A vaping-log range does not show which days need a different plan

Name the unit and the covered observations

A display might show smallest and largest daily counts, session counts, or personal ratings. Identify the unit, period, and number of known observations. If some days are missing, the minimum and maximum concern recorded days only. A low endpoint is not evidence that every unrecorded day was low, and a maximum is not a limit on what could happen later.

NIST defines range as the largest minus the smallest value and explains that it uses the endpoints without capturing spread near the center. We use that mathematical limitation, not a clinical variability threshold. No Vape’s public progress feature does not establish that the app calculates a range, so the worksheet here can remain separate from its actual interface.

US National Institute of Standards and Technology: Measures of Scale — NIST Engineering Statistics Handbook

Compare two invented five-day records

Consider fictional daily counts of one, one, one, one, and five. Now consider one, five, five, five, and five. Both have minimum one, maximum five, and range four. Their totals are nine and twenty-one. The shared endpoints do not make their middle values or totals identical. These invented counts illustrate summary limits, not observed vaping, targets, or safe allowances.

Even within one record, rearranging the dates leaves the range unchanged. A high day first and a high day last can imply different questions about the immediate routine while sharing the same endpoints. Keep the dated list if the decision is what happened around a particular day. Do not infer improving or worsening order from a minimum-to-maximum label that sorts values rather than time.

Choose the question that requires the detail

If you want the smallest-to-largest span among known entries, a labeled range answers that narrow question. If you want the latest day, a period total, or the setting of repeated difficulty, use those observations directly. Computing more summaries is optional; it does not replace the context necessary to select an ordinary action that fits your responsibilities.

For an original review note, write endpoints and range on one line, dates or contexts needing attention on another. Suppose the maximum occurred during an unusual overnight responsibility. That hypothetical context points to a coverage or support question, not a mathematical prescription to lower the maximum. If context was not recorded, leave it unknown instead of inventing a trigger from the number alone.

Compare periods without rewarding one statistic

A narrower range can arise because the low values rose, the high values fell, or both. Check the endpoints and actual values before calling it improvement. Also retain the number and coverage of observations: a short, selective period may simply have fewer opportunities to capture extremes. This is a descriptive limitation, not a reason to record extra vaping for completeness.

Your final sentence can say the known observations span these endpoints, with this range, while their order and relevant context are shown separately. A range cannot measure nicotine absorbed, establish causation, or certify stability of a quit attempt. If the summary adds no practical information, stop calculating it and retain a simpler note. The purpose is a usable review grounded in real entries, not collecting every statistic an attractive chart suggests.