| Navigation: Templates > Guide to all Templates > Additional Libraries and Templates > Statistics Library >====== LOWERQUARTILE (lower quartile value of a set) ====== |    |
LOWERQUARTILE(dataset)
| LOWERQUARTILE | Returns the median of the lower half of an ordered numeric data set. |
| Dataset | The label of a QUEUE with its first component field defined as a REAL. |
LOWERQUARTILE computes a value such that at most 25% of a numeric set's values are less than the computed value, and at most 75% of the set's values are greater than the computed value. The function operates on the numeric set defined by all the entries in the first component of the designated QUEUE (dataset). For example, given the data set: [1,2,3,4,5,6,7,8] the lower quartile value is 2.5.
In general, the LOWERQUARTILE function is only meaningful when the number of elements in the data set is large (ie. greater than 20).
See also:
The passed data set does not have to be sorted. The function copies the passed set. The passed data set is unchanged.
Return DataType: REAL
Example:
StatSetX QUEUE,PRE()
X REAL
END
LowerQuartileOfSet REAL
CODE
FREE(StatSetX) !free the QUEUE
CLEAR(STADAT:RECORD) !clear the record buffer
STADAT:Id = STA:Id !prime the record buffer
STADAT:ItemNumber = 1
SET(STADAT:KeyIdItemNumber,STADAT:KeyIdItemNumber !position file pointer
LOOP !load the QUEUE
NEXT(StatisticsData) !read next record
IF ERRORCODE() OR STADAT:Id NOT = STA:Id
BREAK
ELSE
StatSetX:X = STADAT:X !load the QUEUE buffer
ADD(StatSetX) !add to the QUEUE
END
END
LowerQuartileOfSet = LOWERQUARTILE(StatSetX) !call LOWERQUARTILE