🔼The name Medad in the Bible
There is only one man named Medad in the Bible. He and a man named Eldad are part of a contingent of seventy men who were assigned to help Moses with the government of Israel (Numbers 11:16). They are told to come to the tent of meeting, for their inauguration, some face-time with YHWH and to be endowed with the Spirit of the Lord. There aren't many of us who get the chance of conversing with the Lord in physical reality and for some utterly mysterious reason, Medad and Eldad decide not to go.
The Lord addresses the sixty-eight and pours our His Spirit over them, and back in camp, Medad and Eldad start prophesying anyway (Numbers 11:25).
Joshua gets upset with all of this, but Moses calms him down and expresses the wish that all the Lord's people were prophets and receptive for the spirit of the Lord (Numbers 11:29). The government of Israel gets going, but whatever happened with Medad and Eldad the story doesn't tell.
🔼Etymology of the name Medad
The name Medad comes from the verb ידד (yadad), meaning to love:
The letter מ (mem) with which our name starts is a common augmentation of any root. It basically means "from" and has the function of creating a "vessel" in which the verb takes place. Medad would thus literally mean Lover.
For a meaning of the name Medad, NOBSE Study Bible Name List reads Beloved and Jones' Dictionary of Old Testament Proper Names has simply Love. BDB Theological Dictionary doesn't translate our name but does list it under the verb ידד.