Experiments are a method for finding solutions to problems.
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The graphical method is often approximate but can be applied to any function. If done on a computer, the region surrounding the solution can be enlarged to obtain more accurate estimates. A numerical method will give an exact result is an analytical solution is possible. If not, the solution will depend on the numerical method used and, sometimes, the starting "guesstimate".
A root-finding algorithm is a numerical method, or algorithm, for finding a value. Finding a root of f(x) − g(x) = 0 is the same as solving the equation f(x) = g(x).
Methods for finding solutions may fail for a variety of reasons:there may not be a solution;there may not be a solution in the relevant domain - for example 2x = 3 has no solution if x must be an integer, but it does have a colution if x is allowed to be a fraction.the method may diverge away from the solution rather than converge towards it.
formula for finding mean through direct mean method: sigma fi xi /sigma fi
Read the Iliad, by Homer.