<s>
In	O
statistics	O
,	O
the	O
midhinge	B-General_Concept
is	O
the	O
average	O
of	O
the	O
first	O
and	O
third	O
quartiles	O
and	O
is	O
thus	O
a	O
measure	O
of	O
location	O
.	O
</s>
<s>
The	O
midhinge	B-General_Concept
is	O
related	O
to	O
the	O
interquartile	B-General_Concept
range	I-General_Concept
(	O
IQR	B-General_Concept
)	O
,	O
the	O
difference	O
of	O
the	O
third	O
and	O
first	O
quartiles	O
(	O
i.e.	O
</s>
<s>
The	O
two	O
are	O
complementary	O
in	O
sense	O
that	O
if	O
one	O
knows	O
the	O
midhinge	B-General_Concept
and	O
the	O
IQR	B-General_Concept
,	O
one	O
can	O
find	O
the	O
first	O
and	O
third	O
quartiles	O
.	O
</s>
<s>
The	O
use	O
of	O
the	O
term	O
"	O
hinge	O
"	O
for	O
the	O
lower	O
or	O
upper	O
quartiles	O
derives	O
from	O
John	O
Tukey	O
's	O
work	O
on	O
exploratory	B-General_Concept
data	I-General_Concept
analysis	I-General_Concept
in	O
the	O
late	O
1970s	O
,	O
and	O
"	O
midhinge	B-General_Concept
"	O
is	O
a	O
fairly	O
modern	O
term	O
dating	O
from	O
around	O
that	O
time	O
.	O
</s>
<s>
The	O
midhinge	B-General_Concept
is	O
slightly	O
simpler	O
to	O
calculate	O
than	O
the	O
trimean	O
(	O
)	O
,	O
which	O
originated	O
in	O
the	O
same	O
context	O
and	O
equals	O
the	O
average	O
of	O
the	O
median	O
(	O
)	O
and	O
the	O
midhinge	B-General_Concept
.	O
</s>
