A thorough examination of composite volcanoes (stratovolcanoes) on the Martian surface by satellite remote sensing (via Google Mars) has revealed that these volcanoes are rarely occurring independently but frequently occurring as parasitic landforms which were re-erupted at the bottom floor of larger collapse calderas after re-filling of the magma chamber below. Fifteen independent composite volcanoes of which ten volcanoes are described for the first time, beside new twenty-one representatives of parasitic composite volcanoes are subjected to detailed statistical analyses for their topographic and morphologic characters. The data are discussed, correlated and represented graphically. In addition, the topography and morphology of fourteen volcanoes of the previously known major and minor shield volcanoes are statistically analyzed in order to homogenize method of study for means of correlation with the composite volcanoes. The study contributes to improved understanding of the volcanic activity, structures and deposits on Mars.