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Micromeritics Elzone II 5390 Operator's Manual page 329

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Elzone II 5390 Confirm
Mean
Standard deviation
Coefficient of variation
Standard deviation of transformed size
Skewness
Kurtosis (coefficient of excess)
+ [n]  size
– [n]  size
Variance
Example
This example provides the calculations for Harmonic Number Mean.
Harmonic:
Number (Distribution):
Mean (Statistic):
Substituting equation (8) into equation (3),
Using equations (1) and (7),
Thus, the Harmonic Number Mean,
539-42822-01 (Rev A) - Nov 2017
Table B-3. Statistics
Statistic
from Table B-1
from Table B-1
from Table B-3
 F
f d
n i 
i
--------------------------- -
x
=
f
F
n i 
--------------- -
x
=
F
-------- -
d
Formula
x
x/
f
s
k
–1
f
(x
+ n
f
f
–1
f
(x
– n
f
f
2
1
f x  
-- -
=
x
1
1 –
x  
-- -
f
=
x
 = n
 F
F
= incremental number
,i
n,i
distribution
x
1 –
 
x
=
f
x
f
F
n i 
-------- -
d
i
---------------- -
=
F
n i 
F
n i 
n i 
i
Appendix B
(7)
(8)
1
--- -
=
x
f
B-3

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