Representing Simple Frequency Distributions:

A frequency distribution is a table that displays the frequency of various outcomes in a sample. It is used to provide a summary of the data collected in a research study. In representing simple frequency distributions of a discrete variable, there are different graphical methods that can be used, including:

1. Histogram:

A histogram is a graph that displays the frequency distribution of a set of continuous data. It is a bar graph that shows the number of data points that fall in a range of values. The bars touch each other to show that the data is continuous. The height of each bar represents the frequency of data points within that range.

2. Frequency Polygon:

A frequency polygon is a graph that displays the frequency distribution of a set of continuous data. It is a line graph that shows the number of data points that fall in a range of values. The points on the line represent the midpoints of each range, and the height of each point represents the frequency of data points within that range.

3. Ogive:

An ogive is a graph that displays the cumulative frequency distribution of a set of data. It is a line graph that shows the cumulative frequency of data points up to a certain value. The points on the line represent the upper class limits, and the height of each point represents the cumulative frequency up to that limit.

Conclusion:

When representing simple frequency distributions of a discrete variable, the most useful graphical method is the frequency polygon. However, both the histogram and ogive can also be useful depending on the specific needs of the data being analyzed.