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Collecting data and frequencies

This page was translated from German with AI. It has not been checked by a native speaker. Original page in German

20 children answer the question “How do you get to school?”. You collect the data (die Daten) in a tally chart (die Strichliste) and learn the absolute and the relative frequency.
📄 Open worksheet (PDF, German)

The video

In the video we make a tally chart: four strokes, then one stroke across.

Subtitles are available in ten languages. Choose them at the bottom right of the video.

Contents of the video

  1. 0:00 Introduction
  2. 0:21 The tally chart
  3. 0:46 Absolute frequency
  4. 1:07 Relative frequency
  5. 1:38 Careful, mistake!
  6. 1:57 Try it yourself

The most important points

Tally chart and absolute frequency

For every answer you make one stroke. The number of strokes is the absolute frequency (die absolute Häufigkeit): bus \(8\), bike \(5\), on foot \(4\), car \(3\). Together: \(20\) children.

The fifth stroke goes across: this way you count quickly.
The fifth stroke goes across: this way you count quickly.

Relative frequency

relative frequency = absolute frequency : number of all children (die relative Häufigkeit). For the bus: \(8 : 20 = 0{,}4 = 40\,\%\). All relative frequencies together are \(100\,\%\).

The absolute frequencies together are as big as the number of all children.
The absolute frequencies together are as big as the number of all children.
The relative frequency in percent: 40\,\%, 25\,\%, 20\,\%, 15\,\%.
The relative frequency in percent: \(40\,\%\), \(25\,\%\), \(20\,\%\), \(15\,\%\).

The worksheet

Here you can see the worksheet for the video (in German). First it explains everything again, then there are practice tasks at three levels. You can also open it as a PDF and print it.

📄 Open worksheet (PDF, German)

The worksheet – Page 1
Page 1/4
The worksheet – Page 2
Page 2/4
The worksheet – Page 3
Page 3/4
Show the worksheet solutions
The worksheet – Page 4
Page 4/4

Try it yourself

Task

A class has 25 children: dog \(10\), cat \(5\), no pet \(10\). How big is the relative frequency for a) dog b) cat (in percent)?

Show solution

a) \(10 : 25 = 0{,}4 = 40\,\%\) b) \(5 : 25 = 0{,}2 = 20\,\%\)

Keep learning with a language model

Du bist meine Mathe-Lehrkraft. Ich lerne Deutsch als Zweitsprache. Unser Thema: Daten sammeln, Strichliste, absolute und relative Häufigkeit. Stelle mir nacheinander fünf kurze Aufgaben. Warte immer auf meine Antwort. Sag mir dann, ob sie richtig ist, und erkläre kurz, warum. Benutze einfache deutsche Sätze.

How this was made: The idea, structure and examples of the series are mine. I made them with the help of AI: a language model (LLM) built the slides of the video following my instructions. The voice was generated with Qwen3-TTS, modelled on my own voice.

The subtitles, the translations, the worksheet and this page were also made with the help of AI. The translations have not been checked by native speakers.

The videos, worksheets, texts and prompts in this series are licensed under CC BY 4.0: you may use, change and share them if you name the source.