Description: Observed frequencies are the actual counts of occurrences of events in a dataset. This concept is fundamental in statistics, as it allows researchers and analysts to quantify how many times a particular event or category appears within a set of observations. Observed frequencies are used to construct frequency tables, which are organized representations of data showing the distribution of occurrences. These frequencies can be absolute, indicating the total number of times an event occurs, or relative, showing the proportion of occurrences in relation to the total observations. The interpretation of observed frequencies is crucial for data analysis, as it provides a basis for making statistical inferences, identifying patterns and trends, and making informed decisions. Additionally, observed frequencies are essential in creating statistical graphs, such as histograms and bar charts, which visualize the distribution of data clearly and understandably. In summary, observed frequencies are a key component in statistical analysis, allowing researchers to better understand the phenomena they are studying and facilitating the communication of results.