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This problem asks us to use the cumulative frequency graph to compare the central tendency and spread of birth weights in two countries. Here's how to approach this:

### Central Tendency (Median):
The median is the value corresponding to the 50th percentile, or the point where the cumulative frequency is 450 (since there are 900 babies in each country). On the graph:

- For **Country A** (solid line), at 450 cumulative frequency, the weight is approximately **3.5 kg**.
- For **Country B** (dashed line), at 450 cumulative frequency, the weight is approximately **4.5 kg**.

Thus, the median birth weight in **Country B** is higher than in **Country A**.

### Spread (Interquartile Range, IQR):
The interquartile range is the difference between the 75th percentile (675th baby) and the 25th percentile (225th baby). We will find these weights on the graph for each country.

- For **Country A**:
  - 75th percentile (675th baby) ≈ **4.4 kg**.
  - 25th percentile (225th baby) ≈ **2.8 kg**.
  - IQR for Country A = \(4.4 - 2.8 = 1.6\) kg.

- For **Country B**:
  - 75th percentile (675th baby) ≈ **5.2 kg**.
  - 25th percentile (225th baby) ≈ **3.8 kg**.
  - IQR for Country B = \(5.2 - 3.8 = 1.4\) kg.

### Conclusion:
- **Median**: Babies in **Country B** tend to have a higher birth weight (4.5 kg vs. 3.5 kg for Country A).
- **Spread**: The interquartile range (IQR) shows that Country A has a slightly larger spread (1.6 kg vs. 1.4 kg for Country B), indicating more variability in birth weights in Country A.

Would you like further clarification or more details on any part of this solution?

Here are 5 related questions:
1. How can we use the mean to compare the central tendency in addition to the median?
2. What is the significance of using cumulative frequency graphs for data comparison?
3. How would outliers affect the comparison of these two data sets?
4. Can we estimate the range of birth weights from the graph? How?
5. How does standard deviation compare to interquartile range for measuring spread?

**Tip**: When interpreting cumulative frequency graphs, the median and IQR can provide a clear understanding of central tendency and spread without requiring all raw data.

The birth weights of random samples of 900 babies born in country A and 900 babies born in country B are illustrated in the cumulative frequency graphs. Use suitable data from these graphs to compare the central tendency and spread of the birth weights of the two sets of babies.

This statistics problem compares the birth weights of 900 babies from two countries using a cumulative frequency graph. Learn how to analyze central tendency through median birth weights and assess spread using the interquartile range (IQR). Suitable for students in Grades 9-12.

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