Why jigs are the real invention
Why repeatability comes from the fixture rather than the operator.
Jigs are the real invention behind repeatable manufacturing because a jig moves the source of accuracy out of the operator's hands and into a fixed piece of tooling, so that the hundredth part made against it is exactly as good as the first regardless of who is standing at the bench that day or how tired, rushed, or careless they happen to be.
What is really going on
A skilled worker with a steady hand and a good eye can make one excellent part. What that same worker usually cannot do is make five hundred parts that are all identical to each other, because human judgement, however good, drifts slightly from one attempt to the next, tiring over a shift, adapting unconsciously to a slightly different grip, or simply making a marginally different call about where exactly a line should fall. A jig removes that drift entirely by physically constraining where a cut can happen, where a hole can be drilled, or how a part can be held, so the variation that used to live in the operator's hands now lives, permanently and unchangingly, in a block of metal that does not get tired and does not have opinions.
This is a genuinely different kind of invention from a better tool, and it is worth being precise about the distinction. A sharper drill bit makes a cleaner hole, but it still depends on the same hand to start that hole in the same place every time. A drill jig makes no such demand, it physically pins the drill bit's location before the operator ever pulls the trigger, so the question of where the hole ends up stops being a question about the operator's skill at all. That shift, from trusting a person to trusting a fixture, is the entire reason interchangeable manufacturing became possible on any real scale, since it let a workforce with widely varying skill produce parts of a consistency that used to require a single master craftsman working alone.
The cookie-cutter comparison
Cutting biscuit shapes freehand from rolled dough with a knife produces a different shape every single time, wobbling slightly wider here, narrower there, depending on how steady the hand holding the knife happens to be on that particular pass. Pressing a metal cookie cutter into the same dough produces the identical shape every time, not because the person pressing it has suddenly become more skilled, but because the shape itself has been moved out of their hands and into the cutter. The skill required to use the cutter well, pressing straight down with even pressure, is real but far less demanding than the skill required to cut the same shape freehand, and more importantly it no longer determines the outcome, since even an uneven press still produces a shape the cutter's edge, not the hand, actually defines.
Where the effort really goes
Building a jig well takes real skill and often significant time, sometimes considerably more time than making a single part the old, unguided way would have taken. That investment is not wasted, it is simply relocated, moved from being spent again on every single part to being spent once on the tool that will go on to make every part after it. This is why an experienced maker facing a batch of parts will often spend the first hour building a simple fixture, a block with a hole drilled through it to guide a drill bit straight, a stop clamped to a saw table to fix a cut length, before making a single finished part, trusting that the hour spent on the fixture will be repaid many times over once the actual parts start coming off it identically.
The number that matters here
A hole drilled freehand through a series of identical brackets might vary in position by several tenths of a millimetre from one bracket to the next, purely from small unavoidable differences in how the drill was started and held steady each time. The same holes drilled through a simple guide bushing clamped to the workpiece typically hold position to within a few hundredths of a millimetre across the entire batch, an improvement of roughly an order of magnitude achieved with a piece of tooling that took perhaps twenty minutes to make and contains no moving parts at all.
What follows from this
Recognising that repeatability lives in the fixture rather than the operator changes how a batch of parts gets planned from the very first part rather than only after inconsistency has already become a visible problem. It also explains why the tooling for a production part is so often more complicated, and more carefully designed, than the part itself, since the jig is doing the actual work of guaranteeing quality while the part is simply the thing that benefits from it. A drawing that specifies a tight tolerance without also specifying, or at least anticipating, the fixture that will hold that tolerance across a production run is really only half a plan, and the datum surfaces a jig locates against, the flat face, the edge, the pin, deserve exactly the same design attention as the finished part's own dimensions, since every hole the jig ever drills inherits whatever accuracy those datums actually hold.
It also reframes what counts as skill in a production shop, since the most valuable person on the floor is often not the one with the steadiest hands but the one who can look at a batch of parts and design the fixture that removes the need for steady hands altogether. That is a design skill rather than a manual one, closer to the reasoning covered later in this set about why the person making a part benefits from being in the room when it is designed, since a fixture built without that hands-on knowledge tends to constrain the wrong things.
Where this stops being true
A jig only pays for the time spent building it once the number of parts made against it is large enough to absorb that time, so for a genuine one-off, the fixture becomes the more expensive way to make the part rather than the cheaper one, the same crossover already covered when comparing hand tools against machines earlier in this set. Below that crossover, an operator's hands, checked carefully and often, remain the more economical source of repeatability there is.