Chapter 4 #5 5. The histogram shows the lengths of hospital stays (in days) for all the female patients admitted to hospitals in New York in 1993 with a primary diagnosis of acute myocardial infarction (heart attack). a) Describe the distribution’ SHAPE. The distribution is skewed to the right and possibly bimodal

Chapter 4 #5 5. The histogram shows the lengths of hospital stays (in days) for all the female patients admitted to hospitals in New York in 1993 with a primary diagnosis of acute myocardial infarction (heart attack). b) Describe the distribution’s CENTER. The distribution is centered around 8.

Chapter 4 #5 5. The histogram shows the lengths of hospital stays (in days) for all the female patients admitted to hospitals in New York in 1993 with a primary diagnosis of acute myocardial infarction (heart attack). c) Describe the distribution’s SPREAD. The distribution ranges from 1 to 36 days with the majority of the hospital stays lasting between 1 and 15 days. The range is 36 – 1 = 35 days.

Chapter 4 #5 5. The histogram shows the lengths of hospital stays (in days) for all the female patients admitted to hospitals in New York in 1993 with a primary diagnosis of acute myocardial infarction (heart attack). b) Describe the distribution’s Outliers and unusual features. The distribution has a gap at 35 days with a possible outlier at 36 days.

Chapter 4 #14a The Cornell Lab of Ornithology holds an annual Christmas Bird Count, in which birdwatchers at various locations around the country see how many different species of birds they can spot. Here are some of the counts reported from sites in Texas during the 1999 event a) Create a stem-and-leaf display of these data.

Chapter 4 #14b b) Write a brief description of the distribution. Be sure to discuss the overall shape, center, spread, and any outliers. The distribution is skewed right. There are possible high outliers at 206 and 228 birds. The center is at the median of 166 birds with an IQR of 23.5 birds. Q1 = (between 5 th & 6 th from LOW end) Q3 = 182 (between 5 th & 6 th from HIGH end)

Chapter 5 #12&14 12&14. Below is a stem-and-leaf display of the number of games played by hockey great Wayne Gretzky during his 20-year career in the NHL. a) Would you use the median or the mean to describe the center of this distribution? Why? We should use median. The distribution is skewed to the left, and has low outliers. The median is more resistant to the skewness and outliers than the mean.

Chapter 5 #12&14 12&14. Below is a stem-and-leaf display of the number of games played by hockey great Wayne Gretzky during his 20-year career in the NHL. b) Find the median. The median is 79 games. Both the 10 th and 11 th values are 79, so the median is the average of these two, also 79.

Chapter 5 #12&14 12&14. Below is a stem-and-leaf display of the number of games played by hockey great Wayne Gretzky during his 20-year career in the NHL. c) Without actually finding the mean, would you expect it to be higher or lower than the median? Explain. The mean should be lower. There are two seasons when Gretzky played an unusually low number of games. Those seasons will pull the mean down.

Chapter 5 #12&14 12&14. Below is a stem-and-leaf display of the number of games played by hockey great Wayne Gretzky during his 20-year career in the NHL. d) Find the range. (Show your work.) The range is the distance between the minimum and maximum. 82 – 45 = 37 games. (NOTE: Range is a measure of SPREAD.)

Chapter 5 #12&14 12&14. Below is a stem-and-leaf display of the number of games played by hockey great Wayne Gretzky during his 20-year career in the NHL. e) Find the interquartile range. (Circle Q1 and Q3 on the stem-and-leaf display first and then show work.)

Chapter 5 #12&14 12&14. Below is a stem-and-leaf display of the number of games played by hockey great Wayne Gretzky during his 20-year career in the NHL. f) Using the Outlier Rule, explain why the two seasons when Gretzky played only 45 and 48 games could be considered outliers.

Chapter 5 #12&14 12&14. Below is a stem-and-leaf display of the number of games played by hockey great Wayne Gretzky during his 20-year career in the NHL. g) Do you consider the 64-game season an outlier, too? Explain. The 64 game season is very close to the lower fence of Technically it is not outside the fence, so it isn’t an outlier.

Chapter 5 # The Farmingham Heart Study recorded the cholesterol levels of more than 1400 men. Here is an ogive of the distribution of these cholesterol measures. (An ogive is a cumulative frequency graph that shows the percentage of cases at or below a certain value.) a) Construct a boxplot for these data. 50% 75% 25% Min Max Q1 is about 200. Max is about 420. Min is about 100. Q3 is about 260. Median is about 230.