73 64 80 67 73 78 66 78 59 79 74 75 73 66 63 62 61 58 65 76 60 79 62 63 71 75 56

Question

                    73 64 80 67 73 78 66 78 59                 

                    79 74 75 73 66 63 62 61 58                 

                    65 76 60 79 62 63 71 75 56                 

                    78 73 75 63 66 71 74 64 43                 

                    A. find the sixtieth percentile                 

                    B. Find the seventy fifth percentile                 

                    C. Determine the number of data points that fall between the sixieth and seventy fifth percentiles you found in parts A. and B.                 

                    D. Prepare the box plot for these data and comment on the shape of the data

Explanation / Answer

Before answering we have to ensure that the data are in ascending order. 60th Percentile = Size of 60*(N+1) / 100 th item

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