Histogram and Frequency Polygon to Represent Runs Scored by Winning Team in Final Match in Different Overs

The Indian Premier League (IPL) is a professional Twenty20 cricket league in India. In this league, different teams compete against each other to score the highest runs and win the match. In the final match of IPL 2023, the winning team scored runs in different overs. We can represent these runs using a histogram and frequency polygon.

Definition of Histogram and Frequency Polygon

Before we move on to creating the histogram and frequency polygon, let's understand what they are. A histogram is a graphical representation of data that shows the frequency of a particular variable. It is a bar chart that shows the distribution of data over a range of values. On the other hand, a frequency polygon is a graphical representation of data that shows the cumulative frequency of a particular variable. It is a line graph that connects the midpoints of each class interval.

Creating the Histogram

To create the histogram, we need to follow these steps:

1. Collect the data on the runs scored by the winning team in different overs.
2. Divide the data into class intervals. For example, we can take class intervals as 0-2, 2-4, 4-6, 6-8, and so on.
3. Count the number of runs scored in each class interval.
4. Draw a horizontal X-axis to represent the class intervals and a vertical Y-axis to represent the frequency of runs scored.
5. Draw a rectangle for each class interval with the height equal to the frequency of runs scored in that interval.

Creating the Frequency Polygon

To create the frequency polygon, we need to follow these steps:

1. Collect the data on the runs scored by the winning team in different overs.
2. Divide the data into class intervals. For example, we can take class intervals as 0-2, 2-4, 4-6, 6-8, and so on.
3. Count the number of runs scored in each class interval.
4. Draw a horizontal X-axis to represent the class intervals and a vertical Y-axis to represent the cumulative frequency of runs scored.
5. Plot the midpoints of each class interval on the X-axis and the corresponding cumulative frequency on the Y-axis.
6. Connect the midpoints with straight lines to form the frequency polygon.

Interpreting the Histogram and Frequency Polygon

The histogram and frequency polygon of runs scored by the winning team in the final match of IPL 2023 will show us the distribution of runs over different overs. We can interpret the histogram and frequency polygon in the following ways:

1. The histogram will give us an idea of the number of runs scored in each class interval. We can see which class interval had the highest frequency of runs scored.
2. The frequency polygon will show us the cumulative frequency of runs scored. We can see how the runs scored increased over different overs.
3. We can analyze the data further to see if there were any trends or patterns in the runs scored by the winning team.

Conclusion

In conclusion, the histogram and frequency polygon are useful tools to represent data in a graphical form. They help us to understand the distribution of data and analyze it more easily. In the case of the runs scored by the winning team in the final match of IPL 2023, we can use the histogram and frequency polygon to gain insights into the data and draw conclusions about the performance of the team.