17. Which score has a higher relative position: a score of 59.2 on a test for wh

Question

17. Which score has a higher relative position: a score of 59.2 on a test for which xbar = 37 and s = 9.1 , or a score of 362.4 on a test for which xbar = 291 and s = 30? (Note: xbar represents the mean value of the sample of tests collected.)

18. The graph at the right is a bar graph of the distribution of hours spent playing video games over the past week from a collection of randomly selected teenage males in the United States. Answer the following: a. How many teenage males were part of this study? b. Estimate the mean and the median length of time this group of selected teenage males spent gaming during the last week. c. Is the distribution symmetric, uniform, skewed left, skewed right, or none of these?

Hours Spent Gaming During Last Week by Teenage Males 200 180 160 140 163 122 120 101 100 80 60 40 20 12 56 40 37 22 23 23 1 2 3 4 5 6 789 10 11 12 13 14 15 Hours 35 40 45 50 55 60 65 70 75 Length of shoe laces in mm

Explanation / Answer

Question 17:

Case 1: x= 59.2, xbar = 37 and s = 9.1 , z=(x-xbar)/s = (59.2-37)/9.1=2.44

Case 2: x= 362.4, xbar = 291 and s = 30, z=(362.4-291)/30=2.38

Since for case 2, the z value is lower this means Case 1 has has a higher relative position

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