[katovatzschyn]

Not exactly. There were 3.500m people alive then, and about 7.000m now, but because many of the 3.500m died and were replaced over those 44 years, you would actually be older than more than half of the world with high probability.

According to the figures provided, 77.500m humans total in 1967, 83.200m total now, so 5.700m had been born since then, but the population only increased by 3.500m, meaning 2.200m people had died since 1967. Without stronger data, it's impossible to say whether the people dying tended to be older or younger than a certain age, so it's not possible to say with any reasonable certainty what the actual fixed point is, or even the ratio of people younger or older than you.

Though, Wolfram Alpha reports the median age of the Earth to be about 27,6.

http://www.wolframalpha.com/input/?i=world+%7C+median+age