Points to Remember:

  • Frequency tables organize data to show how often different values occur.
  • The table will have columns for the marks (data values) and the frequency (how many students received each mark).
  • The process involves counting the occurrences of each mark.

Introduction:

A frequency table is a fundamental tool in descriptive statistics used to summarize and organize data. It displays the number of times each distinct value (in this case, marks obtained in a Mathematics exam) appears in a dataset. Creating a frequency table allows for a quick and easy visualization of the distribution of marks, helping to identify patterns and trends in student performance. Without knowing the specific marks obtained by the students, a hypothetical example will be used to demonstrate the process.

Body:

Creating a Frequency Table:

Let's assume the following marks (out of 100) were obtained by students in a Mathematics exam: 85, 70, 92, 85, 75, 60, 80, 92, 70, 85, 75, 90, 80, 70, 65.

To create a frequency table, we follow these steps:

  1. Identify the range of marks: The lowest mark is 60, and the highest is 92.

  2. Determine the class intervals (optional): For a larger dataset, grouping marks into intervals (e.g., 60-69, 70-79, etc.) might be necessary. For this small dataset, we'll list each unique mark individually.

  3. Count the frequency of each mark: We count how many times each mark appears in the dataset.

  4. Construct the table: The frequency table will look like this:

| Marks | Frequency | |---|---| | 60 | 1 | | 65 | 1 | | 70 | 3 | | 75 | 2 | | 80 | 2 | | 85 | 3 | | 90 | 1 | | 92 | 2 |

Analysis of the Frequency Table:

This table shows that the most frequent marks are 70 and 85, each obtained by 3 students. The least frequent marks are 60, 65, and 90, each obtained by only 1 student. This provides a clear picture of the distribution of marks. Further analysis could involve calculating the mean, median, and mode to gain a more comprehensive understanding of the students' performance.

Conclusion:

Frequency tables are essential tools for organizing and summarizing data, providing a clear and concise representation of the distribution of values. In this example, the frequency table effectively displays the distribution of mathematics marks, highlighting the most and least frequent scores. This information can be used by educators to understand student performance, identify areas needing improvement, and tailor teaching strategies accordingly. Further statistical analysis, such as calculating measures of central tendency and dispersion, can provide a more in-depth understanding of the data. Ultimately, the goal is to use this data to improve student learning outcomes and promote holistic educational development.