The best scale for the length axis on a scattergraph with lengths ranging from 92 to 139 cm would be to start at 90 cm (A) and end at 140 cm (B), with intervals of 5 or 10 cm for ease of reading and precise plotting.
When choosing the best scale for the length axis on a scattergraph, we need to consider the range of the data provided.
For the lengths mentioned - 92 cm, 109 cm, 113 cm, 120 cm, and 139 cm - we can start just below the smallest value and end just above the largest value.
A suitable scale should allow for all data points to be plotted clearly without unnecessary space on either end of the axis.
For this data set, a good starting point (A) for the axis could be 90 cm, since it is just below the smallest length of 92 cm. The ending point (B) could be 140 cm, as it is just above the largest length of 139 cm.
The interval between the scale marks should be chosen for ease of reading. An interval of 5 or 10 would be practical and allow for precise plotting of the data points.
Therefore, the scale might progress in increments such as 90, 95, 100, 105, and so on up to 140. This makes the graph easy to read and the data easy to plot.