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based on an earlier version of the Wolfram Language.
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ContraharmonicMean

ContraharmonicMean[list]
gives the contraharmonic mean of the values in list.
ContraharmonicMean[list, p]
gives the order p Lehmer contraharmonic mean.
  • For the list {x1, x2, ..., xn}, the contraharmonic mean is given by (sum_ix_i^2)/(sum_ix_i).
  • The order p Lehmer mean is given by (sum_ix_i^p)/(sum_ix_i^(p-1)).
  • ContraharmonicMean[{{x1, y1, ...}, {x2, y2, ...}, ...}] gives {ContraharmonicMean[{x1, x2, ...}], ContraharmonicMean[{y1, y2, ...}]}.
Symbolic values:
Means of each column:
New in 7