STATISTIC

Following are the number of grams of carbohydrates in 12-ounce espresso beverages offered at Starbucks. 14 43 38 44 31 27 39 59 9 10 54 14 25 26 9 46 30 24 41 26 27 14 Source: www.starbucks.com i. Find the first and third quartiles of these data. [4 marks] ii. Find the median of these data. [2 marks] iii. Find the upper and lower outlier boundaries. [2 marks] iv. The beverage with the most carbohydrates is a Peppermint White Chocolate Mocha, with 59 grams. Is this an outlier? [3 marks] v. The beverages with the least carbohydrates are in Iced Skinny Flavored Latte, and a Cappucino, each with 9 grams. Are these outliers? [3 marks] vi. Construct a boxplot for these data. [5 marks] vii. Describe the shape of this distribution. [2 marks] viii. What is the 31st percentile? [3 marks] ix. What is the 71st percentile? [3 marks] x. There are 38 grams of carbohydrates in an Iced Dark Cherry Mocha. What percentile is this? [3 marks]