A field in physics means a physical object that has a finite value everywhere in a given region of the space.
Electric field is a space around a charged object where the influence of the charge can be felt. Now as a charge can experience force due to another charge, thus the influence here becomes the force, so electric field is called a force field too. Mathematically, in this case electric field intensity which is force experienced by a test charge placed at that point of the field, gives the estimate of the strength of the field at that point.