Frequency Polygon and Histogram

Data:

• 10, 15, 20, 25, 30, 35, 40, 45, 50, 55
• Frequency: 2, 5, 8, 12, 10, 6, 4, 2, 1, 2

Frequency Polygon:
Frequency polygon is a graph that displays the data using lines. To create a frequency polygon, plot the midpoints of each class interval on the x-axis and the corresponding frequencies on the y-axis. Then, connect the points with straight lines to form the polygon.

Histogram:
Histogram is a visual representation of the distribution of numerical data. To create a histogram, first, draw a horizontal axis representing the data values and a vertical axis representing the frequencies. Then, draw rectangles for each class interval, with the height of each rectangle corresponding to the frequency of that interval.

Key Steps:

• Calculate the midpoints of each class interval
• Plot the midpoints on the x-axis and frequencies on the y-axis for the frequency polygon
• Draw rectangles for each class interval with heights corresponding to frequencies for the histogram
• Label the axes and title the graphs for clarity

Conclusion:
Creating a frequency polygon and histogram helps in visually representing the distribution of data and identifying patterns or trends within the dataset. It provides a clear and concise way to analyze the frequency of different values and understand the data better.