Referencing Styles : Harvard (a) Construct a stem-and-leaf display for the data. 1 mark (b) Construct a relative frequency histogram for these data with equal class widths, the first class being “less than 10-degree”. 1 mark (c) Briefly describe what the histogram and the stem-and-leaf display tell you about the data. What effects would there be if the class width is doubled, which means the first class will be “less than 12-degree” (and second be “12 to less than 16-degree”)? 1 mark (d) What proportion of the maximum temperatures were above 16-degree? 1 mark (Note: Use only the original values and not adjusted values.) Question 2 4 Marks The following table (see next page) provides results of customers’ satisfaction survey on four supermarkets in a regional city. This sample data is obtained from a database that contains the similar survey results for different cities in the country. A value of 100 indicates completely satisfactory and a value of 0 means completely dissatisfactory. From this data answer the questions below for the supermarkets. (a) Compute the mean, median, first quartile, and third quartile for each supermarket (do not modify, add to/delete from the table) using the exact position, (n+1)f, where n is the number of observations and f the relevant fraction for the quartile. 1 mark (b) Compute the standard deviation, range and coefficient of variation from the sample data for each supermarket. 1 mark (c) Draw a box and whisker plot for the median satisfaction of each supermarket and put them side by side on the same scale so that the satisfaction can be compared