Box & Whisker Plot Worksheet 1 1. The box and whisker plot below shows the volunteer service hours performed by students at Indian Trail Middle School last summer. Volunteer Service Hours 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 a. What is the median of the data set? b. What is the lower quartile of the data set? c. What is the upper quartile of the data set? d. What percentage of data is between the lower quartile and the upper quartile? 2. What is the median of the following box and whisker plot? What percentage of the data is below the median? 25 30 35 40 50O 70 80 90 100 The second box-and-whisker plot is shifted to the right and less spread out (10% less). Lower extreme = 81, lower Q = 64,median = 74,upper Q = 85, upper extreme = 94 O 60 70 80 90 The second box-and-whisker plot is shifted to the right and less spread out (10% less). Lower extreme = 64,lower Q = 74,median = 81,upper Q = 85, upper extreme = 94 O 80 90 100 The second box-and-whisker plot is shifted to the right and more spread out (10% more). Lower extreme = 64,lower Q = 74,median = 81,upper Q = 85, upper extreme = 94 O 60 70 90 The second box-and-whisker plot is shifted to the right and less spread out (10% less). Lower extreme = 85,lower Q = 74,median = 81,upper Q = 64,upper extreme = 94 O 70 90 100 The second box-and-whisker plot is shifted to the right and more spread out (10% more).The continuous random variables X and Y have joint probability density function (PDF) fxy(x, y) = ce-F-y 130,120. Find the value of the constant c. Find the marginal PDFs of X and Y. Are X and Y independent? Find the mean of X and Y. Find the correlation of X and Y. Find the covariance of X and Y