Univariate Statistics - MATLAB Recipes for Earth Sciences - page 64

and maximum values in corg . h e width of the bins ewth , as dei ned by the
bin edges, is equal to vwth . Binning can be performed using a for loop in
combination with an if-then construct. Values in corg that fall exactly on
an edge e are herein assigned to the higher bin. Values falling exactly on the
edge of the last bin are assigned to the last bin.

Gallery
3.1

for i = 1 : nbin
if i < nbin
corgb = corg(emin+(i-1)*ewth<=corg & emin+i*ewth>corg);
n(i) = length(corgb);
else
corgb = corg(emin+(i-1)*ewth<=corg & emin+i*ewth>=corg);
n(i) = length(corgb);
end
end

h e result of the binning is stored in the frequency distribution n , which we
can display with

n

which yields

n =
2 2 10 7 14 9 12 4

Instead of using the above script we can also use the functions histcount and
histogram to determine the bin centers, edges and counts. Typing

histogram(corg)

displays a histogram with six classes, using an automatic binning algorithm.
h e algorithm returns bins with a uniform width, chosen to cover the range
of elements in corg and to reveal the underlying shape of the distribution.
h e MATLAB Help lists and explains various such methods for automatic
binning. h e function histogram also returns a structure array h

h = histogram(corg);

which yields

h =
Histogram with properties:
Data: [60x1 double]
Values: [2 6 13 20 15 4]
NumBins: 6
BinEdges: [9 10 11 12 13 14 15]
BinWidth: 1
BinLimits: [9 15]
Normalization: 'count'