How to rank based on sum and break tie with standard deviation?

gpks00

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Joined
Jul 22, 2015
Messages
1
Can anyone help me with how to break a ranking tie using standard deviation?
10 people rank their choices from 1-10 (10 being best), so I started with a plain basic rank based on the sum of all 10 people's choices. Highest overall number represents the groups most favorite choice.

I would like to break ties using the standard deviation function (or variance is okay too), where... when there is a tie.. a lower SD or Var means that the group agrees with one another more closely than with a higher SD/Var.
So there is a general consensus of which choice is best, also by saying this group of 10 is only a sample of a larger population.

Thank you
 

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I probably haven't deciphered your meaning accurately, but here goes. When you wish to break ties in a ranking using more variables, you can often add the variables together and rank the results. Sometimes, you'll have to multiply one variable by ten or divide by ten in order to make it all work.

For your data, I assume it would look like this, which includes a helper column I called "Grade":


Excel 2012
ABCD
1Choicest.dev.GradeRANK
290.0058.9954
360.0905.91010
430.1002.90016
5100.0409.9601
610.0900.91020
770.0806.9209
8100.0419.9592
910.0100.99019
1090.0108.9905
11100.0509.9503
1220.0801.92017
1330.0802.92014
1480.0407.9608
1540.0903.91013
1620.1001.90018
1750.0504.95011
1830.0902.91015
1990.0208.9806
2010.0100.09821
2150.0704.93012
2290.0408.9607
Sheet8
Cell Formulas
RangeFormula
C2=A2-B2
C3=A3-B3
C4=A4-B4
C5=A5-B5
C6=A6-B6
C7=A7-B7
C8=A8-B8
C9=A9-B9
C10=A10-B10
C11=A11-B11
C12=A12-B12
C13=A13-B13
C14=A14-B14
C15=A15-B15
C16=A16-B16
C17=A17-B17
C18=A18-B18
C19=A19-B19
C21=A21-B21
C22=A22-B22
D2=RANK.EQ(C2,$C$2:$C$22)
D3=RANK.EQ(C3,$C$2:$C$22)
D4=RANK.EQ(C4,$C$2:$C$22)
D5=RANK.EQ(C5,$C$2:$C$22)
D6=RANK.EQ(C6,$C$2:$C$22)
D7=RANK.EQ(C7,$C$2:$C$22)
D8=RANK.EQ(C8,$C$2:$C$22)
D9=RANK.EQ(C9,$C$2:$C$22)
D10=RANK.EQ(C10,$C$2:$C$22)
D11=RANK.EQ(C11,$C$2:$C$22)
D12=RANK.EQ(C12,$C$2:$C$22)
D13=RANK.EQ(C13,$C$2:$C$22)
D14=RANK.EQ(C14,$C$2:$C$22)
D15=RANK.EQ(C15,$C$2:$C$22)
D16=RANK.EQ(C16,$C$2:$C$22)
D17=RANK.EQ(C17,$C$2:$C$22)
D18=RANK.EQ(C18,$C$2:$C$22)
D19=RANK.EQ(C19,$C$2:$C$22)
D20=RANK.EQ(C20,$C$2:$C$22)
D21=RANK.EQ(C21,$C$2:$C$22)
D22=RANK.EQ(C22,$C$2:$C$22)
 
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