Analysis

At its melting point, the specific heat at constant pressure for solid indium is
0.063 cal/g C, and for the liquid indium is 0.061 cal/g C. Do you need this data? If the material was unknown, how would you find the specific heat?
Determine the heat of transformation (melting) for indium.
Make plots of the data you obtain in each experiment, and compare steady state and dynamic measurements if both are taken.

Where appropriate, consider obtaining an analytical expression for the expected data and plotting this with your experimental data. If "standard" data is available - for example from steam tables - compare your measurements to these values.

Determine if indium expands or contracts upon freezing, make a sketch of the (p,v,T) surface that involves the liquid to solid transition, and draw on it the "path" corresponding to your experimental data. Do the same thing for the water data.