In a 2013 paper Maryam Mirzakhani considered various geometric quantities on random closed hyperbolic surfaces as the genus g goes to infinity. Among other things she proved that the expected diameter goes to infinity like log g. This was a motivation to ask similar questions about large genus translation surfaces. In joint work with Kasra Rafi and Anja Randecker we show that in the minimal stratum if we normalize translation surfaces to have area g then as g goes to infinity an upper bound for the expected diameter is square root of log g.