Probability and Statistics > Descriptive Statistics > Misleading Graphs Real Life Examples

## Misleading Graphs in Real Life: Overview

Misleading graphs are sometimes deliberately misleading and sometimes it’s just a case of people not understanding the data behind the graph they create. The “classic” types of misleading graphs include cases where:

- The Vertical scale is too big or too small, or skips numbers, or doesn’t start at zero.
- The graph isn’t labeled properly.
- Data is left out.

But some real life misleading graphs go above and beyond the classic types. Some are intended to mislead, others are intended to shock. And in some cases, well-meaning individuals just got it all plain wrong. These are some of my favorite recent-history misleading graphs from real life.

## Misleading Graphs: The Missing Baseline.

### The Times leaves the rest behind…or does it?

You might be thinking that the graph on the right shows The Times makes double the sales of The Daily Telegraph. But take a closer look at the scale and you’ll see although The Times does make more sales, it’s only beating the competition by about 10%.

### Fox News Misleading Graphs.

Fox News showed this chart of what would happen if the Bush tax cuts expired. Disastrous, right? Again, check the scale (it starts at 34). All is not what it seems.

Not to keep on bashing on Fox News, but their name came up time and time again when searching for misleading graphs from real life. Here’s another, designed to show that after a small drop in unemployment it went up and up in the Obama administration.

Note that the value for November (8.6) has not been plotted correctly. It’s placed at the 9.0 position. That’s not the only problem with this graph. It’s been plotted to look like there’s a steep incline when in fact, the overall employment trend is pretty stable at around 9%.

Here’s what the graph *should* look like if it had been plotted correctly. See the difference?

### Those d%$n Liberals!

A final example of this type of misleading graph. Terry Schiavo was removed from life support after a years-long court battle. CNN used a graph similar to the one below to show who agreed with the decision to remove the feeding tube.

A fist look at this graph makes it look like three times as many democrats supported the decision. But on closer inspection, note the scale on the vertical axis. Only slightly more democrats supported than republicans (62% vs. 54%).

What is the problem with these particular misleading graphs from real life? In general, graphs should show a baseline. A baseline is zero on the vertical scale. Graphs that have a missing baseline and start at some arbitrary number (34 on the Fox News image) tend to be very misleading. When you look at a graph and try to figure out if it’s a true representation of what’s really going on, check that baseline.

## Misleading Graphs: Incomplete Data.

If you really want to make a shocking statement, make sure you only include part of the data. Take this first example of a misleading graph that proves global warming is real.

### Global Warming out of Control!

What’s wrong with this picture?

*It only shows the first half of the year*, so of course temperatures are rising dramatically.

### Deficit an Ongoing Problem!

Here’s another example of incomplete data. This graph makes it look like the deficit has always been high, because the graph starts in 2009. This might lead you to think that the deficit has been an ongoing problem. It hasn’t: The deficit was just 1.2 percent of GDP in 2007, when the housing market collapsed.

### Our Cream Beats the Itch!

I’m not sure what to say about this graph for the anti-itch cream, Lanacane.

It looks like lanacane works better than regular anti-itch cream, right? Note the lack of labels. What is this graph actually telling us? Pretty much nothing at all other than their statisticians are very good at making not-very-good graphs.

## Misleading Graphs: Just Reading it Plain Wrong

### Global Warming Stopped!

Here’s another global warming picture, from the British tabloid the Mail on Sunday. The newspaper used it to claim that *global warming had stopped*.

When we read newspapers, we often think the people writing the articles are experts. In fact, the journalist who wrote the article to go with this picture (David Rose) just didn’t understand what the graph was telling him. He made two errors:

- The graph is showing
**air**temperatures. This is a very poor measure of global warming as much of the heat ends up in the oceans. - This is a very short term graph. You can’t make good predictions based on a little data. If you win the first scratch-off lottery ticket you buy, it doesn’t mean that your chances of winning are 100%. You would have to buy (and scratch-off) dozens or even hundreds of tickets to truly see a trend. A better graph for global warming would show the trend since the industrial revolution.

### College not Worth Your Time and Money!

How about this chart that “proves” that college education just isn’t worth the money any more?

The scale on this chart is fine. What *Business Insider* deduced from the chart is not. Have we “We have lost the ubiquitous positive financial return on education”? No. David Blake read the chart without taking into account a key fact that *wasn’t* on the chart: the cost of *not* going to college has diminished *even more*. Than means, your prospects as a high school graduate are a lot worse than your prospects as a college graduate.

