How to calculate ungrouped frequency distribution?

As a statistics tutor, here's my step-by-step approach to calculating ungrouped frequency distribution:1. List all unique values from your data set in ascending order2. Tally mark each occurrence of each value as you go through your data3. Count the tallies to get the frequency for each value4. Create a table with three columns: Value, Tally, FrequencyExample: For data [2, 3, 2, 4, 3, 2, 5, 4, 2]- Value 2: Tally ~~IIII~~ (Frequency 4)- Value 3: Tally II (Frequency 2) - Value 4: Tally II (Frequency 2)- Value 5: Tally I (Frequency 1)You can also add cumulative frequency and relative frequency columns for more analysis. This method works best for discrete data with limited unique values.

From my data analysis experience, here's a practical method:Step 1: Sort your raw data in ascending orderStep 2: Identify distinct values and list them in a columnStep 3: Use the COUNTIF function if working in Excel or Google SheetsStep 4: Create your frequency table with these components:- Data values (x)- Frequency (f) - count of each value- Cumulative frequency - running total of frequencies- Relative frequency - frequency ÷ total observationsThe key advantage of ungrouped frequency distribution is that it preserves the original data values unlike grouped distributions where data gets categorized into ranges. It's particularly useful for small datasets and discrete variables where you want to see exact value patterns without losing information through grouping.