Relative Standing 1 Notes Spring

Relative Standing 1 Notes Spring - 2 of 12 1.1 Relative...

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Unformatted text preview: 2 of 12 1.1 Relative Standing Histogram of height height Frequency 65 70 75 1 2 3 4 5 Histogram of height.skewed height.skewed Frequency 30 40 50 60 70 80 5 10 15 Now we will look at methods for measuring the relationship of individual data points to the whole data set. Useful for comparing values from different data sets. How unusual is a specific data point? How does Mini-Me’s height compare to the class as a whole? What is Mini-Me’s relative standing? 1.1 Relative Standing Z SCORES z score. Definition 1.1 the number of standard deviations a given value x is away from the mean. (unit-less) population: z = x- μ σ (1) sample: z = x- ¯ x s (2) Thus, unusual value if | z | > 2. Treating our class with Mini-Me as a population, for the height data: μ = 66 in, σ = 9 in. Anthony Tanbakuchi MAT167 Relative Standing 3 of 12 Question 1 . Find the z score for Mini-Me at 32 inches Question 2 . Is Mini-Me’s height unusual? Why? Illustration z score properties Let’s convert our class data to z scores: R: z . height = ( height- mean( height ) )/sd ( height ) The z scores for heights are now: {-0.68, 0.1, 0.88, -0.42, 0.1, -0.68, -1.5, 0.1, 2.4, -1.5, 0.36, 0.62, -0.68, -1.2, -0.16, 1.4, 0.1, 0.620....
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This note was uploaded on 02/10/2012 for the course MAT 1670 taught by Professor Tanbakuchi during the Spring '11 term at University of Florida.

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Relative Standing 1 Notes Spring - 2 of 12 1.1 Relative...

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