Chapter 4 #12 12. During his 20 seasons in the NHL, Wayne Gretzky scored 50% more points than anyone who ever played professional hockey. He accomplished this amazing feat while playing in 280 fewer games than Gordie Howe, the previous record holder. Here are the number of games Gretzky played during each season:   79, 80, 80, 80, 74, 80, 80, 79, 64, 78, 73, 78, 74, 45, 81, 48, 80, 82, 82, 70 a) Create a stem-and-leaf display for these data using split stems. Stems are split, be each is listed twice.

Chapter 4 #12 b) Describe the shape of the distribution. 12. During his 20 seasons in the NHL, Wayne Gretzky scored 50% more points than anyone who ever played professional hockey. He accomplished this amazing feat while playing in 280 fewer games than Gordie Howe, the previous record holder. Here are the number of games Gretzky played during each season:   79, 80, 80, 80, 74, 80, 80, 79, 64, 78, 73, 78, 74, 45, 81, 48, 80, 82, 82, 70 b) Describe the shape of the distribution. Skewed to the left – because the tail is toward the lower numbers unimodal and skewed to the left

Chapter 4 #12 12. During his 20 seasons in the NHL, Wayne Gretzky scored 50% more points than anyone who ever played professional hockey. He accomplished this amazing feat while playing in 280 fewer games than Gordie Howe, the previous record holder. Here are the number of games Gretzky played during each season:   79, 80, 80, 80, 74, 80, 80, 79, 64, 78, 73, 78, 74, 45, 81, 48, 80, 82, 82, 70  c) What other items should be described when describing the distribution. . There are three possible outliers where Mr. Gretzsky only played 64, 48, and 45 games.

Chapter 4 #12 12. During his 20 seasons in the NHL, Wayne Gretzky scored 50% more points than anyone who ever played professional hockey. He accomplished this amazing feat while playing in 280 fewer games than Gordie Howe, the previous record holder. Here are the number of games Gretzky played during each season:   79, 80, 80, 80, 74, 80, 80, 79, 64, 78, 73, 78, 74, 45, 81, 48, 80, 82, 82, 70 Centered at the median of 79 games per season with an IQR of 6.5 games per season Remember that there are 20 seasons, so Median = 79 ---- That’s between the 10th & 11th season from the LOW end (both 79) Q1 = 73.5 ---- That’s between the 5th & 6h season from the LOW end (73 & 74) Q3 = 80 ---- That’s between the 5th & 6h season from the HIGH end (80 & 80)

Chapter 4 #19 19. The data below give the number of hurricanes that happened each year from 1944 through 2000 as reported by Science magazine.   3, 2, 1, 2, 4, 3, 7, 2, 3, 3, 2, 5, 2, 2, 4, 2, 2, 6, 0, 2, 5, 1, 3, 1, 0, 3, 2, 1, 0, 1, 2, 3, 2, 1, 2, 2, 2, 3, 1, 1, 1, 3, 0, 1, 3, 2, 1, 2, 1, 1, 0, 5, 6, 1, 3, 5, 3 a) Create a dotplot of these data.

Chapter 4 #19 19. The data below give the number of hurricanes that happened each year from 1944 through 2000 as reported by Science magazine.   3, 2, 1, 2, 4, 3, 7, 2, 3, 3, 2, 5, 2, 2, 4, 2, 2, 6, 0, 2, 5, 1, 3, 1, 0, 3, 2, 1, 0, 1, 2, 3, 2, 1, 2, 2, 2, 3, 1, 1, 1, 3, 0, 1, 3, 2, 1, 2, 1, 1, 0, 5, 6, 1, 3, 5, 3 b) Describe the distribution. (Don’t forget SOCS.) The distribution is unimodal and skewed right, with no apparent outliers. The is center at the median of 2 hurricanes per year with an IQR of 2 hurricanes per year. Note 57 years puts the Median at the 29th year from the LOW end (2). Q1 is between the 14th and 15th year from the LOW end (Both are 1). Q3 is between the 14th and 15th year from the HIGH end (Both are 3).

Chapter 4 #20 Create two side-by-side dotplots. (Don’t forget titles.) 20. A bimodal distribution usually indicates that there are actually two different behaviors present in the data. Investigating those two behaviors separately can produce important insights. Here are the data again, broken into two groups showing the number of hurricanes recorded annually before and after 1970. 1944 – 1969 1970 – 2000 3, 2, 1, 2, 4, 3, 7, 2, 3, 3, 2, 2, 1, 0, 1, 2, 3, 2, 1, 2, 2, 5, 2, 2, 4, 2, 2, 6, 0, 2, 5, 1, 2, 3, 1, 1, 1 3, 0, 1, 3, 2, 3, 1, 0, 3 1, 2, 1, 1, 0, 5, 6, 1, 3, 5, 3 Create two side-by-side dotplots. (Don’t forget titles.)

Chapter 4 #20 b) Write a few sentences comparing the distributions. (Don’t forget SOCS.) (Must use comparison words. Not just lists.) The distributions have similar shapes since they are both unimodal and skewed right. They are also similar, because neither has any apparent outliers. The center of both distributions also similar, since both have a median of 2 hurricanes per year. The spread of the number of hurricanes before 1970 (IQR = 1) is slightly more consistent than after 1970 (IQR = 2).