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.
Details

- 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].
- BinCounts[data] is equivalent to BinCounts[data,1].
- BinCounts[data,{xmin,xmax}] is equivalent to BinCounts[data,{xmin,xmax,1}].
- In BinCounts[data,{xmin,xmax,dx}], elements are counted in bin i when their values satisfy
.
- In the form BinCounts[data,{{b1,b2,…}}], the bi at each end can be -Infinity and +Infinity.
- 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
.
- If data consists of length-n sublists, then n bin specifications must be given, and BinCounts[data,…] yields an array of depth n.
- BinCounts works with SparseArray objects.
Examples
open allclose allBasic Examples (3)
Scope (8)
Count squares mod 3 and 5 in two-dimensional unit bins:
Count random pairs in bins of width 0.25 in both dimensions:
Count multidimensional data in ranges:
Count binned data, ignoring values that are not real:
Count binned data of any precision:
Count the values of data in a time series:
Count data in a SparseArray:
Text
Wolfram Research (2007), BinCounts, Wolfram Language function, https://reference.wolfram.com/language/ref/BinCounts.html.
CMS
Wolfram Language. 2007. "BinCounts." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/BinCounts.html.
APA
Wolfram Language. (2007). BinCounts. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/BinCounts.html