MINITAB (for QCAR and SIXSIGMA courses) ASSIGNMENT - 1 1. Develop a box and whisker plot from the data given below to analyses the daily ATM usage data at two locations of the university campus – North Gate and South Gate. Interpret the plot and draw some conclusion. Sl. No 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Location North South North South North South North South North South North South North South North South North South North South North South Daily ATM Usage 125 260 101 215 144 249 150 149 147 160 136 190 102 237 117 195 102 182 132 237 131 168 (Hint: Two box plots for comparison between two locations has to be drawn) Data Filled in Minitab Two box plots For South Location Q1 = 168 Q3 = 237 Interquartile range = Q3-Q1 IQ range = 237 - 168 = 96 Median = 195 Whiskers to : 149,260 N = 11 For North Location Q1 = 102 Q3 = 144 Interquartile range = Q3-Q1 IQ range = 144 - 102 = 42 Median = 131 Whiskers to : 101,150 N = 11 2. The owner of a Taxi service has selected a sample of customer trip and has recorded the data on three variables: Distance in Miles, Trip Duration in minutes, and Tip amount to Driver. These data are as follows: Trip Distance (miles) 1 2 3 4 5 6 7 8 9 10 4.2 8.7 0.9 3.3 13.5 5.3 4.0 11.7 2.1 1.7 Data Filled in Minitab Trip Duration (in Minutes) 7.9 16.3 3.0 7.9 24.6 13.0 9.3 19.3 5.2 4.7 Tip to Driver (% to Fare) 14.2 10 28 20 15.5 20.2 22 14.6 23 20 Scatter plot (a) To better understand these data, the manager wants to know the relationship between the trip distance and trip duration. Construct a Scatter plot and comment. Matrix plot (b) Also he wants to know the relationship between all the variables with each other. Construct a Matrix plot and comment on the relationship between the variables. *****