## Marginal relative frequency

### Marginal relative frequency refers to the proportion or percentage of a specific category in a contingency table relative to the total number of observations in that row or column

Marginal relative frequency refers to the proportion or percentage of a specific category in a contingency table relative to the total number of observations in that row or column. It is calculated by dividing the total frequency of a particular category by the grand total of all categories in the row or column.

Let’s consider an example to understand this better. Imagine we have a contingency table that shows the distribution of students’ favorite subjects based on their grade levels:

| Grade 9 | Grade 10 | Grade 11 | Grade 12 | Total

——–|———|———-|———-|———-|——-

Math | 20 | 30 | 15 | 25 | 90

Science | 15 | 25 | 20 | 30 | 90

English | 10 | 20 | 20 | 15 | 65

Total | 45 | 75 | 55 | 70 | 245

To calculate the marginal relative frequency of Math in each grade level, we divide the frequency of Math in each grade by the total frequency in that grade level. For example, the marginal relative frequency of Math in Grade 9 would be:

Marginal relative frequency of Math in Grade 9 = 20 (frequency of Math in Grade 9) / 45 (total frequency in Grade 9) = 0.444 or 44.4%

Similarly, we can calculate the marginal relative frequencies for the other grade levels:

Marginal relative frequency of Math in Grade 10 = 30 / 75 = 0.4 or 40%

Marginal relative frequency of Math in Grade 11 = 15 / 55 = 0.273 or 27.3%

Marginal relative frequency of Math in Grade 12 = 25 / 70 = 0.357 or 35.7%

These marginal relative frequencies help us understand the distribution of students’ favorite subject (Math) within each grade level.

##### More Answers:

Analyzing Probabilities of Sample Means | Increasing Sample Size and the Normal DistributionUnderstanding Conditional Relative Frequency | A Key Concept in Probability and Statistics

Understanding Joint Relative Frequency | Analyzing the Relationship Between Two Variables Using Statistical Measures