given five numbers: e.g. 3 , 7 , 9 , 2 , 5
choose any other number and work out the sum of the (positive) distances from this number
e.g. if I choose 4, the sum is 1 + 3 + 5 + 2 + 1 = 12
explore the sums of distances from various points
when is this distance a minimum?
try to give a reason why this is true
you are not restricted to the range of numbers given - you could choose to start from e.g. 11
what happens when you move away outside the range of the given numbers?
try starting from another set of five numbers