To determine if the graph of load against extension passes through the origin, we need to verify whether the relationship between the load and extension begins at the origin (0,0).

From the table in the uploaded image:

• The load starts at 0.5 when there is already an extension of 11.25.
• This implies that when the load is zero, the extension is not zero.

Thus, the graph of load versus extension will not pass through the origin, as the data indicates an initial extension (preload or inherent extension in the material) before any load is applied.

Let me know if you need further analysis or a plotted graph of this data. Here are some related questions for deeper exploration:

1. Would the graph be linear, or is there evidence of non-linearity in the relationship?
2. How would removing the initial extension (preload) affect the graph?
3. Could this initial extension indicate some residual tension in the system?
4. Would extrapolating the graph to zero load give a meaningful physical interpretation?
5. How does the mean value contribute to ensuring accuracy in the graphing process?

Tip: Always examine if there are any offsets or inherent biases (like preloads) in experimental setups before plotting data.