Answer
These samples represent the same compound of mercury and oxygen.
Work Step by Step
Strategy: For these samples of oxygen and mercury to represent the same compound, the mass percentage of mercury and/or mass percentage of oxygen in each sample, should be equal or similar (within experimental error).
Therefore, we have to calculate the mass percentage of mercury and /or oxygen for each of the samples:
Sample A : mass percentage mercury = $\frac{mercury ( mass)}{Sample A (mass)}\times100$ = $\frac{0.9641 g}{1.0410 g}\times100$ = 92.61%
Sample B : mass percentage mercury = $\frac{mercury ( mass)}{Sample B (mass)}\times100$ = $\frac{1.4293 g}{1.5434 g}\times100$ = 92.61%
Sample C : mass percentage mercury = $\frac{mercury ( mass)}{Sample C (mass)}\times100$ = $\frac{1.1283 g}{1.2183 g}\times100$ = 92.61%
Mass percentage of mercury is the same in samples A, B, and C, therefore these samples represent the same compound of mercury and oxygen.