Two Descriptions Sitting Next to Each Other Have Not Compared Anything

You'll learnto write a comparison a reader can check: both groups in one sentence, a direction, values with units, every feature covered, and no absolute claim the overlap contradicts.

Fifteen teenagers and fifteen adults reported their daily screen time. Put both boxplots on one axis and the facts are all there — medians 5 hours and 3 hours, boxes 4 hours and 3 hours wide, one adult flagged out at 11. Write those facts down in two tidy paragraphs and you have earned nothing, because nothing in them is a comparison. A comparison is a single sentence holding both groups, with a direction between them, values with units, and an idea of by how much. This animation builds that sentence, extends it to all four features, and then presses on the two places it usually breaks: the absolute claim the overlapping ranges refuse to support, and the second sample whose boxplot is identical to the first while its distribution is nothing like it.

8 STEPS · 6 QUICK CHECKS · BOTH GROUPS IN ONE SENTENCE · SHAPE · OUTLIERS · CENTER · SPREAD · v1

medians 5 vs 3 hours · IQR 4 vs 3 · one shared axis

Before you start

What you're looking at

Daily screen time in hours for 15 teens and 15 adults, drawn as two boxplots on one shared axis so the two groups line up vertically.

The question

What has to be in a sentence before it counts as a comparison of these two distributions — and what do the plots refuse to support?

Watch for

The 2-hour bracket between the medians, the shaded overlap that kills the word "every", and the second sample whose boxplot is identical while its dotplot is not.

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