Abstract from the Study "Personality And Individual Differences" - June 2013. PDF available here

Physical characteristics, such as height, play an important role in human mate preferences. Satisfaction with one's own height and one's partner height seem likely to be related to these preferences. Using a student sample (N = 650), we show that women are not only more selective, but also more consistent, than men, in their partner height preferences. Women prefer, on average, a larger height difference between themselves and their partner (i.e. males being much taller than themselves) than men do. This effect is even more pronounced when examining satisfaction with actual partner height: women are most satisfied when their partner was 21 cm taller, whereas men are most satisfied when they were 8 cm taller than their partner. Next, using data from our sample and that of a previously published study (N = 52,677), we show that for men, height is more important to the expression of satisfaction with one's own height than it is for women. Furthermore, slightly above average height women and tall men are most satisfied with their heights. We conclude that satisfaction with one's own height is at least partly a consequence of the height preference of the opposite sex and satisfaction with one's partner height. 

This is from 2008, so it's not up to date current, but the point still stands. I don't know how people conflate 6' with average. On just about every website, people swear being under 6' isn't normal and makes you some kind of pariah. 60% of men are under 5'10 which means that average height is beneath that - 5'9

Source: https://www2.census.gov/library/publications/2010/compendia/statab/130ed/tables/11s0205.pdf

Would it be packs of women chasing you down to sleep with you? I doubt it because many of my friends who are 6'+ get zero play. So how you would your life change in a way that you wouldn't have to work as hard to achieve something as you do now because you believe your height is holding you back?

With me it would be not having to put up with being accused of "little man syndrome", so purely psychological. I think I'd also feel more confident.

 http://myfox8.com/2016/03/17/short-men-less-attractive-to-women-according-to-duke-university-study/

I was reading something and found it interesting. It said that a man who is 5'4 is more likely to accept his height than a man who is 5'8 because the shorter man is further away from the most acceptable height. So in other words, a man who is close to being a desired height of 6', just being short of it, is harder to take then being far away from it. Thoughts?

"By analyzing data from 7,850 married women, researchers from Konkuk University in Seoul, South Korea found that the greater the height difference in a heterosexual couple, the happier the wife was.

But why? Well, evolution probably has something to do with it."

"Women evolved to prefer tall men because they were perceived to be stronger, and naturally they are happy when they have what they like," writes Sohn."

http://www.mindbodygreen.com/0-22834/your-partners-height-may-be-able-to-predict-the-success-of-your-relationship.html

http://www.bbc.com/future/story/20150928-tall-vs-small-which-is-it-better-to-be

"Get ready to finally embrace your short stature, Skee-Lo!

We've long known that short people live longer than the taller among us. Past studies have examined the relationship between height and lifespan of populations around the world, suggesting that shorter people generally live longer lives, while taller people are more likely to have certain illnesses and develop various types of cancer.

Now, thanks to new research published in the journal PLOS ONE, researchers have finally discovered the secret behind shorter people's longevity: It's in their genes."

Source http://www.huffingtonpost.com/2014/05/16/short-men-live-longer-study_n_5299557.html