Two-Way Tables & Relative Frequency

Front

What is a two-way table?

Back

A two-way table is a statistical table that displays the frequency distribution of two categorical variables, allowing for the analysis of the relationship between them.

Front

What is relative frequency?

Back

Relative frequency is the ratio of the number of times an event occurs to the total number of trials or observations, often expressed as a percentage.

Front

How do you calculate relative frequency?

Back

Relative frequency = (Frequency of the event) / (Total frequency) * 100%.

Front

What does it mean if the relative frequency of an event is 0.11?

Back

It means that the event occurs 11% of the time in the given data set.

Front

What is the purpose of using two-way tables in statistics?

Back

Two-way tables help to summarize and analyze the relationship between two categorical variables, making it easier to identify patterns and trends.

Front

If 40 out of 200 surveyed people like chocolate, what is the relative frequency of people who like chocolate?

Back

Relative frequency = 40/200 = 0.20 or 20%.

Front

What conclusion can be drawn from a two-way table showing more girls in band than boys?

Back

It indicates that a higher proportion of band members are girls compared to boys.

Front

What is the significance of percentages in two-way tables?

Back

Percentages help to understand the proportion of each category relative to the total, making comparisons easier.

Front

If 65% of males drive sports cars, what does this indicate?

Back

It indicates that a significant majority of male drivers prefer sports cars compared to other types of vehicles.

Front

How can you interpret a relative frequency of 86.5% for women driving SUVs?

Back

It indicates that a large majority of SUV drivers are women, suggesting a trend in vehicle preference.