Step-by-step explanation:
In statistics, categories refer to the different groups or classes into which data can be sorted. Categories can be nominal or ordinal, depending on whether they have a natural order or not. Nominal categories are unordered and can be named, such as colors, types of animals, or gender. Ordinal categories, on the other hand, have a natural order or ranking, such as levels of education or income.
Frequencies, on the other hand, refer to the number of times that each category occurs in a given dataset. In other words, frequencies tell us how many times each category appears in the data. Frequencies can be expressed as absolute frequencies, which are the raw counts of how many times each category appears, or as relative frequencies, which are the proportions of each category out of the total number of observations.
For example, if we have a dataset of the favorite colors of a group of people, the categories would be the different colors (e.g., red, blue, green, etc.), and the frequencies would be the number of people who chose each color. If we had 50 people in the dataset, and 10 people chose red, 20 people chose blue, and 5 people chose green, then the absolute frequencies would be 10, 20, and 5, respectively. The relative frequencies would be 0.2 (or 20%), 0.4 (or 40%), and 0.1 (or 10%), respectively.