Relative Frequency Tables SUMMARIZE CATEGORICAL DATA Here is

Relative Frequency Tables SUMMARIZE CATEGORICAL DATA

Here is a marginal frequency table we will use as an example for calculations

Relative Frequency: Relative Frequency Distribution: Shows the ratio or percent of occurrences compared to the grand total number of occurrences (also called Joint Relative Frequency) Calculate Joint Relative Frequency by dividing each cell total by the grand total of things surveyed. Joint Relative Frequency Table Set up fraction and divide Cell total Grand total Usually represented as a percent

Marginal Relative Frequency: Marginal Relative Frequency Distribution: Also includes the ratio of total occurrences for each category to the grand total number of occurrences Ø It’s the same as a relative frequency table but also includes the same idea for the row totals and column totals Calculate Marginal Relative Frequency by dividing each cell total (which in this Marginal Relative Frequency Table case will be the row total or column total) by the grand total Set up fraction and divide Cell total Grand total Usually represented as a percent

Joint Relative Frequencies Example Joint Relative Frequency will allow you to answer the question, “What percent of all the people surveyed were women who like Wonder Woman? ” The marginal frequencies answer these types of questions: What percent of the people surveyed were female? What percent of the people surveyed liked Superman? What percent of the people surveyed like Batman? It provides analysis of a result against all things surveyed 12. 5% 20% 17. 5% 31% 11. 5% 7. 5% 43. 5% 31. 5% 25% 50% 100% Ø Calculate the relative frequency of males who like wonder woman. Divide male votes for Wonder Woman by the grand total. 25/200 = 0. 125 or 12. 5% What is the probability that a person picked at random from this group will be a female that likes Wonder Woman? 31% What is the probability that a person picked at random from this group will be a male who likes Superman? 17. 5%