Answer: The subject of
your speech is very broad and, as described, quite general. In
addition, let me say at the start, that I know of no statistics that are
kept by youth associations on cutting or for that matter, on the
number of kids who tryout for various sports teams. I do have opinions on
the subject that I will get to.
In order to help I need to narrow the
field a little bit. For example, how old are the kids you are considering?
12 years old or younger, or teenagers? The situation is different
depending upon the age of the player.
I assume your question relates to
competitive/traveling teams not recreational teams since recreational
teams typically do not cut players.
Most youth sports for young children (about
5, 6 or 7) are, or should be, recreational (i.e. all participants who want
to play are assigned to a team). No one is cut or excluded. These programs
usually have a mandatory playing time rules. Most children in this age
group should be playing in recreational programs. I would also recommend
"rec" programs over "traveling" programs for most kids
up to 12, 13, or 14. Beyond that we're into middle school and high school
and most of those are highly competitive and include tryouts.
I would estimate that perhaps 75-85% of
the youngsters in 5, 6, 7 age group play on "rec" teams where
cutting is not common. There are, however, parents who want their very
young child to play in highly competitive programs and for that reason
associations may offer "traveling" teams as well as
"rec" teams. Many, but not all, traveling teams require that
players tryout and only the better players are selected. One notable
exception, Pop Warner Football, a huge program featuring thousands of
"traveling" teams from across the country, does not permit try
outs. In most traveling soccer and baseball programs that I am familiar
with, players try out for the team. Still the number of selective travel
programs in the 5, 6, 7 age is probably small, perhaps 15-25% of teams
available. The number of competitive travel type programs increases,
however, in the older age groups.
Also in the older age groups, the number
of rec teams decrease because the number of athletes decreases (see the
sports participation triangle shown below). So cutting is more of a
problem for older kids. There aren't any as many options for them.

Statistics show that more than 70% of the
kids who play youth sports drop out by age 12 because of demanding
coaches, extreme focus on winning, they aren't playing and because the
sport is no longer fun.
I should point our that abusive and
overzealous coaches can be found in either rec or travel programs.
Kids sports (all ages) should be all about
fun, participation and skill and social development. Most children can
benefit from participation in a good recreational program and do not need
the highly competitive situations found in most traveling programs. As
kids grow and mature they should be playing regularly to develop skills,
not sitting on the bench which is what happens to so many kids on
traveling teams. Even if they make the team (do not get cut) unless they
are among the best players, they participate very little. Most kids (and
their parents) that do not participate after making the team are very
unhappy. Kids that get cut are unhappy because they have been rejected,
and few kids (like most adults) can handle rejection well. It is best to
avoid the problem.
For this reason, I believe parents
usually make a mistake by allowing or forcing their child to play in a
competitive/selective program. The player may have a better chance to
develop and continue his or her interest in the sport if playing
recreationally. Then when reaching middle school or high school he or she
will have developed skills needed to play in the more competitive
situation.
In summary, the best answer I can give you
regarding the question of cutting is this: