Final answer:
Bivariate data involve b. two variables and show the relationship between them. They can be represented in two-way frequency tables with marginal frequencies and visualized with scatter plots to assess correlation.
Step-by-step explanation:
Bivariate data are data that show the relationship between two variables; paired data.
In the field of statistics, multivariate data refers to data that involve many variables. However, when we speak specifically of this type (two variable data), we refer to them as bivariate data. Paired data sets have a one-to-one relationship so that each data point in one set corresponds exactly to one data point in another set, making both data sets the same size.
When we analyze bivariate data, we might construct a two-way frequency table. The entries in the total row and the total column of such a table represent marginal frequencies or marginal distributions. Marginal distributions illustrate the frequencies of individual variables and require bivariate data for their calculation. These distributions can be represented as fractions or decimals.
Analysts often use scatter plots to visualize the correlation between two variables. The correlation can be positive, negative, or yield zero correlation, reflecting the nature of the association between the variables.