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**UPPERQUARTILE**(//dataset//)

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| **UPPERQUARTILE** | Returns the median of the upper half of an ordered numeric data set. |
| //Dataset// | The label of a QUEUE with its first component field defined as a REAL. |

**UPPERQUARTILE **computes a value such that at most 75% of the set's values are less than the amount, and at most 25% of the set's values are greater than the amount. 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 upper quartile value is 6.5.

In general, the UPPERQUARTILE function is only meaningful when the number of elements in the data set is large (ie. greater than 20).

**See also:**

[[lowerquartile  lower quartile value of a set .htm|LOWERQUARTILE]]

[[percentile  pth percentile value of a set .htm|PERCENTILE]].

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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:**

**StatSetXY  QUEUE,PRE()**

**X           REAL**

**           END**

**UpperQuartileOfSet    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**

** UpperQuartileOfSet = UPPERQUARTILE(StatSetX)   !call UPPERQUARTILE**