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Objectives

This article discusses the different types of data (qualitative and quantitative) and provides a step-by-step guide on how to construct stem and leaf diagrams. It also explains the concept of grouped frequency distributions and cumulative frequency polygons.

kathrynjacobs
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Objectives

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  1. Objectives • Recognise types of data • Construct stemandleaf diagrams • Understand groupedfrequency distributions • Construct cumulativefrequency polygons

  2. Types of Data Qualitative Quantitative Height Town of birth Age Eye colour

  3. Types of Data Continuous Discrete Time Cost in £’s Volume Number of children Height Shoe size Weight Number of pets

  4. 1 2 3 4 1 2 3 4 6 7 8 0 2 3 5 7 7 7 8 9 1 2 3 5 7 0 1 1 8 means 18 Stem and Leaf Diagrams 35 23 18 25 20 16 22 27 33 41 27 37 17 25 27 29 28 31 32 40 35 23 8 6 7 3 5 0 2 7 7 7 9 8 5 3 7 1 2 1 0

  5. Stem and Leaf Diagrams 5.2 6.6 4.3 8.3 5.1 7.5 8.6 7.1 7.8 2.2 6.6 5.8 3.5 7.5 6.1 3.8 2.5 2.7 8.8 4.8

  6. Grouped frequency A sample of the red cell count per 1mg of blood from visits made to the doctor by 150 patients, assume data is continuous

  7. lower class boundary upper class boundary 5 9 4.5 9.5 lower class limit upper class limit class width Class 5 - 9 7 midpoint

  8. 175 150 125 100 75 50 25 4.5 9.5 14.5 19.5 24.5 29.5 34.5

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