Describe a fictional survey, compare shares and distinguish percentage points from relative percentages. In dieser erfundenen Umfrage wurden hundert Lernende befragt. — One hundred learners were surveyed in this fictional survey.
The idea
Subtract two percentage shares to get percentage points: 35 − 25 = 10. For a relative increase, divide by the starting value: (35 − 25) ÷ 25 × 100 = 40%.
| Verkehrsmittel | Anteil |
|---|---|
| Bus | 35 % |
| Fahrrad | 25 % |
| zu Fuß | 20 % |
| Auto | 20 % |
- Bus
- 35 %
- Fahrrad
- 25 %
- zu Fuß
- 20 %
- Auto
- 20 %
Build the next part of this conversation with German numbers: count, read prices and avoid reversals
Use it in context
The table describes one fictional sample, not all learners. The bus has the largest share, but 35% is below half. Compared with 25%, 35% is ten percentage points higher or 40% higher relative to 25. With no second date or reasons recorded, do not claim a rising trend or explain why people chose the bus.
Examples
- In dieser erfundenen Umfrage wurden hundert Lernende befragt.One hundred learners were surveyed in this fictional survey.
- 35 Prozent fahren mit dem Bus.Thirty-five percent travel by bus.
- Der Busanteil ist zehn Prozentpunkte höher als der Fahrradanteil.The bus share is ten percentage points higher than the bicycle share.
- Zu Fuß und mit dem Auto kommen gleich viele.The same number walk as travel by car.
- Die Grafik zeigt keine Gründe für die Wahl.The chart gives no reasons for the choice.
- Ein Vergleich mit dem Vorjahr ist nicht möglich.A comparison with the previous year is not possible.
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Watch out
The largest group is not necessarily a majority. Here 35% is the largest share but below half; one survey alone gives no evidence of a change over time.
Try it yourself
Die größte Gruppe nutzt ___. (Bus / Fahrrad)
Show answer or example answer
Bus
Bus has 35%, the largest share in this table.
35 % minus 25 % sind zehn ___. (Prozentpunkte / Personen insgesamt)
Show answer or example answer
Prozentpunkte
Subtracting shares gives percentage points: 35 − 25 = 10.
Mehr als die Hälfte fahren Bus: richtig oder falsch?
Show answer or example answer
falsch
False: 35% is below 50%, even though it is the largest group.
35 ist wie viel Prozent mehr als 25?
Show answer or example answer
40
Use 25 as the base: (35 − 25) ÷ 25 × 100 = 40%.
Practice round
Answer three questions, then rebuild three German sentences. We keep your score.
Die größte Gruppe nutzt ___. (Bus / Fahrrad)
35 % minus 25 % sind zehn ___. (Prozentpunkte / Personen insgesamt)
Mehr als die Hälfte fahren Bus: richtig oder falsch?
35 ist wie viel Prozent mehr als 25?
Tap the words in the right order.
Tap the words in the right order.
Tap the words in the right order.
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Write four sentences about the displayed survey: name the sample, compare bus and bicycle, identify the equal shares and state one limit of the data.