unlike IQ, extremely high EQ is not necessarily considered a good thing. A "good" EQ is defined as slightly higher than average, which is around 100.
One anecdote for you: at a top 10 business school, out of 200 participants on an EQ test, the average turned out to be 95, lower than the population average. The instructor said it was normal. And she said an abnormally high EQ makes one a strange person:)