The number of employees absent from work at a large tyre manufacturing plant over a period of 96 days is given in the table below.
105 101 99 100 105 101 102 91 102 100 104 100
98 99 107 99 101 97 101 92 100 100 101 103
94 106 94 102 93 109 100 103 103 109 96 101
103 103 101 100 98 96 98 104 96 105 103 97
102 106 100 108 100 100 99 99 104 98 106 107
108 102 93 100 101 105 108 99 96 101 100 99
106 95 92 108 102 105 105 81 89 103 108 98
109 106 101 102 104 97 103 108 104 98 109 108
(a) Construct a stem-and-leaf diagram. Do not round the data but be innovative in your choice of a stem so that the diagram has between 5 and 10 leafs.
(b) Construct three frequency distributions by using each of the following as the first class (and equal class interval for each distribution): "77 to less than 92", "79 to less than 86", and "80 to less than 83". Which frequency distribution provides the best summary? Explain your answer briefly. (Use a maximum of 100 words).
(c) Draw a histogram for the frequency distribution in Part (b) with the first class "79 to less than 86". On the same graph draw the frequency or percentage polygon.