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To calculate the median from the given data, follow these steps:

1. **Organize the data** into a cumulative frequency table.
2. **Determine the total number of cities**, which is the sum of the frequencies.
3. **Find the median class** based on the cumulative frequency.
4. **Use the median formula** for grouped data.

Here's the table:

| Pollution Level | No. of Cities (Frequency) | Cumulative Frequency |
|-----------------|---------------------------|----------------------|
| 100-200         | 4                         | 4                    |
| 200-300         | 12                        | 16                   |
| 300-400         | 3                         | 19                   |
| 400-500         | 6                         | 25                   |

- The total number of cities = 4 + 12 + 3 + 6 = 25.
- Median position = \(\frac{25 + 1}{2} = 13\).

Now, look at the cumulative frequency to determine the class containing the 13th city. The cumulative frequency before the class 200-300 is 4, and after it is 16. So, the median lies in the 200-300 class.

### Formula for the median:
\[
\text{Median} = L + \left(\frac{\frac{N}{2} - CF}{f}\right) \times h
\]
Where:
- \(L = 200\) (Lower boundary of the median class)
- \(N = 25\) (Total frequency)
- \(CF = 4\) (Cumulative frequency before the median class)
- \(f = 12\) (Frequency of the median class)
- \(h = 100\) (Class width)

Substitute the values:

\[
\text{Median} = 200 + \left(\frac{12.5 - 4}{12}\right) \times 100
\]
\[
\text{Median} = 200 + \left(\frac{8.5}{12}\right) \times 100
\]
\[
\text{Median} = 200 + 70.83
\]
\[
\text{Median} \approx 270.83
\]

Thus, the median pollution level is approximately **270.83**.

Would you like further details on the process?

### Related Questions:
1. What is the mode of the pollution levels in this data?
2. How would you calculate the mean pollution level?
3. Can you explain how to find the class interval with the highest frequency?
4. How does this median calculation change with larger datasets?
5. What are the implications of median pollution levels in environmental studies?

### Tip:
Always ensure the data is arranged in ascending order of the variable when calculating the median for grouped data.

Calculate the median pollution level based on the given data table.

Learn how to calculate the median pollution level using the data provided in a table. This solution covers statistical concepts such as median, cumulative frequency, and applying formulas for grouped data. Suitable for high school students in Grades 10-12.

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