https://file.aiquickdraw.com/mathbot/file/17279942363041bqrpar3.jpg

The graph above shows the Ogive (cumulative frequency curve) for the data. The first quartile (Q1) and third quartile (Q3) are indicated as horizontal dashed lines:

- **Q1 (First Quartile)**: This corresponds to the 50th worker (25% of the total). From the graph, you can trace horizontally from 50 on the y-axis to the curve, then down to the x-axis to estimate the age range.
  
- **Q3 (Third Quartile)**: This corresponds to the 150th worker (75% of the total). Similarly, you can trace from 150 on the y-axis to the curve and then down to estimate the age range.

- **Central 50% limit**: This lies between Q1 and Q3. These values indicate the range of ages that comprise the central 50% of workers.

Would you like a more detailed breakdown of the values from the graph or any further clarifications?

### Further related questions:
1. How do we calculate exact values for Q1 and Q3 using interpolation?
2. Can we calculate the interquartile range (IQR) from this data?
3. How does the cumulative frequency curve help in finding the median as well?
4. What does the central 50% limit of age represent in this context?
5. How does one use the Ogive to find percentiles other than Q1 and Q3?

**Tip:** The area between Q1 and Q3, known as the interquartile range (IQR), is a useful measure of data spread, particularly for detecting outliers.

For the data given below, find graphically the following: (a) First and Third Quartile (b) The central 50% limit of the age.

Learn how to graphically determine the first quartile (Q1), third quartile (Q3), and the central 50% limit of age using a cumulative frequency (Ogive) curve. This problem provides a clear step-by-step process for interpreting data in the age range and finding the relevant quartiles.

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