- In statistics, the
midhinge (MH) is the
average of the
first and
third quartiles and is thus a
measure of location. Equivalently, it is the 25% trimmed...
-
income rates. For a
symmetric distribution (where the
median equals the
midhinge, the
average of the
first and
third quartiles), half the IQR
equals the...
- {Q_{1}+2Q_{2}+Q_{3}}{4}}} This is
equivalent to the
average of the
median and the
midhinge: T M = 1 2 ( Q 2 + Q 1 + Q 3 2 ) {\displaystyle TM={\frac {1}{2}}\left(Q_{2}+{\frac...
- robust,
having a
breakdown point of n%. In the
middle of
these is the
midhinge,
which is the 25% midsummary. The
median can be
interpreted as the fully...
-
visually estimate various L-estimators,
notably the
interquartile range,
midhinge, range, mid-range, and trimean. Box
plots can be
drawn either horizontally...
-
values found by this
method are also
known as "Tukey's hinges"; see also
midhinge. Use the
median to
divide the
ordered data set into two halves. The median...
- mid-range, the range, the
midsummary (trimmed mid-range,
including the
midhinge), and the
trimmed range (including the
interquartile range and interdecile...
- of the
interquartile range (IQR) to the
average of the
quartiles (the
midhinge): Q C D = 1 2 ( Q 3 − Q 1 ) Q 3 + Q 1 2 = Q 3 − Q 1 Q 3 + Q 1 . {\displaystyle...
- 65% efficiency.
Analogous measures of
location are
given by the median,
midhinge, and
trimean (or
statistics based on
nearby points).
Interquartile range...
-
Midrange the
arithmetic mean of the
maximum and
minimum values of a data set.
Midhinge the
arithmetic mean of the
first and
third quartiles. Quasi-arithmetic...
