Question

these box plots show the basketball scores for two teams. compare the shapes of the box plots. a. both distributions are symmetric. b. the wolverines’ distribution is negatively skewed, but the panthers’ distribution is symmetric. c. the wolverines’ distribution is positively skewed, but the panthers’ distribution is symmetric. d. both distributions are negatively skewed.

Explanation:

For the Wolverines, the distance from the median (80) to the maximum (96) is 16 and from the median to the minimum (35) is 45. Since the longer 'tail' is on the lower - value side, it is negatively skewed. For the Panthers, the distance from the median (70) to the maximum (107) is 37 and from the median to the minimum (33) is 37. Also, the quartiles are evenly spaced around the median, so it is symmetric.

Answer:

B. The Wolverines’ distribution is negatively skewed, but the Panthers’ distribution is symmetric.