To draw a histogram and a frequency polygon from the given data, follow these steps:

Step 1: Data Breakdown

Step 2: Create the Histogram

• X-axis: Age groups (in years), where each interval is from the table (1–2, 2–3, etc.).
• Y-axis: Number of children corresponding to each age group.
• Each bar should have a height equal to the number of children in that age group, and bars should be placed right next to each other (without gaps), as this is a continuous data set.

Step 3: Create the Frequency Polygon

• Midpoints of Age Groups: Calculate the midpoint of each age group by averaging the lower and upper limits of each interval.
  • 1–2: (1+2)/2 = 1.5
  • 2–3: (2+3)/2 = 2.5
  • 3–5: (3+5)/2 = 4
  • 5–7: (5+7)/2 = 6
  • 7–10: (7+10)/2 = 8.5
  • 10–15: (10+15)/2 = 12.5
  • 15–17: (15+17)/2 = 16
• Plot these midpoints on the X-axis and the corresponding frequencies (number of children) on the Y-axis. Connect the points to form the frequency polygon.

Would you like me to create this graph for you, or do you need any clarifications on the steps?

Here are 5 questions to expand:

1. What is the importance of midpoints in a frequency polygon?
2. How do you calculate the width of the bars in a histogram?
3. Can frequency polygons and histograms be used for both continuous and discrete data?
4. How does the histogram visually represent the distribution of data?
5. What are some key differences between histograms and bar graphs?

Tip: When drawing a histogram, ensure that the bars touch each other since it represents continuous data.