Consider the following two sample data sets. Set 1: 8 9 5 6 4 Set 2: 7 15 12 5 2

Question

Consider the following two sample data sets. Set 1: 8 9 5 6 4 Set 2: 7 15 12 5 2 a. Calculate the coefficient of variation for each data set. b. Which data set has more variability? a. The coefficient of variation for set 1 is %. (Round to one decimal place as needed.) The coefficient of variation for set 2 is %. (Round to one decimal place as needed.) b. Which data set has more variability? Choose the correct answer below A. Data set 2 has more variability because its coefficient of variation is less. B. Data set 1 has more variability because its coefficient of variation is greater. C. Data set 1 has more variability because its coefficient of variation is less. D. Data set 2 has more variability because its coefficient of variation is greater

Explanation / Answer

(a) SET 1:

SET 2:

(b) SET 2 has greater variability than SET 1.

x d = x - x-bar d^2 8 1.6 2.56 9 2.6 6.76 5 -1.4 1.96 6 -0.4 0.16 4 -2.4 5.76 N = 5 = 32 17.2 Mean, x-bar = x /N = 6.4 Variance, ^2 = d^2 /N = 3.44 SD, = (Population variance) =   1.85 CV = (/Mean) * 100 = 29.0

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