A toothpaste brand claims their product will destroy more plaque than any product ever made.


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Setting
How to Spot a Misleading Graph
A toothpaste brand claims their product will destroy more plaque than any product ever made.
A politician tells you their plan will create the most jobs.
We're so used to hearing these kinds of exaggerations in advertising and politics,
that we might not even bat an eye.
But what about when the claim is accompanied by a graph?
After all, a graph isn't an opinion. It represents cold hard numbers, and who can argue with those?
Yet, as it turns out, there are plenty of ways graphs can mislead and outright manipulate.
Here are some things to look out for.
In this 1992 ad, Chevy claimed to make the most reliable trucks in America, using this graph.
Not only does it show that 98 % of all Chevy trucks sold in the last ten years are still on the road, but
it looks like they're twice as dependable as Toyota trucks.
That is, until you take a closer look at the numbers on the left,
and see that the figure for Toyota is about 96. 5 %.
The scale only goes between 95 and 100 %. If it went from to 100, it would look like this.
This is one of the most common ways graphs misrepresent data : by distorting the scale.
Zooming in on a small portion of the Y axis exaggerates a barely detectable difference
between the things being compared.
And it's especially misleading with bar graphs, since we assume the difference in the size of the bars
is proportional to the values.
But the scale can also be distorted along the X axis, usually in line graphs showing something changing over time.
This chart showing the rise in American unemployment from 2008 to 2010
manipulates the X axis in two ways.
First of all, the scale is inconsistent,
compressing the 15 month span after March 2009 to look shorter than the preceding 6 months.
Using more consistent data points gives a different picture, with job losses tapering off by the end of 2009.
And if you wonder why they were increasing in the first place,
the timeline starts immediately after the US 's biggest financial collapse since the Great Depression.
These techniques are known as " cherry picking ".
A time range can be carefully chosen to exclude the impact of a major event right outside it.
And picking specific data points can hide important changes in between.
Even when there's nothing wrong with the graph itself,
leaving out relevant data can give a misleading impression.
A toothpaste brand claims their product will destroy more plaque than any product ever made.
A
more
brand
made
will
any
their
ever
claims
than
product
toothpaste
destroy
plaque
A politician tells you their plan will create the most jobs.
A
you
the
will
most
their
tells
jobs
plan
create
politician
We're so used to hearing these kinds of exaggerations in advertising and politics,
and
in
We're
of
so
these
kinds
hearing
used to
advertising
politics
exaggerations
that we might not even bat an eye.
that
we
not
an
bat
eye
might
even
But what about when the claim is accompanied by a graph?
is
a
the
But
when
by
what about
claim
accompanied
graph
After all, a graph isn't an opinion. It represents cold hard numbers, and who can argue with those?
and
with
a
can
It
an
who
those
numbers
isn't
argue
After all
opinion
represents
graph
cold hard
Yet, as it turns out, there are plenty of ways graphs can mislead and outright manipulate.
and
are
can
of
it
out
there
as
ways
plenty
turns
Yet
manipulate
outright
graphs
mislead
Here are some things to look out for.
are
for
to
some
look
out
things
Here
In this 1992 ad, Chevy claimed to make the most reliable trucks in America, using this graph.
in
the
to
this
make
America
ad
In
most
using
trucks
reliable
claimed
graph
Chevy
Not only does it show that 98 % of all Chevy trucks sold in the last ten years are still on the road, but
are
in
the
that
all
of
it
ten
Not
does
but
last
show
still
only
years
trucks
sold
Chevy
on the road
it looks like they're twice as dependable as Toyota trucks.
like
it
looks
they're
as
twice
trucks
Toyota
dependable
That is, until you take a closer look at the numbers on the left,
is
at
you
a
the
on
left
look
take
That
numbers
until
closer
and see that the figure for Toyota is about 96. 5 %.
is
and
for
the
that
about
see
figure
Toyota
The scale only goes between 95 and 100 %. If it went from to 100, it would look like this.
and
like
The
to
between
it
this
look
went
from
would
goes
scale
If
only
This is one of the most common ways graphs misrepresent data : by distorting the scale.
is
This
the
of
one
scale
most
common
by
ways
data
graphs
misrepresent
distorting
Zooming in on a small portion of the Y axis exaggerates a barely detectable difference
a
in
the
on
of
small
Y
difference
barely
portion
axis
Zooming
exaggerates
detectable
between the things being compared.
the
between
things
being
compared
And it's especially misleading with bar graphs, since we assume the difference in the size of the bars
with
in
the
it's
we
of
bar
And
since
size
difference
bars
especially
assume
graphs
misleading
is proportional to the values.
is
the
to
values
proportional
But the scale can also be distorted along the X axis, usually in line graphs showing something changing over time.
be
in
the
can
But
time
X
scale
something
over
usually
along
also
line
changing
showing
distorted
axis
graphs
This chart showing the rise in American unemployment from 2008 to 2010
This
in
the
to
from
American
rise
showing
chart
unemployment
manipulates the X axis in two ways.
two
in
the
X
ways
manipulates
axis
First of all, the scale is inconsistent,
is
the
scale
First of all
inconsistent
compressing the 15 month span after March 2009 to look shorter than the preceding 6 months.
the
to
look
after
March
than
month
months
shorter
span
compressing
preceding
Using more consistent data points gives a different picture, with job losses tapering off by the end of 2009.
with
a
the
more
of
off
job
picture
different
by
end
Using
gives
losses
data
points
consistent
tapering
And if you wonder why they were increasing in the first place,
you
in
the
they
And
place
first
if
why
were
wonder
increasing
the timeline starts immediately after the US 's biggest financial collapse since the Great Depression.
the
's
after
starts
since
US
biggest
immediately
financial
timeline
Great Depression
collapse
These techniques are known as " cherry picking ".
are
These
as
known
techniques
cherry picking
A time range can be carefully chosen to exclude the impact of a major event right outside it.
A
be
a
the
to
can
of
right
it
time
outside
range
event
carefully
major
chosen
impact
exclude
And picking specific data points can hide important changes in between.
in
can
between
And
important
specific
hide
changes
picking
data
points
Even when there's nothing wrong with the graph itself,
with
the
when
there's
wrong
itself
nothing
Even
graph
leaving out relevant data can give a misleading impression.
a
can
out
give
leaving
data
impression
relevant
misleading
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