Filemaker Pro 8.5 Educational Maintenance T3 TJ083LL/A User Manual

Product codes
TJ083LL/A
Page of 238
Chapter 2
  
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  Aggregate functions     29
Description
Returns the variance of a population represented by a series of non-blank values. The 
variance of a population distribution is a measure of how spread out the distribution is. 
Use this function on any of the following fields:
a repeating field (repeatingField).
a field in matching 
 specified by (table::field), whether or not 
these records appear in a portal.
several non-repeating fields in a 
 (field1;field2;field3...).
corresponding repetitions of repeating fields in a record 
(repeatingField1;repeatingField2;repeatingField3), if the result is 
returned in a repeating field with at least the same number of repeats.
several fields in the first matching record specified by 
(table::field1;table::field2;...). You can include fields from different 
 (table 1::field A;table 2::field B...).
Examples
 displays the related values 5, 6, 7, and 8 in Scores.
VarianceP(table::Scores) returns 
1.25
.
In the following examples:
Field1 contains two repetitions with values of 1 and 2.
Field2 contains four repetitions with values of 5, 6, 7, and 8.
Field3 contains four repetitions with values of 6, 0, 4, and 4.
Field4 contains one repetition with a value of 3.
VarianceP(Field4) results in an error since the variance of a single value is not 
defined.
VarianceP(Field1;Field2;Field3) returns 
4.66666666..., 6.22222222..., 2.25, 4
 
if the calculation is a repeating field.
Student example:
Two classes of students take an exam. Class 1 has scores of 70, 71, 70, 74, 75, 73, 72 
and Class 2 has scores of 55, 80, 75, 40, 65, 50, 95. The population variance for each 
class is:
Class 1: 
3.26530612...
Class 2: 
310.20408163...
The population variance for Class 1 is much lower than the population variance for Class 
2 because the scores for Class 1 are more tightly clustered.
VarianceP
x
1
2
x
2
2
… x
n
2
+
+
+
n
------------------------------------------
x
1
x
2
… x
n
+
+
+
n
-----------------------------------------
2
=