The accompanying data set consists of observations on shower-flow rate (L/min) for a sample of n = 129 houses in Perth, Australia (“An Application of Bayes Methodology to the Analysis of Diary Records in a Water Use Study,” J. Amer. Stat. Assoc., ?1987: 705–711): a. ? onstruct a stem-and-leaf display of the data. b. ? hat is a typical, or representative, flow rate? c. ?Does the display appear to be highly concentrated or spread out? d. ?Does the distribution of values appear to be reasonably symmetric? If not, how would you describe the departure from symmetry? e. ?Would you describe any observation as being far from the rest of the data (an outlier)?

Solution : Step 1 : The given data set consist of consists of observations on shower-flow rate (L/min) for a sample of n = 129 houses in Perth, Australia . we have make a stem leaf diagram based on the data and want to interpret the diagram. Step 2 : a) A stem and Leaf display is a device for presenting quantitative data in a graphical format. In this particular data ten digits forms the Stem and one digit forms the Leaf. By the making all the given data in ascending order and then display it will be in the form. Stem and Leaf display Stem and Leaf of rate N= 129 Leaf unit= 0.10