Average or median? Describe a vaping log without hiding an unusual day

Check what each number summarizes

A daily summary needs daily observations under a consistent counting rule. Five entries for individual sessions do not become five complete days because you calculate their average. Likewise, a missing day cannot be silently inserted as zero. State the unit, dates and known coverage before doing arithmetic.

NIST’s statistical handbook distinguishes mean and median as measures of location and explains why they may differ for uneven distributions. That is a mathematical reference. It does not recommend a vaping target or establish which tracker is best for you. The small record below is invented to make the distinction visible.

National Institute of Standards and Technology: NIST/SEMATECH e-Handbook: Measures of Location

Calculate both on the same fictional record

Suppose a complete five-day record contains these hypothetical daily counts: 2, 2, 3, 3 and 20. The total is 30, so the mean is 6 per recorded day. After sorting, the middle value is 3, so the median is 3. Neither calculation says that exactly 6 or exactly 3 happened on every day.

The median describes the middle of these five values; it does not remove the day with 20 from the history. The mean incorporates that day’s amount but does not identify the setting in which it occurred. Keep the row with 20 available if the practical question is why that particular day needs a different plan. These numbers are not safe allowances or sample recommendations.

Choose a question before choosing a summary

If you want the total observed across the period, use the actual total with its coverage. If you want to describe a middle day in this small record, a labeled median can answer that narrower question. If you want to prepare for a repeated situation, a context note may be more relevant than either summary.

A useful sentence could be: “These five recorded days total 30; the median daily count is 3; one day has 20 and needs its own context.” That is more transparent than “my typical day is 3” while withholding the rest. Do not calculate every available statistic unless it changes a decision you need to make.

Keep comparisons honest

For a later period, use the same unit and explain gaps or changes in how you recorded. A different median does not prove that the maximum, total and every individual day also changed. Comparing a mean from one period with a median from another asks unlike questions, even if the two numbers fit neatly on a chart.

No Vape’s public site verifies puff and progress tracking, but does not establish that your version calculates either statistic. You can do this reading exercise separately without inventing app controls. A behavior summary cannot measure nicotine absorbed or establish a health outcome. For individual care questions, describe the observations and their limits to an appropriate professional.

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