Frequency polygon can be drawn after drawing

Options

A. ogive
B. bar chart
C. histogram
D. None of these

Answer

To determine whether a frequency polygon can be drawn after drawing a histogram, we will go through the necessary steps to understand the relationship between these two graphical representations of data.

### Step-by-Step Solution:

1. **Understand the Definitions**:
- A **frequency polygon** is a graphical representation of the distribution of a dataset, created by connecting the midpoints of the top of the bars of a histogram with straight lines.
- A **histogram** is a bar graph that represents the frequency distribution of numerical data. The bars touch each other, indicating that the data is continuous.

2. **Draw the Histogram**:
- To create a histogram, we need to plot the frequency of data points in intervals (bins). For example, if we have marks of students, we can create bins for ranges of marks (0-10, 10-20, etc.) and count how many students fall into each bin.
- On the x-axis, we will place the intervals (bins) and on the y-axis, we will place the frequency (number of students).

3. **Plot the Frequencies**:
- For each interval, draw a bar that corresponds to the frequency of that interval. Ensure that the bars are adjacent to each other without any gaps.

4. **Identify Midpoints**:
- Once the histogram is drawn, identify the midpoints of each bar. The midpoint of a bin can be calculated by taking the average of the lower and upper limits of the bin.

5. **Draw the Frequency Polygon**:
- To create the frequency polygon, plot the midpoints on the x-axis against their corresponding frequencies on the y-axis.
- Connect these points with straight lines to form the frequency polygon.

6. **Conclusion**:
- Therefore, a frequency polygon can indeed be drawn after creating a histogram, as the histogram provides the necessary data (frequencies) and midpoints to construct the frequency polygon.

### Final Answer:
A frequency polygon can be drawn after drawing a histogram.