I couldn't find anything in the comments of that article regarding a correction (strange that it doesn't make the correction in the body instead of putting that asterisk and comment in there). But the number for women is way off - see below...
This says it is much higher for women which makes sense to me based on what I have seen.
According to the USGA, the average handicap of the American golfer is 16.1 for men and 29.2 for women. These numbers have remained largely the same over the last 15 years despite significant technology advances with equipment.
I've found several articles that state "according to the USGA..." but none of them provided a link to the source. The USGA does provide this though:
The median is in the 14s for men, 27s for the women. The average would be a bit time consuming to compute from those tables, but I can see by inspection that it's going to be fairly close to the median. (The average for the women might be a bit higher than the median, since the percentage of golfers in the highest range is disproportionately large.)
So the 15.2 or 16.1 for men, and 29.2 for women, seem reasonable to me. I don't know where that first article gets that it's 15.2 for women - goes to show you need to be careful when citing internet blogs for data.
Also, "remained largely the same" depends on your definition: Handicaps have in fact gone down a stroke or two over the last several years.
Again, as others have pointed out, remember that these numbers only account for people who keep handicaps.