1. The following data represents the 50 consecutive breakdown times, in minutes during working hours, of a particular machine. 10 37 62 90 10 41 62 98 11 43 67 12 44 73 15 44 78 16 46 83 16 48 84 17 49 84 17 49 84 24 50 86 25 52 87 27 55 87 29 56 87 30 56 88 31 56 89 31 61 89 a) Ungrouped Data Calculations: Using the raw data provided, calculate the following: [6] i. Mean of the ungrouped data (give your answer to 2 decimal places) ii. Median of the ungrouped data iii. Mode of the ungrouped data iv. Range of the data set v. Standard Deviation b) Grouped data section: i. Using the data above, divide it into 5 classes and create a grouped frequency table. Hint: The first few midpoints of the classes are: Midpoints: 18.5, 36.5, 54.5 .... Based on these complete the frequency table. ii. Construct a cumulative frequency plot using the grouped data. Label the axes and provide an appropriate title. [9]