Given the task definition and input, reply with output. In this task you will be given a list of numbers and you need to find the mean (average) of that list. The mean of a list can be found by summing every number in the list then dividing the result by the size of that list. The output should be rounded to 3 decimal places.

[-7.466, 108.972, -83.563, -63.654, 194.65, 163.163, 184.572, -34.262, 83.965, -87.951]

45.843