The line graph that can replace a histogram is called a an:

Options

A. frequency polygon
B. ogive
C. cumulative frequency less than type graph
D. cumulative frequency more than type graph

Answer

To solve the question "The line graph that can replace a histogram is called a:", we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Question**: The question asks for the name of a line graph that can replace a histogram. A histogram is a graphical representation of the distribution of numerical data, typically using bars.

**Hint**: Think about how data can be represented in different forms.

2. **Identifying the Graph Types**: A histogram uses bars to represent frequency distributions, while a line graph connects points to show trends over time or categories.

**Hint**: Consider how you can connect the midpoints of the bars in a histogram to form a line.

3. **Connecting the Concepts**: When you take the midpoints of the bars in a histogram and connect them with lines, you create a new type of graph. This new graph is useful for showing trends and changes over intervals.

**Hint**: What is the term used for a line graph that connects points representing frequencies?

4. **Defining the Term**: The line graph that connects the midpoints of the bars of a histogram is known as a **frequency polygon**.

**Hint**: Recall the term used in statistics that describes this type of line graph.

5. **Final Answer**: Therefore, the answer to the question is that the line graph that can replace a histogram is called a **frequency polygon**.

### Summary of the Steps:
- Understand the question about graphs.
- Identify the differences between a histogram and a line graph.
- Connect the concepts of midpoints and line connections.
- Define the term that describes the new graph.
- Conclude with the final answer.