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Programming and Computer Science

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Quantitative Methods for Business

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Quantum Mechanics

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Semiconductor Reliability

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Special Relativity

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Statistical Mechanics

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String Theory

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Superconductivity

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Supersymmetry (SUSY) and Grand Unified Theory (GUT)

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The Standard Model

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Topology

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Units, Constants and Useful Formulas

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Last modified: January 26, 2018

Stem Plots, Histograms and Ogives --------------------------------- A: 5.8 5.9 6.1 6.2 6.8 7.3 7.4 7.6 7.7 8.1 8.1 8.2 8.8 9.2 B: 5.0 5.7 7.2 7.3 7.5 7.8 8.1 8.1 8.7 8.9 9.2 Leaf |Stem | Leaf --------------------- 0 7 | 5 | 8 9 | 6 | 1 2 8 2 3 5 8 | 7 | 3 4 6 7 1 1 7 9 | 8 | 1 1 2 8 2 | 9 | 2 Histograms and Ogives --------------------- Consider the integer data: 02, 07, 16, 21, 31, 03, 08, 17, 21, 55 03, 13, 18, 22, 55, 04, 14, 19, 25, 57 06, 15, 20, 29, 58 Range: 2 .... 58 Class Width: 6 classes. Class Width = Rounded up[(58 - 2)/# of classes] = Rounded up(56/6) = 10 Class Limits and Bpundaries Limits Boundaries Freq. Rel. Cum. Cum. Rel. Freq. Freq. Freq. ------ ----------- ---- ----- ----- --------- 02 - 11 1.5 - 11.5 5 0.20 5 0.20 12 - 21 11.5 - 21.5 5 0.20 10 0.40 22 - 31 21.5 - 31.5 6 0.24 16 0.64 32 - 41 31.5 - 41.5 1 0.04 17 0.68 42 - 51 41.5 - 51.5 0 0.00 17 0.68 52 - 61 51.5 - 61.5 8 0.32 25 1.00 The Ogive is the plot of Cumulative Relative Frequency (y) versus class boundaries (x). Stem and leaf plots preseve the actual data values while Histograms do not.