A directional bias becomes displacement only through a counted run ledger. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Count forward and backward runs

There are 5 forward runs and 3 backward runs.

5+(3)=25+(-3)=2
Biased run ledgerForward minus backward runs moves the mean in this count model.net displacement531/4

Excess runs times run length gives net displacement

Two excess forward runs of 12 m give net displacement 24 m.

212=24 m2\cdot12=24\ \text{m}
Biased run ledgerForward minus backward runs moves the mean in this count model.net displacement531/4