Visual Basic (Declaration)  

Public Overloads Shared Function FrequencyTableOR( _ ByVal s As Series, _ ByVal boundaries() As Double _ ) As Series 
Visual Basic (Usage)  Copy Code 


C#  

public static Series FrequencyTableOR( Series s, double[] boundaries ) 
Parameters
 s
 A statistical series.
 boundaries
 A strictly increasing sequence of boundaries of the intervals over the real line in which the data sets point will be assigned.
{b_1, b_2, ..., b_n}
, now the
first term of the array returned which represents the frequency table, is the number of elements
from the data set within the interval (infinity, b_1)
, the second term of the array
returned is the number of elements from the data set within the interval [b_1, b_2)
,
and so on...
Example
Consider the set of boundaries { 1, 2, 3, 4, 5 }
, which divide the real
line into six subintervals. Now if we use the open right boundary convention then the
real line will be divided into the subintervals:
(infinity, 1), [1, 2), [2, 3), [3, 4), [4, 5), [5, infinity)
Note that, each point on the real line can be assigned to one of these subintervals
and therefore when assigning a data point to one of these intervals there will only
be one subinterval in which it belongs.
Therefore, if we consider the data set { 0.5, 1.4, 1.3, 2.0, 2.3, 4.5, 5.5}
,
if you assign this data set in accordance with the above the conventions then we will
have using Open Right Boundary (ORB) convention:
 Within the interval
(infinity, 1]
, we assign the data element0.5
; and hence the frequency of this interval is1
.  Within the interval
[1, 2)
, we assign the data element1.4, 1.3
; and hence the frequency of this interval (wrt ORB convention) is2
.  Within the interval
[2, 3)
, we assign the data element2.0, 2.3
; and hence the frequency of this interval (wrt ORB convention) is2
.  Within the interval
[3, 4)
, we assign no data elements, and hence the frequency of this interval (wrt ORB convention) is0
.  Within the interval
[4, 5)
, we assign the data element4.5
, and hence the frequency of this interval (wrt ORB convention) is1
.  Within the interval
[5, infinity)
, we assign the data element5.5
, and hence the frequency of this interval (wrt ORB convention) is1
.
Hence, in this case the series returned corresponding to the frequency table will be
{1, 2, 2, 0, 1, 1}
.