Common graphical representations of frequency distribution include several types of charts and graphs, each serving distinct purposes:

1. Histogram: This is a bar graph that represents the frequency distribution of continuous data. The bars are adjacent, indicating that the data is grouped into intervals. Histograms effectively show the shape and spread of the data, making it easy to identify patterns such as skewness or modality.
2. Bar Chart: Used primarily for categorical data, bar charts display rectangular bars with lengths proportional to the frequencies of each category. They can be oriented either vertically or horizontally and are useful for comparing different groups or categories.
3. Pie Chart: This circular graph represents the relative frequencies of categories as slices of a pie. Each slice's size corresponds to its proportion of the total dataset, making it easy to visualize parts of a whole.
4. Frequency Polygon: This graph is created by plotting points representing the midpoints of class intervals against their frequencies and connecting them with straight lines. Frequency polygons are particularly useful for comparing multiple distributions on the same graph.
5. Ogive (Cumulative Frequency Graph): An ogive displays cumulative frequencies, allowing for the visualization of how many observations fall below a particular value. It can be used to determine percentiles and is helpful in understanding data distribution over time.
6. Box and Whisker Plot: This plot summarizes data based on five-number summaries (minimum, first quartile, median, third quartile, maximum). It provides insights into the spread and skewness of the data while highlighting potential outliers