Descriptive Statistics
Statistics that quantitatively describes an observed data set. Analysis for descriptive statistics is performed on and conclusions drawn from the observed data only, and does not take into account any larger population of data.

Inferential Statistics
Statistics that make inferences about a larger population of data based on the observed data set. Analysis for inferential statistics takes into account that the observed data is taken from a larger population of data, and infers or predicts characteristics about the population.