Which of the following statements is not correct for a bar graph ?

Options

A. All bars have different thickness
B. Distance between two consecutive bars is the same
C. The bars can touch each other
D. The thickness has no significance

Answer

To solve the question, we need to analyze each statement regarding bar graphs and determine which one is not correct.

### Step-by-Step Solution:

1. **Understand the properties of a bar graph**: A bar graph consists of rectangular bars where the length of each bar represents a value. The bars can be vertical or horizontal, and they are used to compare different categories.

2. **Analyze Statement 1**: "All bars have different thickness."
- In a bar graph, all bars should have the same thickness. This is a fundamental property of bar graphs to ensure that the comparison of the heights (or lengths) of the bars is accurate. Therefore, this statement is **not correct**.

3. **Analyze Statement 2**: "Distance between two consecutive bars is the same."
- This statement is true. In a bar graph, the distance between each bar is uniform to maintain clarity and accuracy in representation.

4. **Analyze Statement 3**: "The bars can touch each other."
- This statement can be true. While bars in a bar graph are typically separated by spaces, they can also be drawn touching each other in some cases, especially in the case of a histogram. So, this statement is correct.

5. **Analyze Statement 4**: "Thickness has no significance."
- This statement is true. In a bar graph, the height (or length) of the bars represents the values being compared, not the thickness. Thus, thickness does not affect the interpretation of the data.

6. **Conclusion**: The only statement that is not correct is Statement 1, which claims that all bars have different thickness.

### Final Answer:
The statement that is not correct for a bar graph is: **"All bars have different thickness."**