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Home > Data
Modeling > Introducing
Distribution |
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Introducing
Distribution |
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Measuring the Height of the School's Flagpole with an Inclinometer |
Students'
Ways of Thinking |
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Students
responses
will
likely
be highly
variable.
Some
students
may simply
order
measurements
as a
list,
without
attending
to relations
other
than
order
(e.g.,
they
may ignore
gaps
or holes
in the
data,
if any
exist).
Other
students
may order
the measurements
as a
case
value
plot,
meaning
that
each
case
is represented
as a
length
and then
ordered.
Best
guesses
about
the real
height
are seen
as a
plateau,
indicating
a cluster
of nearly
identical
measurements.
(See
Figure
1).
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Other
students may focus
on various strategies
for creating intervals
or bins of data.
What is of interest
is the consequence
of choice of bin
size. Decades are
usually popular
but they may obscure
the otherwise visible
symmetry of the
distribution (because
in the extreme,
with only one bin,
the data are simply
represented as a
tower). Figure
2 represents measurements
of flagpoles in
one class with a
bin size of 10.
Figure
3 displays
the change in the
shape of the data
when a different
interval is selected
(5, in this case).
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Last Updated:
April 13, 2006
All Rights reserved. |
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