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To create a "less than" cumulative frequency distribution graphically, we need to first construct the cumulative frequency table. The data provided shows the distribution of weekly wages and the number of workers. Here's how we can approach it:

### Step 1: Tabulate the cumulative frequency

| Weekly Wages (Rs) | No. of Workers | Cumulative Frequency (Less Than) |
|-------------------|----------------|----------------------------------|
| 40 - 45           | 5              | 5                                |
| 45 - 50           | 9              | 5 + 9 = 14                       |
| 50 - 55           | 15             | 14 + 15 = 29                     |
| 55 - 60           | 13             | 29 + 13 = 42                     |
| 60 - 65           | 11             | 42 + 11 = 53                     |
| 65 - 70           | 12             | 53 + 12 = 65                     |
| 70 - 75           | 5              | 65 + 5 = 70                      |

### Step 2: Plot the cumulative frequency curve
To draw the "less than" cumulative frequency graph, follow these steps:
1. On the x-axis, plot the upper boundaries of the wage intervals (45, 50, 55, 60, 65, 70, 75).
2. On the y-axis, plot the cumulative frequencies (5, 14, 29, 42, 53, 65, 70).
3. Plot the points corresponding to each wage boundary and its cumulative frequency.
4. Join the points with a smooth curve.

Would you like a detailed explanation on how to graph this, or any other clarifications?

Here are some related questions you could explore:
1. How do we calculate cumulative frequencies for grouped data?
2. What is the significance of a "less than" cumulative frequency graph?
3. How is an ogive (cumulative frequency curve) interpreted in statistics?
4. What other methods can be used to represent frequency distributions?
5. Can a "more than" cumulative frequency curve also be drawn for this data?

**Tip**: When plotting cumulative frequency curves, always use the upper class boundaries for the x-axis values.

The following data gives the distribution of wages of 70 workers. Draw a less than cumulative frequency and locate the median graphically.

Learn how to draw a less-than cumulative frequency curve for wage distribution of 70 workers and graphically determine the median. This solution covers constructing a cumulative frequency table and plotting the cumulative frequency graph.

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