Question

I know how to find finite differences such as first or second differences. But what if the co-ordinates gives are in random order.

Answer 1

x y
1 3
2 1
3 -3
4 -9

Answer 2

In the case on top, the x values are increasing consistantly but what if the were in random order

such as

x
1 3
3 -3
4 -9
2 1

Answer 3

In the case on top, the x values are increasing consistantly but what if the were in random order

such as

x y
1 3
3 -3
4 -9
2 1

Answer 4

Arrange them in order first, then try

Answer 5

But sometimes they are really random and have no pattern at all. Here in my example its evident that the x increases by one but what I was given totally random values

Answer 6

So what im trying to say is that the x values do not increse by the same amount