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Home/Blog/Glossary/Coefficient of Variation (CV) and CV²: Demand Volatility Explained
GlossaryProcurement encyclopedia

Coefficient of Variation (CV) and CV²: Demand Volatility Explained

Calculate demand variability from non-zero demand sizes and use ADI with CV squared to interpret demand patterns.

Jainul Vaghasia/Published April 28, 2026/Updated September 4, 2026/4 min read

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Contents

  1. Why dimensionless matters
  2. CV thresholds in the SBC framework
  3. Why this matters for forecasting
  4. How LineNow uses CV²
  5. Worked example
  6. How operators should use CV²
  7. Common mistake
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The coefficient of variation is the ratio of the standard deviation of demand to its mean: CV = σ / μ. It is a dimensionless measure of how volatile an item's demand is relative to its average. CV² (CV squared) is used in the SBC framework as a threshold for classifying demand patterns.

Why dimensionless matters

Standard deviation alone is misleading because it scales with the magnitude of demand. An item that sells 1000 units/day with σ = 50 is less volatile (in proportional terms) than an item that sells 5 units/day with σ = 2. CV makes them comparable: 0.05 vs 0.4. The second has eight times the relative standard deviation; that alone does not quantify stockout risk.

CV thresholds in the SBC framework

The Syntetos–Boylan–Croston (SBC) demand classification uses two parameters:

  • ADI (Average Demand Interval): the average number of periods between non-zero demand observations
  • CV²: squared coefficient of variation of non-zero demand sizes

The four regimes are:

PatternADICV²Examples
Smooth≤ 1.32≤ 0.49Daily-sold staples; coffee beans, milk
Intermittent

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> 1.32
≤ 0.49
Slow-but-stable; specialty bitters, niche SKUs
Erratic≤ 1.32> 0.49Daily-sold but spiky; trending items, weather-driven
Lumpy> 1.32> 0.49Both rare and spiky; one-off bulk catering, B2B special orders

Why this matters for forecasting

The right forecasting method depends on the demand regime.

  • Smooth: simple exponential smoothing or a moving average works well. The future looks like the recent past.
  • Intermittent: Croston's method, or the Syntetos–Boylan Approximation (SBA) — the bias-corrected version. Compare against a simple baseline using held-out data.
  • Erratic: frequent demand with variable sizes; this is distinct from intermittent demand and needs its own forecast and buffer evaluation.
  • Lumpy: the hardest. Statistical methods underperform; supplement with operator intuition or external signals (events calendar, B2B order schedule).

Applying the wrong method can distort margin. A smooth-demand average applied to lumpy demand can over-order on top of the spikes and stockout in between.

How LineNow uses CV²

For every line item, every day, LineNow:

  1. Bins the last 30 days of sales into daily buckets.
  2. Computes ADI = lookback_days / days_with_sales.
  3. Computes CV² = variance(non-zero demand) / mean(non-zero demand)².
  4. Classifies the item into one of the four regimes.
  5. Uses SBA for intermittent and lumpy histories with sufficient observations; smooth and erratic histories use the window mean and daily variance. Fewer than six demand days use an insufficient-data fallback.

This classification can update daily. An item that drifts from smooth to erratic (e.g. it goes viral) should move to a more conservative replenishment policy instead of staying on the old average.

CV² classifies by demand pattern. ABC inventory analysis classifies by demand value — AUV = units sold × unit cost. Both dimensions together determine the right replenishment policy for each SKU: an important lumpy item may require explicit event context, while a smooth low-value item may use a simpler policy. The appropriate z-score depends on criticality and the cost of shortages, not the class alone. Neither dimension alone gets you there.

Worked example

Take two five-day series. Use sample variance for the non-zero sizes:

SeriesNon-zero demand sizesADICV² of non-zero sizes
9, 10, 10, 11, 109, 10, 10, 11, 105 / 5 = 10.5 / 10² = 0.005
0, 0, 0, 5, 455, 455 / 2 = 2.5800 / 25² = 1.28

Both all-day means are ten units, but the second series has intermittent timing and variable non-zero sizes. Under the stated thresholds it illustrates a lumpy pattern. Five days is too small for a dependable operating policy; LineNow’s production calculation would apply its insufficient-data fallback to both examples.

How operators should use CV²

CV² should not be shown as a vanity statistic. It should change the buying workflow:

  • smooth items can be ordered on a steady cadence
  • intermittent items need a forecast that understands zero-demand days
  • erratic items need higher safety stock or exception review
  • lumpy items need human context such as events, wholesale orders, or promotions

The practical output is not the CV² number itself. The practical output is the policy attached to the SKU: forecast method, safety stock level, review frequency, and whether the operator should approve the recommendation before it becomes a purchase order. Paste a few weeks of sales history into the free demand pattern classifier to see which regime each of your items falls into.

Common mistake

Do not calculate CV² on all days if your goal is SBC classification. SBC uses non-zero demand sizes for CV² and uses ADI to represent the spacing between sales. Mixing zero-demand days into CV² double-counts intermittency: the item looks more volatile because the gaps are already being measured by ADI.

That distinction matters for long-tail retail and restaurant ingredients. A specialty syrup that sells twice a week is not the same as a daily item that swings wildly. ADI and CV² separate those cases so replenishment does not overreact to the wrong signal.


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coefficient of variationCV squareddemand patternforecastingSBC framework

Written by Jainul Vaghasia

Jainul Vaghasia builds LineNow, the purchasing and inventory platform for SMBs. He writes from operator interviews, customer implementations, and the live purchasing workflows LineNow runs for restaurants, retailers, and ecommerce brands.

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