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Mathematica > Core Language > List Manipulation > Math & Counting Operations on Lists > BinCounts >

Mathematica > Data Manipulation > Handling Arrays of Data > Math & Counting Operations on Lists > BinCounts >

Mathematica > Data Manipulation > Image Processing & Analysis > Basic Image Manipulation > Handling Arrays of Data > Math & Counting Operations on Lists > BinCounts >

BinCounts

counts the number of elements

whose values lie in successive integer bins.

BinCounts

counts the number of elements

whose values lie in successive bins of width dx.

BinCounts

counts the number of

in successive bins of width dx from

BinCounts

counts the number of

in the intervals

, ....

BinCounts

gives an array of counts where the first index corresponds to x bins, the second to y, and so on.

MORE INFORMATION

BinCounts drops elements whose values do not correspond to real numbers.

BinCounts 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.

BinCounts is equivalent to BinCounts.

In BinCounts, elements are counted in bin i when their values satisfy .

In the form BinCounts, the at each end can be Infinity and Infinity.

If the do not form an increasing sequence, they are automatically sorted by BinCounts.

In BinCounts, 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 yields an array of depth n.

BinCounts works with SparseArray objects.

EXAMPLES

CLOSE ALL

Basic Examples (3)

Count the number of elements in bins of width 1 from 0 to 10:

Count the number of elements in a sequence of ranges:

Count the number of elements in bins of a specified width:

Count the number of elements in bins of width 1 from 0 to 10:

In[1]:=

Out[1]=

Count the number of elements in a sequence of ranges:

In[1]:=

Out[1]=

Count the number of elements in bins of a specified width:

In[1]:=

Out[1]=

Scope (6)

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 data in any dimension:

Count binned data, ignoring values that are not real:

Count binned data of any precision:

Generalizations & Extensions (1)

Count data in a SparseArray:

Applications (1)

Visualize the density of two-dimensional data in bins:

Properties & Relations (1)

The results from BinCounts are equivalent to the lengths of BinLists:

Possible Issues (1)

Binning intervals are closed on the left: