Data Types and Frequency Distribution Analysis

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

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

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 number of visits made to the doctor by 150 patients

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