Scouts and the
homeschooler
People who homeschool often find they don't get the big, high-energy, groups of people that are so common at school. Homeschool parents sometimes want their children to be in a structured group work setting. Scouts is an answer to this, and is fun besides.
Some people feel Scouts is too paramilitary for their taste. In modern Australian Scout groups, this is much less the case. The Australian Scouts now are a mix of boys and girls, wear blue + highlight colour uniforms that look like sporting team t-shirts, and don't use military-style discipline.
Girls are a majority in some Scout groups, but there is also still a Girl Guide organisation which is much smaller than Scouts.
Scouts run on volunteer adults, mostly parents. In modern times, it becomes harder and harder to find adults to come and pitch in to keep a Scout group going - it seems everyone's time is scarce these days.
Homeschoolers are sometimes exceptions to the scarce-time rule. They do have time to pursue their interests, so if their interest is Scouts, it can get done very well. I know two sisters who recently became Girl Guide legends because they won every single achievement badge there is. People asked how they could ever get time to do it - they had time because they were doing the badges as their homeschooling work. They said it was good to do all the badges, because it made them do things they wouldn't normally have been interested in.
Scout badges (and Girl Guide badges) are actually a handy tool for the homeschooler who wants to have an external proof that the kid has done something. The badge requirements actually are good documentation that looks very much like school curriculum work on these subjects. For example, I showed the requirements for the Cub Scout Photography badge to a lecturer at a university photography lecturer. He said that they were very much the same sort of thing as he would set for his students (though at a different level). Not many of the badges are outdoorsy, and the badges relate to a wide range of useful and interesting topics. If anyone were to do every single Scout badge, they would have gone through a good educational curriculum.
The other happy combination of Scouts and homeschooling has been where homeschool parents have made time available to be adult volunteers making the Scout group work. I know of one Scout group that only gets anything done because one homeschool family does it.