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The danger of averages

For consultants and all those who solve problems for a living, we know that “average” is a bit of a dirty word. A misnomer.

“Average” is a four-letter word

1. Life is non-linear; Pareto everywhere

The Pareto principle is alive and well; yes, often a small # of inputs, drive a large # of output.  For example, in the United States 5% of the population drive 50% of healthcare cost. In a similar way, the top 1% of the Americans own 35%+ of the total wealth.  So when we talk about the “average patient” or the “average American”, what are we really saying?

2. Averages are approximate, like a US zip code

An average is a useful short-cut. A heuristic. Makes sure you are in right zip code, that’s about all.  Once you have a sense of the magnitude (100 vs. 1,000, vs. 10,000), then it’s time to dig into the details and understand why.

3. So many different “averages”

Median, mean, mode are all estimates of central tendency.  So which one are you talking about?

4. Benchmarks, who are you comparing against?

Benchmarks are tricky.  It’s only as useful as the sample size and composition. I remember comparing my high school grades to any/all friends who got Cs. “Yeah, mom, but I did better than Jimmy.  Jimmy got a C.” Trust me, this logic did not work on my mom, nor will it work on your investors, or your board.

5. Time frame matters, right?

No strategy is eternal. What might make NO sense over the next 12 months, could be exactly the tough decision, investments needed for the longer-term.  This is why pie charts are not favored by visual designers because they only show a snapshot.  46% of people think XYZ. . . that’s kinda useless without knowing what was % 1 year ago, 3 years ago, and 10 years ago. Given a choice, trending charts are better because they show history, momentum, and context.

6. Descend into the particulars

Malcolm Gladwell likes to say that you have to “descend into the particulars” to really understand a story. The next time you say “average” during a business presentation, be prepared to field some questions from the functional experts:

7. Definitions change

I remember looking at a S&P500 stock return chart recently, where it showed a 9% average return from (a long time ago until 2019). What’s not perfectly clear, and therefore potentially misleading, is that companies that go bankrupt (etc) are removed from the calculation. If we are going to calculate “average” return, we should factor in all the losers too, right? No, I did not have the patience to read the 41 page S&P500 indices inclusion methodology here.

So what? Why should we care?

It’s up to us.  When we read, listen, watch. . . we are forming opinions, judging, and making decisions. Watch out for the “average” when we think about our health, elections, economic security. It’s a great opportunity to ask the 2nd and 3rd question. Stay curious. Don’t satisfice for the easy answer. Be THAT person.

So what? How to combat these deadly 7 sins?

There is no magical armor (read: Fornite skin) that will protect you from the lurking statistician.  That said, a few smart moves:

What other advice do you have for dealing with “averages?”

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