Draw a less than ogive from the following data: Weekly income (7) (equal to or more than) 12,000 11,000 10,000 8,000 6,000 4,000 3,000 2,000 1,000 No. of families 0 6 14 26 42 54 62 70 80 From the graph estimate the number of families in the income range of 2500 rupees and 10500 rupees Also find maximum income of the lowest 25% of the families

Here is the "Less Than Ogive" graph for the given data. 

### Estimation Steps:
1. **Families in the income range of 2,500 to 10,500 rupees**:
   - From the graph, find the cumulative frequency at 10,500 and 2,500 rupees (approximate from the plot).
   - Subtract the two cumulative frequencies to estimate the number of families in that income range.

2. **Maximum income for the lowest 25% of families**:
   - 25% of 80 families is 20 families.
   - From the graph, find the income level corresponding to a cumulative frequency of 20 families. This value is the maximum income for the lowest 25%.

Would you like further details on how to read these estimates from the graph?

Here are five related questions you might find helpful:
1. How would an "equal to or greater than" ogive differ from a "less than" ogive?
2. How can you estimate median income from this ogive?
3. How does the cumulative frequency shape influence income distribution interpretation?
4. What other tools can help analyze income distributions in larger populations?
5. How would this process change for grouped or unequal income intervals?

**Tip:** When plotting cumulative graphs like ogives, ensure the income axis and frequency axis are clearly marked for accurate estimation.

Draw a less than ogive from the following Weekly income (7) (equal to or more than) 12,000 11,000 10,000 8,000 6,000 4,000 3,000 2,000 1,000 No. of families 0 6 14 26 42 54 62 70 80 From the graph estimate the number of families in the income range of 2500 rupees and 10500 rupees. Also, find the maximum income of the lowest 25% of the families.

Learn how to draw a less than ogive using cumulative frequency data. Estimate the number of families in the income range of 2500 to 10500 rupees and find the maximum income for the lowest 25% of families. This statistical analysis covers concepts like cumulative frequency and percentile estimations, suitable for high school students.

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