I wonder if there are well-known techniques in statistics for dealing with
the following problem.

      t
11 10 10 10 10 11 10 10 10 10 9 11 10 11 10 10 11 10 11 10 11 10 10
      11 10 11 10 10 10 11 10 74 11 11 14 11 11 10 12 11 15 14 12 11
      11 11 11 11 10 12 11 11 11 10 11 11 11 10 11 11 10 11 161241 49
      32 12 11 11 12 10 11 10 12 11 12 11 11 12 11 11 12 11 11 11 12
      11 11 12 11 11 11 11 11 11 11 10 11 11 12 12

t is a set of samples from a noisy source which is supposed to give the
same integer answer.  Obviously, 161241 is an "outlier", and it is likely
that 74, 49, or even 32 are outliers too.  Are there standard techniques
for discarding outliers to clean up the data, before the application of
statistical tests such as the means test or large sample test?
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