Another key piece of information is on the chart itself. Note the average yearly income a college grad can expect is about $45,000 in 2010. That’s **per year. **Over an average working lifetime (say, 43 years assuming retirement at age 65), that gives you an income of $45,000 * 43 = $1,935,000. Subtract that expensive college education ($95,000) and your net earnings are $1,840,000. Compare that to your average high school grad. They can expect to earn $1,300,000 over their lifetime (Source: The U.S. Department of Education). That’s quite a difference!

The moral of the tale? Be cautious when trying to read a chart about a topic you aren’t an expert in!

### Wii is Floundering!

Everyone can be an expert in gaming systems, right? After all, what’s there to know? How to put a disk into the console? How to hold a controller? How to fire a weapon? This graph from 2009 showed how a dismal 6% of Wii owners actually used their Wii:

Lee Evans, in his Downwards Compatible article “Adventures in Misleading Graphs” put it best:

Take a look at the top number on the graph. Only 11% of 360 owners actively use their 360 and only 10% of PS3 owners actively use their PS3. Now, let’s do a little math.

There are 50 million Wii owners. 6% of that number is 3 million.

There are 30 million 360 owners. 11% of that number is 3.3 million.

There are 20 million PS3 owners. 10% of that number is 2 million.

In other words, almost the same amount across the board use their system regularly. The gap in percentages is not that great, but the graph (and the way people are reading it) makes it look like “OMG A HUEGE GAP!”

## Misleading Graphs: Numbers that Don’t add up

### Palin for Pres!

Apparently 70% of people backed Palin in the 2012 presidential run. But wait! The Fox News statisticians have been at it again. A pie chart *should* add up to 100%. Not this one:

## Misleading Graphs: Two Y-Axes

### Job and health insurance losses accelerating!

At first glance, it looks clear that statement is true. But take a look at the graph and you’ll see

**two**y-axes. This special type of data manipulation goes beyond the classic methods to deceive. What’s actually going on here (skipping the math part) is that if you extract the data from this confuddling mess of a graph you get:

- Lack of insurance is increasing very slightly (from ~15 percent to ~16 percent).
- Unemployment increases more rapidly (from ~4.5 percent to 7.5 percent).

## And the Winner in the Misleading Graphs category is…

The award for in the misleading graphs in real life category goes to (drum roll please…) Fox News for this gem:

What’s the real data behind this shocking graph? Are there really more people on welfare than those who have full time jobs? As Media Matters points out:

“Fox’s 108.6 million figure for the number of “people on welfare” comes from a Census Bureau’s account…of participation in means-tested programs, which include “anyone residing in a household in which one or more people received benefits” in the fourth quarter of 2011, thus

including individuals who did not themselves receive government benefits. On the other hand, the “people with a full time job” figure Fox used included only individuals who worked, not individuals residing in a household where at least one person works.”

In other words, if you live with your Mom, Dad, brother Joe and cousin Sam, and Sam was (briefly) on some kind of welfare program, that counted against you and everyone in your household.

On the graph about the unemployment chart the y-axis it was only going up buy 0.5, so it looked like it was increasing by a lot but it was staying about the same. On the graph about global warming the graph only showed the first half of the month, so of course its going to get a lot warmer

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I never really thought of statistics like that….I have to admit the Fox News one with Palin for Pres was ridiculous though! It added up to 193%!

These misleading graphs stink like poop!

Thank you for educating me and helping me understand about misleading graphs in the media, it is very knowledgeable to know about all these scams that the media do and so it is hard to not get fooled by them. Thank you for making it easier to the truth from that nasty stinky pooping media.

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This really helped me

Woow, thank you for showing how Fox news actually tries to manipulate our minds by carefully preparing the false graphs.

Lol. Fox news is so full of crap!

So like does the first graph mean we get some chocolate or some lollies?

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not even surprised about fox news tbh. for more fox ridiculousness – http://www.reallyfoxnews.tumblr.com

In ‘Misleading Graphs: Two Y-Axes, Job and health insurance losses accelerating!’ You claim that:

Lack of insurance is increasing very slightly (from ~15 percent to ~16 percent) . 1%

Unemployment increases more rapidly (from ~4.5 percent to 7.5 percent). 3 %

but from data I saw the change in:

lack of insurance (46M-49M) = 6%

unemployment is right 3 %

so it is actually the other way around that lack of insurance is rising more. Anyway I am not a fan of two y axes its misleading imho, there should be only one axe with one scale(%)

Sorry now I see that 100 % is actually US population so it could be 1% anyway the axis y should be only one with % imho

No problem. I appreciate you taking the time to comment :)

This was very interesting, which i did it sooner.

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