Accuracy is hitting the truth. Precision is hitting the same spot.
A model can be wrong in two completely different ways — and "more accurate" and "more
precise" are not the same fix. Four target boards fill themselves as you scroll, two
sliders let you take the gun, and a quick game asks you to call each pattern. Then the
part most people miss: why a method that is precise but wrong can still tell you
exactly which way things are moving — and why "just make it both" is sometimes not on
the menu.
01 — The target range
Four boards, four failure modes.
The bullseye is the truth — the value a model is actually trying to hit, on
repeated tries with slightly different training data. Ten shots land on each board on
their own. Where they cluster relative to the centre is accuracy; how
tight they cluster with each other is precision.
02 — Free aim
Now you control the gun.
Drag the sliders and the shots move as you drag — accuracy walks the cluster
in toward the bullseye, precision tightens or loosens it. Watch how the same "good model"
feeling can come from very different combinations, and how low precision alone can hide a
model that's accurate on average but unreliable on any single prediction.
03 — Call it
Two questions, then one name.
Start with the only thing that matters: which of the two properties does this
pattern have? Once those two calls come easily, the jargon underneath them is just a lookup.
Warm-up — which property is this?
An unlabelled pattern. Make both calls independently: does it land on the
truth, and does it repeat itself?
Does it hit the truth?= accuracy
Does it repeat itself?= precision
Correct calls: 0 / 0
You've got the two axes. Now try putting a name
on the combination ↓
Now name it.
Same idea, harder ask. Combine the two calls into the label a modelling team
would actually use.
Score: 0 / 0
04 — What it means for models
This isn't just a marksmanship metaphor.
Every one of these four patterns has a direct counterpart in how a model
learns from data — and the fix for one is often the wrong fix for another.
05 — Trends survive bias
Precise but wrong still tells you which way things are moving.
Here is the part most people skip. Twelve months of a real quality score,
measured two ways. Instrument A is precise but biased — it reads about
nine points high, every single time. Instrument B is accurate but noisy
— right on average, wrong on any given month. Read the level and A looks useless. Read the
change and A is nearly perfect, while B falls apart.
What each instrument reads
Quality score, absolute level
A sits well above the truth all year. It is plainly wrong.
Change since January
Same data, each series minus its own month 1
A's line lands on the truth. B's is a mess. The ranking flips.
Instrument A —
precise, biased
—level error
—trend error
Instrument B —
accurate, noisy
—level error
—trend error
Level error = how far the instrument's average sits from
the truth's average. Trend error = how wrong its reported change-since-January
is, averaged over the year. Both in score points.
Show the numbers as a table
Monthly readings and change since January, in score points
Month
True
A reads
B reads
True Δ
A Δ
B Δ
A constant bias subtracts out of a difference. Random noise does not.
If your method is precise but off, you still cannot say what the number is — but
you can say exactly which way it is moving and by how much. That is most of what a
dashboard is actually for.
The inverse is the trap nobody expects: an accurate-but-noisy method is trustworthy as a
level and useless as a trend. Two noisy readings a month apart tell you almost nothing
about the month — you have to average enough of them first, and averaging costs time you
may not have.
06 — One or the other
You usually get one before you get both.
The same split shows up in model evaluation, in instruments, and in the
metrics on your board deck. In every row, the third column is the move that buys you the
property you're missing.
The thingMeasured how
Missing accuracyPrecise, not accurate
Missing precisionAccurate, not precise
The moveHow you get both
AILLM-judge rubric
A judge model that
grades 0.8 points harsh on everything. The absolute scores are wrong, but rankings
and week-over-week deltas hold perfectly.
Three human raters
whose average lands on the true score but who disagree with each other by ±1.5. Any
single rating is a coin flip.
Anchor the judge on a
small hand-graded gold set — that buys accuracy. Then average five samples per item
— that buys precision. Two different fixes.
AIDemand forecast
A model that comes
in 12% under every quarter because it never learned Q4 seasonality. Reliable, and
reliably low.
