A frequency polygon is a graphical representation used in statistics to visualize the distribution of data. It is particularly useful for displaying the frequency distribution of a continuous variable, where data points are grouped into intervals or bins. Here’s a short note on the frequency polygon:

**Creating a Frequency Polygon:**

**Data Collection:**Collect data on the variable of interest, such as test scores, reaction times, or survey responses.**Data Binning:**Divide the range of the data into intervals or bins. The number and width of bins can vary depending on the data and the desired level of detail.**Frequency Count:**Count the number of data points that fall into each bin.**Midpoint Calculation:**Calculate the midpoint of each bin. The midpoint represents the center of each interval and is used for plotting.**Plotting:**On a graph, place the midpoints on the x-axis and the corresponding frequencies (counts) on the y-axis. Connect these points with straight line segments.

**Interpreting a Frequency Polygon:**

**Shape:**The shape of the frequency polygon provides insights into the distribution of the data. It can reveal whether the data follows a normal distribution, is skewed, or exhibits other patterns.**Central Tendency:**The central tendency of the data can be observed by looking at where the frequency polygon reaches its highest point (peak). This represents the mode of the distribution.**Dispersion:**The spread or variability of the data is reflected in the width of the frequency polygon. A wider distribution suggests greater variability, while a narrower distribution indicates less variability.**Outliers:**Outliers (extreme values) can be identified if they cause a noticeable deviation from the overall pattern of the frequency polygon.

Here’s a simple example of a frequency polygon:

*In this Frequency Polygon graph – *

*On the X-axis, you can represent the years (2018, 2019, 2020, 2021, 2022), and on the Y-axis, you can represent the percentage values. Each city tier (Tier 1, Tier 2, and Tier 3) can have a different color for clarity in your Frequency Polygon graph.*

Frequency polygons are valuable tools for summarizing and visualizing data distributions, allowing researchers and analysts to quickly grasp the key features of a dataset and make initial observations about the underlying patterns and characteristics of the data.