Two students, A and B, investigate how the extension of a spring varies with the applied load force. Each student uses a different set of loads on the same type of spring and the same measuring equipment.
Table 1: Student A data Load (N)Extension Trial 1 (mm)Extension Trial 2 (mm)Mean extension (mm)Spring constant (N/mm)23750.4035970.4361410120.50\begin{array}{|c|c|c|c|c|} \hline \text{Load (N)} & \text{Extension Trial 1 (mm)} & \text{Extension Trial 2 (mm)} & \text{Mean extension (mm)} & \text{Spring constant (N/mm)} \\ \hline 2 & 3 & 7 & 5 & 0.40 \\ \hline 3 & 5 & 9 & 7 & 0.43 \\ \hline 6 & 14 & 10 & 12 & 0.50 \\ \hline \end{array}Load (N)236Extension Trial 1 (mm)3514Extension Trial 2 (mm)7910Mean extension (mm)5712Spring constant (N/mm)0.400.430.50
Table 2: Student B data Load (N)Extension Trial 1 (mm)Extension Trial 2 (mm)Mean extension (mm)Spring constant (N/mm)1.01.71.91.80.562.03.43.63.50.573.05.15.35.20.584.06.87.06.90.585.08.48.68.50.59\begin{array}{|c|c|c|c|c|} \hline \text{Load (N)} & \text{Extension Trial 1 (mm)} & \text{Extension Trial 2 (mm)} & \text{Mean extension (mm)} & \text{Spring constant (N/mm)} \\ \hline 1.0 & 1.7 & 1.9 & 1.8 & 0.56 \\ \hline 2.0 & 3.4 & 3.6 & 3.5 & 0.57 \\ \hline 3.0 & 5.1 & 5.3 & 5.2 & 0.58 \\ \hline 4.0 & 6.8 & 7.0 & 6.9 & 0.58 \\ \hline 5.0 & 8.4 & 8.6 & 8.5 & 0.59 \\ \hline \end{array}Load (N)1.02.03.04.05.0Extension Trial 1 (mm)1.73.45.16.88.4Extension Trial 2 (mm)1.93.65.37.08.6Mean extension (mm)1.83.55.26.98.5Spring constant (N/mm)0.560.570.580.580.59
The manufacturer states that the true value for the spring constant of this spring is 0.58 N/mm0.58\text{ N/mm}0.58 N/mm.
Compare the data recorded in the two tables. Explain which student's data is the most accurate and precise.