To formulate a frequency distribution table, follow these steps:
1. Collect your data: Gather the data you want to analyze. This could be a set of numbers, categories, or any other type of data.
2. Determine the number of classes: Decide how many classes or categories you want to divide your data into. The number of classes should be appropriate for the range and variability of your data.
3. Determine the class width: Calculate the class width by dividing the range of your data by the number of classes. Round up to the nearest whole number if necessary.
4. Create the classes: Start with the minimum value of your data and add the class width to create the upper limit of the first class. Continue adding the class width to create the upper limits of the remaining classes.
5. Count the frequencies: Count the number of data points that fall into each class. This is the frequency for each class.
6. Create the frequency distribution table: Create a table with two columns. In the first column, list the classes or categories. In the second column, list the frequencies for each class.
7. Calculate cumulative frequencies (optional): If desired, you can add a third column to the table to calculate the cumulative frequencies. The cumulative frequency for each class is the sum of the frequencies of that class and all previous classes.
8. Calculate relative frequencies (optional): To calculate the relative frequency for each class, divide the frequency of that class by the total number of data points. Multiply by 100 to express it as a percentage if desired.
9. Calculate cumulative relative frequencies (optional): If you have calculated relative frequencies, you can also calculate cumulative relative frequencies by adding up the relative frequencies for each class and all previous classes.
10. Format and label the table: Format the table neatly and clearly label the columns and rows. You may also want to include a title for the table.
Remember to choose appropriate class boundaries and ensure that each data point falls into only one class.