It seems like your question is a bit unclear, but I'll try to interpret it and provide you with a step-by-step guide on how to create a frequency distribution table and a histogram for a dataset. Please correct me if I misunderstood your question.
**Step 1: Data Collection**
Let's assume your dataset is: 19, 3, 2.
**Step 2: Frequency Distribution Table**
Construct a frequency distribution table to show the count of each unique value in the dataset.
| Value | Frequency |
|-------|-----------|
| 2 | 1 |
| 3 | 1 |
| 19 | 1 |
**Step 3: Excel for Frequency Distribution**
You can also use Excel to create a frequency distribution. Enter your data in one column and use the following formulas in adjacent columns:
- In column B, write your unique values (2, 3, 19).
- In column C, use the formula `=COUNTIF(A:A, B1)` where column A contains your data. Drag this formula down for all unique values.
**Step 4: Creating a Histogram**
A histogram is a graphical representation of the frequency distribution. You can create it by following these steps:
1. On Excel:
- In column D, write your lower class limits (e.g., 1, 10, 20).
- In column E, write your upper class limits (e.g., 10, 20, 30).
- In column F, write your frequency counts.
- In column G, calculate the midpoints (average of lower and upper class limits).
- In column H, calculate the relative frequency (frequency divided by total count).
2. Manually:
- Decide on a suitable number of bins (class intervals) based on your data range. For example, you might choose bins like 1-10, 11-20, etc.
- Plot a horizontal axis with these bins and a vertical axis for frequency or relative frequency.
- For each bin, draw a rectangle with the height corresponding to the frequency/relative frequency.
**Step 5: Polygon or Line Graph**
A polygon (line graph) can be created using midpoints and frequencies (or relative frequencies). This graph connects the midpoints of each class interval.
**Step 6: Histogram in Excel**
1. Select the data in columns G (midpoints) and F (frequency).
2. Go to the 'Insert' tab and click on 'Histogram.'
3. Adjust the chart settings as needed.
Remember, Excel offers various charting options, so you might need to adjust settings based on your preferences and data.
Note: I can't create visuals directly here, but these are the steps you can follow to manually draw the histogram and to use Excel for the frequency distribution and histogram.