Two Way Tables and 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.

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How do you calculate relative frequency?

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

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What does a relative frequency of 20% indicate?

Back

It indicates that the event occurred 20 times for every 100 observations.

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If 30% of girls have blonde hair, what does this mean in terms of relative frequency?

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It means that out of all the girls surveyed, 30% have blonde hair, indicating the proportion of girls with that hair color.

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What is the significance of a two-way table in statistics?

Back

It helps in understanding the relationship between two categorical variables and can reveal patterns or trends in the data.

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What does it mean if 15% of people purchased no food?

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It means that out of all surveyed individuals, 15% did not buy any food, indicating a specific behavior in the group.

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How can you interpret a relative frequency of 65% for males driving sports cars?

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It indicates that 65 out of every 100 males surveyed drive sports cars, showing a strong preference for this type of vehicle.

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What does it mean if the forecast called for rain and it actually rained 90% of the time?

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It means that when rain was predicted, it actually occurred 90 times out of 100, indicating high accuracy in the forecast.

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What is the purpose of using percentages in relative frequency?

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Percentages provide a clear and standardized way to compare the frequency of different events or categories.