Generally, homogeneity means being the same throughout. For various specialized meanings, see:

• Homogeneous (mathematics), a variety of meanings
• In statistics homogeneity can refer to
  • Homogeneity of variance: Homoscedasticity
  • Logically consistent data matrices: homogeneity (statistics).
• Homogenetic or homoplastic, in biology, applied both to animals and plants, of having a resemblance in structure, due to descent from a common progenitor with subsequent modification