Histogram of Wave Heights for Sheet Harbour, Halifax County 20 15- Percent 10 5 0. 0.4 0.8 1.6 2.0 2.4 Wave Height (metres) Location N Mean StDev Minimum Q1 Median Q3 Maximum Lobster Bay 319 0.4966 0.3323 0.1309 0.2749 0.3876 0.5834 2.3551 Sheet Harbour 255 0.4286 0.2579 0.0306 0.2183 0.3782 0.5526 1.5358 1) Which of the following statements comparing the centres of the distributions is best? O A. Lobster Bay tends to have larger wave heights than Sheet Harbour based on both the mean and median. O B. Sheet Harbour tends to have larger wave heights than Lobster Bay based on the mean (but not the median). O C. Sheet Harbour tends to have larger wave heights than Lobster Bay based on both the mean and median. O D. Lobster Bay tends to have larger wave heights than Sheet Harbour based on the mean (but not the median). O E. Lobster Bay always had larger waves than Sheet Harbour did because all of the summary statistics are larger for Lobster Bay. 2) Which of the following statements comparing the variability (spread) of the distributions is best? O A. Sheet Harbour has more variability in wave heights than Lobster Bay does based on IQR but not based on standard deviation. O B. Lobster Bay has less variability in wave heights than Sheet Harbour does because it has a larger sample size O C. Sheet Harbour has more variability in wave heights than Lobster Bay does because it has a larger range (2.2242 vs. 1.5052, respectively). O D. Lobster Bay has more variability in wave heights than Sheet Harbour does based on IQR but not based on standard deviation. O E. Lobster Bay has more variability in wave heights than Sheet Harbour does based on standard deviation, IQR, and range. 3) Which of the following statements comparing potential outliers for the distributions is best? O A. There is no way to compare potential outliers for these distributions using the information provided. O B. There are no potential outliers in either distribution as identified by the 1.5 xIQR rule. O C. Both distributions have potential outliers as identified by the 1.5 x IQR rule. O D. There are only three potential outliers for Sheet Harbour O E. Lobster Bay has two potential outliers (the two tallest bars that are approximately the same height) while Sheet Harbour only has one potential outlier (the tallest bar). 4) Which of the following is the best overall summary comparing these distributions? O A. Because the sample sizes are so different (319 for Lobster Bay vs. 255 for Sheet Harbour) we cannot meaningfully compare the distributions. O B. The distributions of wave heights for Lobster Bay and Sheet Harbour are similar in terms of the centre and variability but have very different shapes. O C. The distributions of wave heights for Lobster Bay and Sheet Harbour are the same. O D. The distributions of wave heights for Lobster Bay and Sheet Harbour are similar, but Lobster Bay tends to have larger waves than Sheet Harbour on average