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HISTOGRAMS

HISTOGRAMS. Representing Data OCR Module 9. Why use a Histogram. When there is a lot of data When data is Continuous a mass, height, volume, time etc Presented in a Grouped Frequency Distribution usually in groups or classes that are UNEQUAL. NO GAPS between Bars. Continuous data.

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HISTOGRAMS

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  1. HISTOGRAMS Representing Data OCR Module 9

  2. Why use a Histogram • When there is a lot of data • When data is • Continuous • a mass, height, volume, time etc • Presented in a Grouped Frequency Distribution • usually in groups or classes that are UNEQUAL

  3. NO GAPS between Bars Continuous data

  4. Bars are different in width Determined by Grouped Frequency Distribution

  5. So we use FREQUENCY DENSITY AREA is proportional to FREQUENCY = Frequency Class width NOT height, because of UNEQUAL classes!

  6. Grouped Frequency Distribution Classes

  7. Drawing • Sensible Scales • Bases correctly aligned • Plot the Class Boundaries • Heights correct • Frequency Density

  8. Frequency Densities Class width 40 10 10 30 20 2.0 1.5 2.5 3.0 1.5

  9. 3.0 2.0 1.0 0 20 40 60 80 100 120 Frequency = Width x Height Freq Dens Frequency = 40 x 2.0 = 80 Speed (kph)

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