Yes... as the title reads, statistics must be an illusion as well.
Why are there statistics, what are they by definition?
Statistics is a collection of numbers collerated to any fact, for instance point averages, assists and defences; population numbers, percentages of this and that; and for a larger data pool, the statistics are often derived from a random sample pool that is only part of the greater data pool (to save time; with it's own calculations of deviation).
Hence... with deviation, comes error.... and probable mistakes.
Statistics say... 90% of the Indonesian population is Muslim. If that is the fact, why are 90% of all the girls I find interesting Christian??