4. [10 marks] As is well-known, the global positioning system (GPS) data is not exact or erroneous. Given the following GPS generated coordinates (latitude, longitude), partition them by using equal depth partitioning (see the "Data Preprocessing" topic) with 3 bins and smooth out the data by bin's median. Show your steps and the final smoothed latitude and longitude values. Time T1 T2 T3 latitude 38.5 37 36 longitude 120 122 120 T4 T5 38 37.5 119 118 T6 T7 37.5 | 40 117 115 T8 T9 T10 T11 T12 41 115.5 110 112 114 116 40 42 44 45