A representative sample is one that has the same composition as the total mixture. Collecting a representative sample is important for accurate measurements. It can sometimes be difficult to determine if a sample is truly representative. The document discusses sampling two materials, labeled A and B. Material A is uniform, while Material B contains a larger component that is not uniformly distributed. A representative sample can be collected from Material A but not Material B due to its non-uniform composition. To improve sampling of Material B, the sample size could be increased, the mixture stirred before sampling, or the large component reduced in size and mixed thoroughly.