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PlanMaker VARA: Sample Variance with Text, Booleans and Grouped Data

Statistical Intermediate SoftMaker PlanMaker

Use VARA in PlanMaker with complete mixed-type worksheets, independently checked results, documented argument rules and practical variance examples.

Verification status: See the evidence and test scope described in this guide. How formula examples are checked

VARA calculates sample variance while treating text as zero, TRUE as 1 and FALSE as 0. Empty cells are ignored. That makes a text status such as pending a real zero-valued observation, rather than a missing measurement.

Use it when those conversions match the meaning of your data. If text and logical values should be excluded from a referenced dataset, compare the documented numeric-only function, VAR.S.

Availability and version history

  • Introduced: Documented by the PlanMaker 2010 manual; the original introduction release and date remain unknown.
  • Availability: Documented in PlanMaker 2026. This identifies a documented version, not a last-working-version endpoint.
  • Scope: The current entry belongs to the 2026/NX manual family; exact FreeOffice and individual mobile-build behavior is not established here.
  • Checked: October 14, 2026, against the official VARA reference and historical entry. The examples were independently calculated; no native PlanMaker test was performed.

Syntax and input rules

VARA(Number1, Number2 [, Number3 ...])

The PlanMaker 2026 reference prints two leading required arguments. Each can be a value, a cell range or an array. The examples below supply two or more arguments, including two disjoint ranges where appropriate; they do not assume an undocumented single-range shorthand.

Stored input Contribution to this calculation
Number The numeric value
TRUE 1
FALSE 0
Text such as pending 0, included in the count
Truly empty cell Excluded from the count

The calculation uses the sample denominator n − 1, where n is the number of included observations. The sum of squared deviations is divided by n − 1.

Reproduce a mixed-input worksheet

Create a blank sheet named MixedSpread, with room through column H and row 9. Enter these values exactly; the notation leave empty is an instruction, not text to type.

Row Column A: original input Column C: numeric reconstruction
1 Original Mapped
2 4 4
3 6 6
4 pending 0
5 =TRUE() 1
6 =FALSE() 0
7 Leave empty Leave empty

Do not type quoted words "TRUE" or "FALSE" in A5:A6. The formulas produce logical values; text spellings would be evaluated as zero instead.

Place these formulas in the indicated cells. Decimal results are rounded to ten places where needed; retain full cell precision for later calculations.

Cell Formula Expected result
F2 =VARA(A2:A4,A5:A7) 7.2
F3 =VARA(C2:C4,C5:C6) 7.2
F4 =VAR.S(A2,A3) 2
F5 =VARA(A2,A3,A7) 2
F6 =VARA(A2,A3,A6) 9.3333333333
F7 =VARA(A2,A3,A4) 9.3333333333
F8 =VARA(2,2,3,4,1) 1.3
F9 =STDEVA(A2:A4,A5:A7)^2 7.2

F2 and F3 agree because the original inputs map to 4, 6, 0, 1, 0. F5 excludes the empty cell; F6 includes a FALSE zero and F7 includes a text zero. These comparisons keep the numeric inputs fixed, making the different treatment visible. F8 reconstructs the vendor’s example.

Check the result from the mapped values

In H2 enter =AVERAGEA(C2:C6) for the mean 2.2. In H3 enter =COUNT(C2:C6) for 5 observations. Put =(C2-$H$2)^2 in D2 and fill through D6. The squared deviations are 3.24, 14.44, 4.84, 1.44 and 4.84. In H4 enter =SUM(D2:D6) for their total, 28.8.

Dividing by 5 − 1 = 4 gives sample variance 7.2. This reconstruction counts the two text/logical zeros but not A7. Merely applying a numeric format to pending does not make it a numeric measurement.

Advanced example: combine groups without losing between-group variation

Averaging group variances generally does not give the variance of their combined observations. On a separate GroupedReadings sheet, put 2, 4, 6 in A2:A4 and 8, 10, 12 in B2:B4.

Cell Formula Expected result
D2 =AVERAGEA(A2:A4) 4
D3 =AVERAGEA(B2:B4) 10
D4 =AVERAGEA(A2:A4,B2:B4) 7
D5 =VARA(A2,A3:A4) 4
D6 =VARA(B2,B3:B4) 4
D7 =(D5+D6)/2 4
D8 =VARA(A2:A4,B2:B4) 14
D9 =(3-1)*D5+(3-1)*D6 16
D10 =3*(D2-D4)^2+3*(D3-D4)^2 54
D11 =(D9+D10)/(6-1) 14

The within-group squared-deviation total is 16. The group means are each 3 units from the combined mean, adding 54 between groups. Thus the combined total is 70, and its sample variance is 70/5 = 14.

These formulas use group counts of 3 because each displayed group contains exactly three included numbers. For mixed-type groups, first determine each group’s included count after applying the text/Boolean rules. Empty cells do not add observations, while ordinary text contributes a zero observation.

Troubleshooting and interpretation

  • Unexpectedly different from VAR.S: Review stored text and Boolean values before changing formulas. Decide whether a missing measurement should really count as zero.
  • Sample or complete population: Choose the population definition before calculating. Use VARPA for the alternative denominator; changing the function does not make unrepresentative data representative.
  • Empty, erroneous or imported inputs: The short entry does not establish exact error tokens for all-empty or insufficient sets, error-valued cells, numeric-text imports or formula-produced empty strings. The examples use explicit numbers, ordinary text, logical values and truly empty cells.
  • Precision and portability: Display rounding is not an accuracy guarantee for extreme magnitudes. Recheck mixed-type handling and argument requirements when moving the formula to another spreadsheet product.
  • VAR.S for the documented numeric-only counterpart.
  • VARPA for population dispersion with text and logical values.
  • STDEVA to compare standard deviation and its square.
  • AVERAGEA for the mean using the same basic text/Boolean mapping.