significance-n; 3 Senses

Sense Number 1: the quality of being important, worthy of attention

Commentary: SIGNIFICANCE[+quality][+worthy][+of_attention]
NOTE: refers to the importance of something, not what it stands for.

Health insurance has become a social issue of some significance.
The significance of the composer's works was not fully appreciated in his lifetime.
The environmentalists did not understand the significance of nuclear power.

WordNet 3.0 Sense Numbers: 1

Sense Number 2: the meaning or implication of something

Commentary: SIGNIFICANCE[+entity][+abstract][+information][+meaning]
NOTE: refers to what something means or signifies, what it symbolizes.

What is the significance of the men removing their hats?
The significance of his remarks was intentionally ambiguous.
The significance of a given color is not the same across different cultures.

WordNet 3.0 Sense Numbers: 2, 3

Sense Number 3: degree of a result's deviation from a random distribution

Commentary: SIGNIFICANCE[+quantity][+degree][+deviation][+of_result][+from_distribution][+random]
NOTE: a statistical usage

The significance of these tests is only at the .05 level.
We could find no statistical significance in these results.

WordNet 0.0 Sense Numbers: 3