<s>
The	O
grand	B-General_Concept
mean	I-General_Concept
or	O
pooled	B-General_Concept
mean	I-General_Concept
is	O
the	O
average	O
of	O
the	O
means	O
of	O
several	O
subsamples	O
,	O
as	O
long	O
as	O
the	O
subsamples	O
have	O
the	O
same	O
number	O
of	O
data	O
points	O
.	O
</s>
<s>
The	O
mean	O
of	O
these	O
subsample	O
means	O
is	O
then	O
the	O
grand	B-General_Concept
mean	I-General_Concept
.	O
</s>
<s>
Therefore	O
,	O
the	O
grand	B-General_Concept
mean	I-General_Concept
of	O
all	O
numbers	O
=	O
(	O
6+8+5	O
)	O
/3	O
=	O
6.333	O
.	O
</s>
<s>
Next	O
,	O
one	O
calculates	O
the	O
means	O
of	O
height	O
for	O
each	O
state	O
,	O
and	O
then	O
the	O
grand	B-General_Concept
mean	I-General_Concept
(	O
the	O
mean	O
of	O
the	O
state	O
means	O
)	O
as	O
well	O
as	O
the	O
corresponding	O
standard	B-General_Concept
deviation	I-General_Concept
of	O
the	O
state	O
means	O
.	O
</s>
<s>
Now	O
,	O
one	O
has	O
the	O
necessary	O
information	O
for	O
a	O
preliminary	O
determination	O
of	O
which	O
states	O
have	O
abnormally	O
tall	O
or	O
short	O
men	O
by	O
comparing	O
the	O
means	O
of	O
each	O
state	O
to	O
the	O
grand	B-General_Concept
mean	I-General_Concept
±	O
some	O
multiple	O
of	O
the	O
standard	B-General_Concept
deviation	I-General_Concept
.	O
</s>
<s>
In	O
ANOVA	B-General_Concept
,	O
there	O
is	O
a	O
similar	O
usage	O
of	O
grand	B-General_Concept
mean	I-General_Concept
to	O
calculate	O
sum	B-Algorithm
of	I-Algorithm
squares	I-Algorithm
(	O
SSQ	O
)	O
,	O
a	O
measurement	O
of	O
variation	O
.	O
</s>
<s>
The	O
term	O
grand	B-General_Concept
mean	I-General_Concept
is	O
used	O
for	O
two	O
different	O
concepts	O
that	O
should	O
not	O
be	O
confused	O
,	O
namely	O
,	O
the	O
overall	O
mean	O
and	O
the	O
mean	O
of	O
means	O
.	O
</s>
