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The image contains a problem asking to "Draw a histogram, a frequency polygon, and a cumulative frequency curve" using the given dataThe image contains a problem asking to "Draw a histogram, a frequency polygon, and a cumulative frequency curve" using the given 

Here is the data extracted:

| Mass (F) | Frequency (f) |
|----------|---------------|
| 0.5      | 5             |
| 5-10     | 7             |
| 10-15    | 8             |
| 15-20    | 13            |
| 20-25    | 7             |
| 25-30    | 6             |
| 30-35    | 4             |
| 35-40    | 1             |

### Steps to draw the three types of graphs:

1. **Histogram**: Plot the mass intervals on the x-axis and the corresponding frequency on the y-axis. Each interval will have a rectangular bar with a height representing the frequency.

2. **Frequency Polygon**: This is drawn by connecting the midpoints of the tops of the histogram bars with straight lines. The midpoint of each class is calculated and plotted against the frequency.

3. **Cumulative Frequency Curve (Ogive)**: For this, we create a cumulative frequency table and plot the cumulative frequency against the upper class boundaries. The curve is a smooth line that rises progressively.

Let me know if you'd like me to generate these graphs or help with further calculations! Also, here are 5 questions based on this dataThe image contains a problem asking to "Draw a histogram, a frequency polygon, and a cumulative frequency curve" using the given 

Here is the data extracted:

| Mass (F) | Frequency (f) |
|----------|---------------|
| 0.5      | 5             |
| 5-10     | 7             |
| 10-15    | 8             |
| 15-20    | 13            |
| 20-25    | 7             |
| 25-30    | 6             |
| 30-35    | 4             |
| 35-40    | 1             |

### Steps to draw the three types of graphs:

1. **Histogram**: Plot the mass intervals on the x-axis and the corresponding frequency on the y-axis. Each interval will have a rectangular bar with a height representing the frequency.

2. **Frequency Polygon**: This is drawn by connecting the midpoints of the tops of the histogram bars with straight lines. The midpoint of each class is calculated and plotted against the frequency.

3. **Cumulative Frequency Curve (Ogive)**: For this, we create a cumulative frequency table and plot the cumulative frequency against the upper class boundaries. The curve is a smooth line that rises progressively.

Let me know if you'd like me to generate these graphs or help with further calculations! Also, here are 5 questions based on this 

1. How do you calculate the midpoint for each class in a frequency distribution?
2. What is the total frequency, and how does it relate to the cumulative frequency curve?
3. Can you explain the difference between a histogram and a frequency polygon?
4. Why is it important to use cumulative frequency in data analysis?
5. How would the shape of the histogram change if we changed the class width?

**Tip**: When constructing a frequency polygon, make sure the starting and ending points touch the x-axis, extending slightly beyond the data range.

Draw a histogram, a frequency polygon, and a cumulative frequency curve using the given data.

Learn how to draw a histogram, frequency polygon, and cumulative frequency curve using a provided dataset. Understand key concepts like frequency distribution, midpoints, and cumulative frequency. Suitable for students in Grades 9-11.

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