How it works
The calculator projects the same total amount two ways. The lump sum route invests everything on day one and compounds for the whole period. The instalment route divides the amount into equal monthly payments, and whatever those instalments have built keeps compounding for the rest of the period.
Both routes are held to the same effective annual return. That sounds obvious but it is the part most comparisons get wrong: the underlying SIP and lumpsum engines use different compounding conventions, so giving both the same nominal percentage would hand the monthly route a 0.68 percentage point advantage that has nothing to do with strategy. The equalised nominal rate is shown as an output so you can see the adjustment being made.
More detail
Money not yet invested is treated as earning nothing. If you would in practice park it in a liquid fund while it waits, the STP calculator models that case, which is the more realistic version of staggering.
The result under a constant return will always favour the lump sum, for a reason that has nothing to do with markets: a rupee invested earlier earns for longer. The scenarios are there to show how the size of that gap responds to the window, the rate and the horizon.
If the money would earn something in a liquid fund while it waits, the STP calculator models that.
For a plain monthly investment out of income rather than a lump sum, use the SIP calculator.