1 importance; noteworthiness (his opinion is of no significance).
2 a concealed or real meaning (what is the significance of his statement?).
3 the state of being significant.
4 Statistics the extent to which a result deviates from a hypothesis such that the difference is due to more than errors in sampling.
Etymology: OF significance or L significantia (as SIGNIFY)
Useful english dictionary. 2012.