The IUCN, the International Union for Conservation of Nature, describes threatened organisms in these categories:
In descending order of threat, the IUCN Red List threat categories are as follows:
Extinct or Extinct in the Wild
Critically Endangered, Endangered and Vulnerable: species threatened with global extinction.
Near Threatened: species close to the threatened thresholds or that would be threatened without ongoing conservation measures.
Least Concern: species evaluated with a lower risk of extinction.
Data Deficient: no assessment because of insufficient data.
The IUCN explanations of these categories are available
here.
An example of an Extinct in the Wild plant could be the tuberose, which everybody knows under the name Polianthes tuberosa. Europeans found it growing in Aztec gardens, but it is unknown in the wild. By the way, taxonomists have decided this plant is an Agave and have renamed it Agave amica.