A set of annual numerical data, comparable over the years, is given for the last 12 years.
1. The data is best represented by a broken line graph, each corner (turning point) representing the data of one year.
2. Such a graph depicts the chronological change and also enables one to make a short-term forecast.
Which of the above statements is/are correct?

Options

A. 1 only
B. 2 only
C. Both 1 and 2
D. Neither 1 nor 2

Explanation

To solve the question, we need to analyze the two statements provided regarding the representation of annual numerical data over the last 12 years.

### Step-by-Step Solution:

1. **Understanding the Data**:
The question states that we have a set of annual numerical data that is comparable over the years for the last 12 years. This means we can analyze trends and changes in the data over this time period.

**Hint**: Look for characteristics of the data that allow for comparison over time.

2. **Evaluating Statement 1**:
The first statement claims that the data is best represented by a broken line graph, with each corner (turning point) representing the data of one year. A broken line graph (or line graph) is indeed a common way to represent time series data, as it shows how values change over time. Each point on the graph corresponds to a specific year, and the corners represent the values for those years.

**Hint**: Consider how line graphs visually represent data points over time.

3. **Evaluating Statement 2**:
The second statement suggests that such a graph depicts chronological change and enables short-term forecasting. A line graph does show changes over time (chronological change) as it connects data points sequentially. Additionally, by observing the trend in the graph, one can make short-term forecasts about future values based on past behavior.

**Hint**: Think about how trends in data can help predict future outcomes.

4. **Conclusion**:
Both statements are correct. The first statement accurately describes the representation of the data using a broken line graph, and the second statement correctly explains the benefits of such a graph in showing chronological changes and facilitating short-term forecasts.

**Final Answer**: Both statements are correct.

### Summary:
- Statement 1 is correct: A broken line graph is suitable for representing annual numerical data over years.
- Statement 2 is correct: Such a graph shows chronological changes and allows for short-term forecasting.

**Final Conclusion**: Both statements are correct, so the answer is option C: Both first and second are correct.