Are Graphs Misleading?

Graphics images convey ideas. As such, they are not always precise. Hence, there are many ways in which graphics can be misleading. In order to avoid sending the wrong impression, you need to examine each image carefully. Look at both the detail and the overall perception that is conveyed by the graph. Consider an example where the CEO (Mr. Cruddock) has called a meeting to discuss sales for the different divisions. Kwilla-June Holmes (the head of marketing) has stated that the dog food division should be sold because its sales and profits are lower than those of the other divisions. The head of the dog food division (Vic) is also at the meeting.

Ms. Holmes:

And this graph shows the sales for the last three years for each of our product divisions. Notice that the dog food division is lower than the others.

   
Cruddock: Uh, I can't quite read that graph. Are those bars made up of little dogs?
   
Ms. Holmes: (smiling) Yes they are. The new graphics package let me put different objects in for the bars.
   
Cruddock: Hmmm. Well, is the top supposed to be at the dog's head or the tail? The tail is quite a bit higher...
   
Ms. Holmes: Ah. I guess I don't know.
   
Vic: Our actual sales numbers are slightly below the other divisions, but only by 2 to 5 percent. Because she used those tall thin candles for the bars in the wax division, it makes it look higher compared to the wider bar for the dog food division.
   
Ms. Holmes: Sure, sure. I'm not criticizing your department. It just has less sales. Let's look at the next graph. Here I created four graphs—one for each division. Each graph has sales for the last five years. One bar for each year. Oh, notice that all the bars in the dog food graph use the dog symbol and are the same width, so it should be easier to compare.
   
Cruddock:

Now, in this graph, it looks to me like the dog food division is doing better than the others. See how the sales for all five years are near the top. But in the cat food division they have two good years, but the other three are quite a bit lower. Maybe we should solve the cat food problems first.

   
Ms. Holmes: But. Oh, I see the problem. Look at the numbers on the left. See, all of the numbers for cat food are higher than those for dog food. These graphs are just designed to show what happened in each division over five years. Let's just look at one graph at a time. See how the dog food division hasn't changed much. Its sales have stayed flat.
   
Vic: Wait a second, that's not right. Here, I've got the actual sales numbers. We've increased sales by an average of 6 percent each of the last five years. Are you sure you have the correct numbers in your graphs?
   
Ms. Holmes: Oh yes. I took them out of your report to Mr. Cruddock. See, check the numbers on the Y-axis.
   
Vic: Well, something's wrong with your graph.
   
Ms. Holmes:

Maybe the next graph will make it clear. These four pie charts show the breakdown of expenses for the last two years for the wax products division and the dog food division. See this slice that I exploded out from the pie, it’s personnel expense. Notice that it takes a much bigger share of the pie in the dog food division, and it’s even larger in the next year. This increase in labor cost is expensive because the division is not really growing.

   
Vic: Now wait a minute. I thought we settled that. We have been growing, that's why we hired more people. And. . .
   
Cruddock: Hang on. Ms. Holmes, the slices for personnel in the dog food division appear to be smaller than the slices in the wax products division. Why do you say that the dog product's costs are higher?
   
Ms. Holmes: Oh that. I scaled the pie charts to match the overall sales of the division. Notice that the entire pie for the wax products division is larger than for the dog food. What I'm saying is you need to compare the percentage of the cost in each case, not the actual size of the pie. I wanted to be sure to include all of the information. It's a little confusing at first...
   
Vic: It's not confusing. It's just wrong. I don't know what you're trying to do, but I'm not putting up with these inane graphs. Just look at the actual numbers. Sure, we're not as large as the other divisions, but we're a whole lot more stable. We've had five straight years of growth.
   
Cruddock: Ms. Holmes, thank you for the presentation, but I'm inclined to agree with Vic. There might be some problems in the dog food division, but I don't really understand your graphs. Next time, be a little more careful when you create them.

Questions

  1. Do you think the graphs created by Ms. Holmes accurately portray the status of the dog food department?
  2. Do you think graphs with pictures are more interesting than simple bar graphs?
  3. Do you think changing the size of the pie charts is a good way to show how the total expenses are higher for the wax products division?
  4. Can you find graphs in newspapers and magazines that use pictures instead of bars to display the data? Are they more interesting? Are they misleading?
  5. Do you think Ms. Holmes deliberately made the graphs so they are misleading?
  6. Can you find a graphics package that enables you to draw graphs such as those created by Ms. Holmes?