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On a cumulative flow diagram, what do the width and the slope of a band tell you?

level: middleimportance: should knowfreq 44%

answer

  1. Stacked running totals over time
  2. Geometry carries all the meaning
  3. Vertical thickness is one measure
  4. Steepness is a different measure
  5. A spreading band means accumulation

basics

~20 s

Each band on a cumulative flow diagram is one workflow stage. Vertical thickness is the work in progress sitting in that stage; the slope of its curves is throughput. A band that widens over time is an accumulating queue.

solid answer

~50 s

A cumulative flow diagram plots running totals of items that have reached each stage, so the top curve is everything that arrived and the bottom curve is everything delivered. The area between two adjacent curves is a **band** belonging to one stage, and the reading is geometric. **Vertical thickness** is the work in progress currently in that stage. **Slope** is the rate at which items crossed that boundary — throughput — so a flattening curve means completions there have stalled. The **horizontal distance** between the top and bottom curves approximates how long items are taking end to end. A band that steadily widens means arrivals into that stage are outrunning departures, which locates an accumulating queue. What the chart cannot show is age: a thick band looks the same whether its items arrived yesterday or a month ago.

go deeper

for a junior

Recall the three basic reads before interpreting anything: thickness is work in progress, slope is throughput, horizontal distance is time in the system. Naming the axes out loud first is a good habit here.

for a middle

Explain why a widening band means arrivals exceed departures, and combine two reads — a spreading band beside a flattening delivery curve — into a single statement about where the queue sits.

for a senior

Show judgement about the chart's limits: it lags, it aggregates, and it hides item age. Be ready to say which follow-up evidence you would gather before acting on a shape you see.

for a principal

Own the reporting question: how a cumulative flow diagram is drawn — which columns are split or merged — changes what it reveals. Be ready to discuss what a chart tuned to look flat conceals.

## What the chart actually plots A cumulative flow diagram stacks running totals. For every date on the horizontal axis it plots, for each stage of the workflow, the cumulative number of items that have *reached that stage or gone past it*. The topmost curve is everything that has arrived; the bottom curve is everything that has been delivered. Because the totals only ever accumulate, no curve can fall — a curve that dips means items were removed from the board, which is a data problem worth chasing on its own. The coloured area between two adjacent curves is a **band**, and each band belongs to one stage. Nearly everything the chart tells you is read off the geometry of those bands rather than off any single plotted point. ## Reading the geometry | Geometry | What it means | What it usually signals | |---|---|---| | Vertical thickness of a band | items currently in that stage — work in progress | a thick band is a lot of unfinished work parked in one place | | Slope of a curve | the rate items crossed that boundary — throughput | a flattening curve means completions have stalled there | | Horizontal gap between top and bottom curve | roughly how long an item took end to end | a widening gap means the wait is growing | | A band widening over time | arrivals into the stage outrunning departures | a queue is accumulating in front of that stage | | A band narrowing | departures outrunning arrivals | the stage is draining, whether by finishing or by starving | | A flat band top | nothing entering the stage | upstream has stopped feeding it | The three primary reads are worth memorising in that order: **thickness is work in progress, slope is throughput, horizontal distance is time in the system.** An interviewer showing you a chart is almost always asking you to name one of those three and say what it implies. ## A worked read Over one 3-week window on a construction-site safety product, the band for the verification stage grew from 3 items wide to 17 items wide across 11 days, while the band for active development held steady at about 6. The bottom curve — delivered items — flattened noticeably over the same stretch. That composite tells a specific story. Development kept starting and passing on work at its usual rate, so its own band stayed constant. Verification accepted that work but stopped passing it out, so its band spread. Delivery flattened because delivery is downstream of verification. The constraint is located at verification, and the widening band, not the flat delivery line, is the piece of evidence that locates it — the flat delivery line only says something is wrong somewhere. The same shape has more than one cause, and the chart does not choose between them: a reviewer may be absent, the stage may depend on a shared environment, or the items may be arriving in a state that fails verification. The chart narrows the search to one stage; it does not name the reason. ## Honest limitations - **It is a lagging, aggregate picture.** Every point is a running total, so a fresh problem takes days to become visible as a shape. - **It says nothing about any individual item.** Band thickness is a count, and the horizontal gap is an approximation across the population. You cannot point at a dot and say which item it is, because there are no dots. - **It hides age.** A band of 17 items looks identical whether those items arrived yesterday or have been sitting for a month. Detecting stalled individual work needs a different chart. - **It is sensitive to how the board is drawn.** A stage split into two columns splits its band; a queue column merged into an active column hides the queue inside a thicker band. - **Curves that fall are a warning about the data, not about the flow.** Items deleted, restarted or moved backwards distort the totals, and the chart cannot distinguish those from real progress. ## What to say when handed one 1. