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Apple iWork '09 User Manual

Page 299

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Chapter 10

Statistical Functions

299

Usage Notes

The VAR function finds the sample (unbiased) variance by dividing the sum of the

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squares of the deviations of the data points by one less than the number of values.
It is appropriate to use VAR when the specified values represent only a sample of a

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larger population. If the values you are analyzing represent the entire collection or
population, use the VARP function.
If you want to include text or Boolean values in the computation, use the VARA function.

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The square root of the variance returned by the VAR function is returned by the

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STDEV function.

Examples

Assume you have administered five tests to a group of students. You have arbitrarily selected five
students to represent the total population of students (note that this is an example only; this would
not likely be statistically valid). Using the sample data, you could use the VAR function to determine
which test had the widest dispersion of test scores.
The results of the VAR functions are approximately 520.00, 602.00, 90.30, 65.20, and 11.20. So test 2
had the highest dispersion, followed closely by test 1. The other three tests had low dispersion.

Test 1

Test 2

Test 3

Test 4

Test 5

Student 1

75

82

90

78

84

Student 2

100

90

95

88

90

Student 3

40

80

78

90

85

Student 4

80

35

95

98

92

Student 5

75

82

90

78

84

=VAR(B2:B6)

=VAR(C2:C6)

=VAR(D2:D6)

=VAR(E2:E6)

=VAR(F2:F6)

Related Topics
For related functions and additional information, see:

“STDEV” on page 290

“STDEVA” on page 291

“STDEVP” on page 293

“STDEVPA” on page 294

VARA” on page 300

VARP” on page 302

VARPA” on page 303

“Survey Results Example” on page 362