Math14

Use the side-by-side boxplots shown to complete parts (a) through (e). X y 30 60 90 120 (a) What is the median of variable x? The median of variable x is . (Round to the nearest integer as needed.) (b) What is the third quartile of variable y? The third quartile of variable y is . (Round to the nearest integer as needed.) (c) Which variable has more dispersion? Why? O A. Variable y-the interquartile range of variable y is larger than that of variable x. O B. Variable x-the interquartile range of variable x is larger than that of variable y. O C. Variable x-the range of variable y is smaller than that of variable x. O D. Variable y-the range of variable x is smaller than that of variable y. O E. Both dispersions are equal. (d) Describe the shape of the variable x. Support your position. Choose the correct answer below. A. Skewed right-the median is right of center in the box and the left whisker is shorter than the right whisker. O B. Symmetric-the median is the center of the box and the left and right whiskers are about the same length. O C. Skewed left-the median is left of center in the box and the left whisker is longer than the right whisker. O D. There is not enough information to determine the shape of the variable x. (e) Describe the shape of the variable y. Support your position. Choose the correct answer below. O A. Skewed right-the median is left of center in the box and the left whisker is shorter than the right whisker. O B. There is not enough information to determine the shape of the variable y. C. Skewed left-the median is right of center in the box and the left whisker is longer than the right whisker. O D. Symmetric-the median is the center of the box and the left and right whiskers are about the same length