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0.17 0.25 0.3 0.3 0.33 0.33 0.4 0.42 0.42 0.42 0.5 0.5 0.5 0.58 0.6 0.65 0.7 0.8

ID: 3258218 • Letter: 0

Question

0.17 0.25 0.3 0.3 0.33 0.33 0.4 0.42 0.42 0.42 0.5 0.5 0.5 0.58 0.6 0.65 0.7 0.8 0.9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1.33 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.66 1.67 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.75 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3.17 3.28 3.33 3.5 3.5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4.5 4.5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8.5 9 9 10 10 10 10 10 12 15 15 2 Use the Lines on the Road data in Content in Carmen. Compute z-scores for all of these values. What's the z-score that comes closest to the mean of the distribution? What estimates define the extremes in the distribution (generally speaking, z = plusminus 2.00)?

Explanation / Answer

Ans: z =(xi-mean)/std. dev

Closest to the mean ,z score =-0.03 (corresponding to 2.5)

z score corresponding to 7 is 2.1 >2,falls outside the limit of z=+2

there is no data below z=-2.

Mean 2.57 standard dev 2.11