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The Standard Deviation as a Ruler

The Standard Deviation as a Ruler. Ch. 6. London Weather 9/15-9/17. Who: Date and time What: Temperature ( C) Why: N/A Where: original data gathered in Orpington , SE London, data pulled from http://weather.lgfl.org.uk When: 15/9/13 to 17/9/13 How: data gathered by observation.

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The Standard Deviation as a Ruler

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  1. The Standard Deviation as a Ruler Ch. 6

  2. London Weather 9/15-9/17 • Who: Date and time • What: Temperature (C) • Why: N/A • Where: original data gathered in Orpington, SE London, data pulled from http://weather.lgfl.org.uk • When: 15/9/13 to 17/9/13 • How: data gathered by observation

  3. Rescaling • Celsius to Kelvin • Celsius to Farenheit

  4. Adding a constant to the data • Shifts the whole distribution • Mean increases/decreases by constant • Standard deviation doesn’t change

  5. Multiplying by a constant • Scales the distribution • Mean is multiplied by constant • Standard deviation is multiplied by constant

  6. Standardizing Data • Data is converted to a universal scale so we can compare apples to oranges • Units are standard deviations

  7. Standard Score (z-score)

  8. Which is better? Barry Bonds, 73 HR 2001 Babe Ruth, 60 HR 1927 Ruth HR/600 PA: 52.1 League Average HR/600 PA: 3.4 SD HR/600 PA: 7.3 Bonds HR/600 PA: 66.0 League Average HR/600 PA: 9.2 SD HR/600 PA: 14.7

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