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BinCounts

BinCounts[{x1, x2, ...}]
counts the number of elements xi whose values lie in successive integer bins.
BinCounts[{x1, x2, ...}, dx]
counts the number of elements xi whose values lie in successive bins of width dx.
BinCounts[{x1, x2, ...}, {xmin, xmax, dx}]
counts the number of xi in successive bins of width dx from xmin to xmax.
BinCounts[{x1, x2, ...}, {{b1, b2, ...}}]
counts the number of xi in the intervals (b1, b2), (b2, b3), ....
BinCounts[{{x1, y1, ...}, {x2, y2, ...}, ...}, xbins, ybins, ...]
gives an array of counts where the first index corresponds to x bins, the second to y, and so on.
  • BinCounts drops elements whose values do not correspond to real numbers.
  • BinCounts[data, dx] takes the bin boundaries to be integer multiples of dx, with the first bin starting at Ceiling[Min[data]-dx, dx] and the last bin ending at Floor[Max[data]+dx, dx].
  • If the bi do not form an increasing sequence, they are automatically sorted by BinCounts.
  • In BinCounts[data, {{b1, b2, ...}}], elements are counted in bin i when their values satisfy b_i≤x<b_(i+1).
  • If data consists of length-n sublists, then n bin specifications must be given, and BinCounts[data, ...] yields an array of depth n.
EXAMPLESCLOSE ALL
Basic Examples   (3)
Count the number of elements in bins of width 1 from 0 to 10:
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Count the number of elements in a sequence of ranges:
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Click for copyable input
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Count the number of elements in bins of a specified width:
In[1]:=
Click for copyable input
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