6-31
k Determining Sample Standard Deviation, Unbiased Variance,
Population Standard Deviation, and Population Variance from List Data
You can use functions to determine sample standard deviation, unbiased variance, population
standard deviation, and population variance for specified list data. This calculation is
performed in the Run-Matrix mode. You can perform calculations using data you saved to a
list (List 1 to List 26) with the Statistics mode List Editor or list data you input directly on the
Run-Matrix mode screen.
Syntax StdDev(List
n [,List m]) StdDev_σ(List n [,List m])
Variance(List
n [,List m]) Variance_σ
2
(List n [,List m])
List
n........Sample data
List
m .......Frequency data
Example To store the
x -data below in List 1, the frequency values in List 2, and
determine sample standard deviation, unbiased variance, population
standard deviation, and population variance
x
60 70 80 90
Frequency 3 5 4 1
1. From the Main Menu, enter the Statistics mode.
2. Use the List Editor to store the above data.
3. From the Main Menu, enter the Run-Matrix mode.
4. Press the keys as follows.
K5 (STAT)4 (StdDev) 1(S)JJ
1(LIST) 1(List) b,1(List) c)w
J5(STAT)5 (Var)1(S
2
)J J
1(LIST) 1(List) b,1(List) c)w
K5(STAT)4(StdDev)2(σ)JJ
1(LIST)1(List)b,1(List)c)w
K5(STAT)5(Var)2(σ
2
)JJ
1(LIST)1(List)b,1(List)c)w
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