A Remarketing Quote Is a Distribution: Median, Spread and Sample Size for Residual Value Forecasts

Published 2026-10-04 · LuckyMDM Blog

The short answer

The short answer: a remarketing quote for one model in one cosmetic grade is not a number, it is a distribution. Treating it as a single figure biases every residual value forecast in the same direction - upward. Three parameters describe the distribution well enough to budget from: the median, the interquartile range and the sample size. Forecast on the median and never on the observed high. The reason the bias runs one way is simple: the high price you remember comes from a retail relisting channel, while the price you actually realise comes from a bulk channel, and those two channels are not quoting the same product.

A quote is a distribution, not a number

Why one unit gets three prices from three buyers

A 128 GB handset graded as Grade A draws 400 USD from one buyer, 350 USD from a second and 310 USD from a third. None of the three is wrong, because none of the three is answering the same question.

The underlying mechanism is that a remarketing quote is not a measure of what the unit is worth. It is a conditional statement of what that buyer will pay, in that channel, on that specification, on that day. The buyer's downstream outlet sets the ceiling. A buyer who relists individually into a retail market at 420 USD can pay 400 USD and still hold margin. A buyer moving pallets into an export lot with 18 USD of margin per unit has a hard ceiling near 350 USD. The downstream structure of the channel determines the ceiling; the cosmetic grade only determines where inside that ceiling the quote lands.

This is also why collecting a single quote means treating three different products as one.

Three parameters, minimum

Recording one number is an implicit claim that the variance is zero. Three parameters are needed before the figure is auditable:

ParameterHow to compute itWhat it tells youCommon mistake
MedianSort all samples ascending, take the middle one (average the middle two for an even count)What you normally realise - budget on thisUsing the mean, which one or two retail highs drag upward
Interquartile range75th percentile minus 25th percentileHow unstable the price is - stability matters more than levelUsing the full range, which isolated outliers inflate
Sample sizeNumber of quotes and the collection windowWhether the first two mean anythingCalling three quotes a median

With any one of the three missing, the distribution is still an impression rather than data.

A reproducible sample

Setup: one 128 GB model, Grade A, battery health 88 percent, one quote per day from three channels over 30 days, 60 samples in total.

Lowest          310 USD
25th percentile 336 USD
Median          350 USD
75th percentile 364 USD
Highest         400 USD
Interquartile range = 364 - 336 = 28 USD
Highest - median   = 400 - 350 = 50 USD
50 / 350 = 14.3 percent

Forecasting on the 400 USD observation instead of the 350 USD median overstates the unit by 14.3 percent. On a fleet that remarkets 200 units a quarter, that is 10,000 USD of book value that does not exist. It rarely shows up as an outright loss - it shows up as a quarter that underperformed the plan, and nobody traces it back to the residual assumption.

Different specifications look like different prices

Four specification fields every quote must state

Two quotes are not comparable until four fields are aligned. Miss one and any comparison is invalid:

The half that is measurable on the device

Of those four fields, cosmetic grade and accessory completeness need a human. The other half is readable on the unit itself before it leaves the depot:

LuckyMDM (Sichuan Starlight Network LLC) exposes battery health, the seven-part hardware integrity states, the activation lock state and the enrolment binding state as fields read automatically before a unit goes to remarketing - the four items on a quote specification that are measurable on the device. Cosmetic grade and accessory completeness still require a person.

Three channel structures compared

Channel typeLevel relative to medianStabilityVolume it suits
Retail relistAbove median, can reach the observed highLow, moves with retail pricing day to daySingle units to a dozen
Bulk wholesaleClose to medianMedium, negotiated per lotDozens to hundreds
Consignment platformBelow medianHigh, but slow to settleOdd units

Why the forecast uses the median

Overstatement is one-directional, understatement is not

Forecasting from the observed high produces an error that only travels one way, because settlement almost always happens in the bulk channel rather than the retail one. Forecasting from the median produces an error that runs both ways and cancels over time. A forecast is there to reconcile against over many quarters, not to look best in one.

Channel matters more than timing

A great deal of effort goes into choosing the week to sell. In the sample above, the spread across channels - 310 USD to 400 USD, a 90 USD band - is wider than the drift within any single channel across the 30 days. Timing is not irrelevant: once a model's residual rate falls below roughly 42 percent of its launch price it tends to enter a faster decline, and that position is worth watching. But the channel structure sets the range, and timing only moves you inside that range.

Three steps to build the number

Three checks you can run yourself

Three misconceptions

Misconception one: the average is the stable choice.

Why it is wrong: the mean is pulled up by one or two retail highs, and settlement happens in the bulk channel. The median is insensitive to isolated high values, which is exactly the property this problem needs.

Misconception two: a low quote means a weak channel.

Why it is wrong: the low quote usually bundles freight, a reinspection clause and immediate settlement. It is a different bundle, not a worse price. Align the four specification fields before comparing.

Misconception three: grade the cosmetics and the price is set.

Why it is wrong: cosmetics settle the appearance half only. Within one grade, a battery one band lower, a non-genuine display or an active Activation Lock each triggers its own deduction - and half of those are readable on the device before the buyer's reinspection decides them for you.

Two boundaries

Boundary one: this page covers remarketing quote specifications and how to build a residual number. Acquisition cost allocation, instalment structure and deposit handling are a separate set of books and folding them in breaks the arithmetic above. LuckyMDM sits on the device side of that line - it reports device state, not commercial terms.

Boundary two: below 30 samples or a window shorter than 30 days, do not use the median either. With a small sample the median is simply whichever quote happened to land in the middle, and it moves when the collection window moves. Either extend the collection or label the figure an estimate rather than an observed value.

FAQ

Can I use one channel if I only sell to one buyer?

Yes, but the purpose changes. With one channel you are building a time series to measure drift. With several you are building a cross-section to measure channel spread. Either way, collect for at least 30 days.

Should a volatile price push the forecast lower?

Not by adjusting the number down. Record the volatility instead: models whose interquartile range exceeds 10 percent of the median go on their own line, so whoever reads the report can see where the uncertainty sits.

Is the gap between retail listing and the price I am paid a channel cost?

It is a channel cost only if you actually use that channel. The difference between a retail listing and your realised bulk price is not collectible in the bulk channel and should not be carried as an asset.

Does the buyer accept the hardware integrity report from the device?

That depends on whether the buyer runs its own reinspection. Its value is not that it replaces reinspection, but that you know the result before the unit ships, instead of arguing about grading afterwards.

Do I need separate samples per storage tier?

Yes. 128 GB and 256 GB need their own sample groups, because their distributions have different centres and a blended median is accurate for neither.

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