What people lived in the Algonquian tribe?

"Algonquian" (with a second "a") is not the name of a tribe.

It is the name of a very large family of languages, all distantly related to each other, spoken by many different tribes including some on the Plains, some in the far north woodlands, some around the Great Lakes and others along the east coast of North America. These include the Blackfoot, Arapaho, Cheyenne, Sauk and Fox, Illinois, Miami, Ojibwe, Cree, Shawnee, Delaware, Abenaki, Mahican, Mohegan, Pequot, Wampanoag, Powhatan and many more.

The Word Algonquian means "like the Algonkin tribe", since they have been chosen as a typical representative of this large language group. The Algonkin are a small ribe living along the ottawa river valley in Canada. At first contact they numbered around 6,000 ; today there are perhaps 8,000, still living in small, widely dispersed communities.