the column relative frequency for accidents in SUVs?

• Divide the number of accidents in SUVs by total accidents in SUVs and sports cars

• Divide the number of accidents in SUVs by total vehicles

• Divide the number of accidents in SUVs by total SUVs

• Divide the number of SUVs by total accidents

What was the relative frequency of accidents in sports cars?

• 0.22

• 0.25

• 0.75

• 0.78

How is the relative frequency of no accidents in sports cars calculated?

• 97 divided by 125

• 35 divided by 139

• 104 divided by 139

• 104 divided by 125

What percentage of SUVs had no accidents last year?

• 75%

• 25%

• 78%

• 22%

What does a relative frequency of 0.78 indicate in this context?

• 78% of sports cars had accidents

• 78% of SUVs had no accidents

• 22% of vehicles had accidents

• 25% of sports cars had no accidents

Which vehicle type had a higher percentage of accidents last year?

• Both had the same percentage

• The data does not specify

• SUVs

• Sports cars

What is the significance of the numbers 0.22 and 0.78 in the context of SUVs?

• 22% had no accidents, 78% had accidents

• They represent the total number of SUVs

• 22% had accidents, 78% had no accidents

• They indicate future predictions of accidents