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Unformatted text preview: Question four: Given the following information about four different data sets, answer the question posed. Sample size Information on scores More information all scores Data set one 20 X1, ….., X20 = f8e5 X Data set two 20 X1 ,…., X18 = f8e5 X X19 = f8e5 X + 2 X20 = f8e5 X -2 Data set three 20 X1 ,…., X18 = f8e5 X 19 = f8e5 X – 4, X 20 = f8e5 X -4 (typo), Data set four 20 X1, .…., X18 = f8e5 X, let us assume the mean is ten X 19 = f8e5 X + 10 X 20 = f8e5 X – 10 Given the information about the four data sets, what is the best answer? a) Σ (X- f8e5 X) will be equal for all the four groups. Variance will be also equal for the four groups because the outliers in data sets two, three, and four are at equal distance from the mean and they will cancel each other out. (partially correct) b) Σ (X- f8e5 X) as well as the variance will be highest for the fourth group. Σ (X- f8e5 X) and variance will be smallest for the first group.(wrong) c) Σ (X- f8e5 X) will be equal for all the four groups. The variance will be highest for X) will be equal for all the four groups....
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This note was uploaded on 12/03/2011 for the course STATISTICS 10 taught by Professor Gould during the Fall '11 term at UCLA.
- Fall '11