An unbiased forecast
with a ±30% interval. Right in expectation, unplannable in practice.
Add the missing seasonal
term to kill the bias, then ensemble across models to shrink the interval.
InstrumentBathroom scale
Reads three pounds
heavy every time. Your weight is wrong — and your week-over-week change is exactly
right.
A wobbly scale that
averages correctly but swings ±4 lb depending on where you stand.
Put a known 20 lb weight
on the precise one. A single measured offset corrects every future reading, forever.
InstrumentGPS position
A receiver set to
the wrong map datum: every fix is 2 m off in the same direction, so every distance
between fixes is exact.
Consumer GPS —
correct averaged over a few minutes, but any single fix is ±5 m.
Differential GPS: a base
station at a surveyed position broadcasts the correction. Precision from the
receiver, accuracy borrowed from a known point.
BusinessNPS / survey
A panel that
consistently over-samples happy customers. The absolute score is inflated; the
quarter-on-quarter move is real.
A methodologically
clean survey with n=80 and a ±8 point margin. Your "6 point improvement" is noise.
Re-weight the panel
against a census to remove the tilt, then raise n to tighten the interval. Sampling
frame first, sample size second.
BusinessCycle time
A clock that always
starts 40 minutes late because the ticket is created after the work does. Every
duration is short by the same amount.
Hand-logged times
with the right average and enormous variance, because people write them down
whenever they remember.
Fix the trigger event so
the clock starts at the real start, then instrument it so no human has to log
anything.
Precision you can buy. Accuracy you have to borrow.
Precision comes from inside the system — more replicates, a tighter
process, averaging, a longer sampling window, a stronger regulariser. You can always
spend your way to a tighter cluster.
Accuracy can only come from outside it — a reference standard, a
gold-label set, a known weight, a surveyed base station, ground truth. No amount of
repeating a measurement will ever tell you it is centred.
Which sets the order of operations: get it precise first, then calibrate.
A precise instrument needs one correction, measured once. A noisy one needs a correction
you cannot even see, because its own scatter is hiding the offset you're trying to find.
07 — Why not both
There are real reasons you can't always have both.
"Just make it accurate and precise" is sometimes not a choice anyone
is declining to make. Six structural reasons the top-right corner of the board is closed —
and what you do instead when it is.
The trade-off is a curve, not a failure
Every knob that cuts variance — regularisation, smoothing, a simpler model, a shorter
window — pays for it by introducing bias. That's the mechanism, not a bug.
You're picking a point on a curve, and minimum total error is almost never at zero
bias.
There may be no reference standard
Precision is measurable from repeats alone. Accuracy needs a true value from outside.
For "is this summary any good?" or "will this customer churn in 2028?" there is no
certified weight to put on the scale — so you can prove consistency and never prove
correctness.
The bullseye is a blob
When expert annotators disagree 12% of the time, the truth has a radius. Accuracy is
capped at that irreducible error, and every point you claw back past it is fitting
your labellers rather than reality.
Range trades against resolution
A scale that can weigh a truck cannot resolve a gram. Widen the range and the steps get
coarser. And measuring disturbs what is measured — the probe warms the sample, the
survey changes the answer, the metric becomes a target and stops measuring the thing.
Precision costs n. Accuracy costs access.
Halving the noise takes four times the samples — expensive, but it's just money and
compute. Removing the bias takes ground truth somebody has to produce, which is the
slow, political, frequently-blocked part. Budgets and calendars pick one.
Corrections go stale
Sensors drift, distributions shift, and the population you calibrated on isn't this
quarter's. A model that was accurate in January is biased by June unless someone
re-anchors it — which is exactly why precision-plus-trend is often the more durable
thing to run your decisions on.
08 — Go deeper
Knowing the difference changes what you measure.
Teams often chase a single accuracy number and miss that the real problem
is variance, or chase tighter predictions and miss that they're now consistently wrong — or
throw out a biased-but-precise measure that was the best trend signal they had. That's the
kind of evaluation question we help teams get right before they ship.