The question involves determining appropriate values for $A$ and $B$ on the Length axis. Here's how to solve it:

Step 1: Analyze the data

The data provided for length (in cm) is as follows: $113, \, 139, \, 109, \, 92, \, 120$

• Smallest value: $92 \, \text{cm}$
• Largest value: $139 \, \text{cm}$

The axis must cover this range while also making the scale consistent and evenly spaced.

Step 2: Choose the scale for the axis

To find appropriate values for $A$ and $B$:

1. $A$: The minimum value should ideally be slightly smaller than the smallest data point ($92$). A good choice is $A = 90$.
2. $B$: The maximum value should ideally be slightly larger than the largest data point ($139$). A good choice is $B = 140$.

Step 3: Verify the scale

• The axis range from $90$ to $140$ includes all the data points.
• The scale can be divided into even increments, for example, $10$-unit intervals ($90, 100, 110, \dots, 140$).

Final Answer:

• $A = 90$
• $B = 140$

Would you like more explanation about this? Let me know! 😊

Related Questions:

1. What is the process of finding an appropriate axis scale for data points?
2. How do we determine the range of an axis if the data points are very close together?
3. Why is it important to include some margin on the axis beyond the data points?
4. How can you choose the scale interval (e.g., 10, 20, etc.) for an axis?
5. What are the consequences of using an inappropriate scale for a graph?

Tip:

Always ensure that the axis covers the full range of data with a bit of margin, and the scale is simple and easy to interpret!