id: 06471404
dt: j
an: 2015e.00824
au: Falk, Ruma; Lann, Avital Lavie
ti: Numbers defy the law of large numbers.
so: Teach. Stat. 37, No. 2, 54-60 (2015).
py: 2015
pu: Wiley (Wiley-Blackwell), Oxford; Teaching Statistics Trust (TST) c/o
University of Plymouth, Faculty of Education, Royal Statistical Society
Centre for Statistical Education (RSSCSE), Plymouth, Devon
la: EN
cc: K50 K60 D70
ut: coin tosses; in the long run; regularities; numbers versus percents;
frequencies versus rates; misconceptions; law of large numbers
ci:
li: doi:10.1111/test.12031
ab: Summary: As the number of independent tosses of a fair coin grows, the
rates of heads and tails tend to equality. This is misinterpreted by
many students as being true also for the absolute numbers of the two
outcomes, which, conversely, depart unboundedly from each other in the
process. Eradicating that misconception, as by coin-tossing
experiments, should be incorporated early on into learning the law of
large numbers.
rv: