Average Data With Specific Criteria

I have a data base with 12 columns of data. I need it to look for one criteria in one row, match it, look for another criteria in another row, match that, and then once those criteria are met, average those rows that met the criteria with the statistics in that row that contains a value.

Such as:
Monica 2 Timed 310 Michele
Tom 3 UnTimed 410 TC
Art 5 Timed 216 TC
Monica 4 Timed 415 Michele
Tom 6 Timed 200 TC
Tom 4 Untimed 216 TC
Art 8 Timed 410 TC

What I need is the formula to search in through the data, look for Tom, then find all the ones that say UnTimed, and then average the number in column 2 that match those criteria.