Answer Happy

1. A supermarket has recently introduced an online shopping service. In a typical week the manager of online services has selected a representative sample of 29 customers. The amount each of these customers spent on goods ordered online has been noted and has been summarised in the form of a stem and leaf plot. In the plot shown below, 2 | 6 (for example) means £26. Amounts have been rounded to the nearest pound (£). Stem (Tens) Leaf (Units) Frequency 1 2 6 3 1 5 2 4 0 2 2 5 6 5 5 1 2 4 4 6 8 9 9 8 6 0 1 2 2 5 5 6 7 0 4 4 7 4 8 2 1 9 3 1 10 8 1 Calculate the median, the lower quartile and the upper quartile for amount spent. Hence, calculate the inner and outer fences for the data set and identify outliers, if any. (8 marks) b) Draw a box and whisker plot for this data, refined to show any outliers. What does this box and whisker plot tell the online services team about the amount spent on- line in a typical week? (7 marks)