Chapter FourPitfall 3: Mathematical Miscues
“Calculation never made a hero.”
—John Henry Newman
How We Calculate Data
There are heroes and there are goats. As the epigraph states, calculation may have “never made a hero” – a status more commonly attributed to women and men who pull off daring acts of bravado in spite of great odds – but failure to calculate properly has definitely made more than one goat.
Infamous examples abound, such as the disintegration of the Mars Climate Orbiter1 on September 23, 1999, due to atmospheric stresses resulting from a problematic trajectory that brought it too close to the red planet. The root cause of the faulty trajectory? A piece of software provided by Lockheed Martin calculated impulse from thruster firing in non-SI pound-force seconds while a second piece of software provided by NASA read that result, expecting it to be in Newton seconds per the specification. One pound-force is equivalent to 4.45 Newtons, so the calculation was off by quite a bit.
These cases remind us that to err truly is human. And also that it can be really easy to get the math wrong. It's a pitfall we fall into so often.
We make calculations any time we apply mathematical processes to our data. Some basic examples include:
- Summing quantities to various levels of aggregation, such as buckets of time – the amount of some quantity per week, or month, or year
- Dividing quantities in our data with other quantities in our data to produce rates or ratios
- Working with ...
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