The Lone Count

The lone count is this site's name for a number that has no denominator and no point of comparison, such as “1,200 accidents” or “won 30 times.”

Why the lone count matters

A lone count can be accurate and still mislead. “1,200 accidents” could be alarming or unremarkable, depending on how many trips it is out of and what the figure was the year before. Without a denominator or a baseline, the reader has to supply one from guesswork.

That is why charts and figures here are read denominator first, axis second. A count with no denominator sits on the same checklist as a truncated axis, because it can mislead without a single false number. This is the order of checking used on this site, not a claim about which trick turns up more often.

How the lone count is handled

Whenever this site quotes a count, it adds the denominator or the comparison that gives the count its meaning. When no denominator can be found in the sources, the number is labeled the lone count rather than given a total that no source supports.

The Ship of Theseus entry gives an example. In his Life of Theseus (23.1), Plutarch says the Athenians swapped old timbers for new over the years, yet he gives no total. Any claim that some number of planks were swapped would be a lone count, since Plutarch never says how many the ship had. That page draws a labeled ten-plank model rather than guess the real ship's total.

Three chart entries use it the same way. On the Simpson's paradox page, a count of women applying to the most selective departments is flagged as a lone count until their total is added. The Nightingale rose diagram page treats a month's deaths as a lone count and reads them against the army's estimated strength for that month. On Minard's map, the men back at the Niemen at the end are compared with the whole army that first crossed it.

Related terms

Two other terms are defined on this site: the decoy answer, used in puzzles, and the swap test, used in dilemmas. The About page explains how chart data is checked.