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 | latitude longitude T1 38.5 120 T2 T3 37 36 122 120 T4 38 119 T5 37.5 118 T6 37.5 117 T7 40 115 T8 41 115.5 T9 40 110 T10 T11 T12 42 44 45 112 114 116