Relative Frequency and Bivariate Data

This video tutorial covers grade 8 module 6 on linear functions, focusing on bivariate categorical data. It explains how univariate and bivariate categorical data are displayed in frequency tables and introduces the concept of relative frequency. The tutorial includes questions on bivariate data, calculating relative frequency, and analyzing a survey on school transportation methods.

What type of table is used to display bivariate categorical data?

• One-way frequency table

• Two-way frequency table

• Bar graph

• Pie chart

What is the formula for calculating relative frequency?

• Total number of observations minus frequency

• Frequency multiplied by the total number of observations

• Frequency divided by the total number of observations

• Total number of observations divided by frequency

Which of the following is NOT a type of relative frequency discussed?

• Cell relative frequency

• Row relative frequency

• Column relative frequency

• Graph relative frequency

What does bivariate categorical data consist of?

• Data on one variable that is categorical

• Data on one variable that is numerical

• Data on two variables that are both categorical

• Data on two variables that are numerical

What is another term for relative frequency?

• Fraction

• Ratio

• Percentage

• Proportion

How is the relative frequency of a cell calculated in a two-way table?

• By dividing the cell frequency by the total number of cells

• By dividing the cell frequency by the row total

• By dividing the cell frequency by the column total

• By dividing the cell frequency by the total number of observations

In the context of school transportation, what does a relative frequency of 33.3% for carpooling indicate?

• 33.3% of students ride the bus

• 33.3% of students walk to school

• 33.3% of students use a carpool to get to school

• 33.3% of students drive alone

What is the proportion of students who are female and walk to school?

• 0.1 or 10%

• 0.33 or 33%

• 0.069 or 6.9%

• 0.5 or 50%

If a student is selected at random, which mode of transportation is most likely based on the survey?

• Walking

• Driving alone

• Carpooling

• Riding the bus

What is the significance of calculating relative frequencies in a two-way table?

• It helps to identify the most common category

• It simplifies the data into a single number

• It provides a visual representation of data

• It allows comparison between different categories