4. Nora recorded the number of seconds her Keurig took making 20 different cups of coffee. The data is given below: 20, 24, 26, 34, 30, 31, 31, 33, 36, 41, 42, 22, 22, 23, 38, 19, 41, 45, 30, 31 (a) What is the 45th percentile? (b) What is the percentile of 38 seconds? (c) Find the 5-number summary for this data. (d) Find the interquartile range. (e) Find the lower fence. (f) Find the upper fence. (g) Are there any potential outliers? If so, what are they? (h) Create a box and whisker plot of the data. 5. A random sample of 19 people were asked how long it takes them to get to work. Their commute times in minutes are given below. 32, 8, 15, 8, 4, 5, 12, 33, 3, 21, 3, 6, 31, 19, 10, 13, 43, 20, 19 (a) Create a stemplot of the data. (b) What is the 90th percentile of this data? (c) What is the percentile of the data value 8? (d) Does this data have any potential outliers? Justify your answer. (e) Create a box and whisker plot of this data. 2 6. Answer the questions below concerining a dataset having box and whisker plot: 0 2 4 6 8 10 12 14 16 18 20 22 24 (a) Find the 5-number summary for this data. (b) Find the interquartile range. (c) Find the lower fence. (d) Find the upper fence. (e) Are there any outliers? If so, describe where they outliers are. 7. Make up a collection of 10 data values with • one potential outlier that is smaller than the rest of the data and • two potential outliers that are larger than the rest of the data. Justify your answer.