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Dispersion: Range

Dispersion: Range. Difference between minimum and maximum values. Dispersion: Mean Deviation. Mean difference from the mean Easy to understand Difficult to handle in modeling. Dispersion: Variance. Average of the squares of difference from the mean Second moment

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Dispersion: Range

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  1. Dispersion: Range • Difference between minimum and maximum values (c) 2007 IUPUI SPEA K300 (4392)

  2. Dispersion: Mean Deviation • Mean difference from the mean • Easy to understand • Difficult to handle in modeling (c) 2007 IUPUI SPEA K300 (4392)

  3. Dispersion: Variance • Average of the squares of difference from the mean • Second moment • Giving penalty for large deviations (c) 2007 IUPUI SPEA K300 (4392)

  4. Dispersion: Variance • Short-cut formulae (c) 2007 IUPUI SPEA K300 (4392)

  5. Dispersion: Standard Deviation • Square root of variance • Compare to absolute deviation (c) 2007 IUPUI SPEA K300 (4392)

  6. Dispersion: 3-21on p. 124 Sum: 210; mean: 35 = 210/6 (c) 2007 IUPUI SPEA K300 (4392)

  7. Dispersion: Computation1 • N=6; µ=35, Ʃ(y-µ)^2= 1750; Ʃy^2=9100 • Variance using the standard formula (c) 2007 IUPUI SPEA K300 (4392)

  8. Dispersion: Computation2 • N=6; µ=35, Ʃy^2=9100 • Variance using the short-cut (c) 2007 IUPUI SPEA K300 (4392)

  9. Dispersion: Computation3 • N=6; Ʃy=210; µ=35, Ʃy^2=9100 • Variance using the short-cut in textbook (c) 2007 IUPUI SPEA K300 (4392)

  10. Dispersion: Computation4 • σ^2=291.7, s^2=350, Ʃ(y-µ)^2= 1750 • Compute standard deviation (c) 2007 IUPUI SPEA K300 (4392)

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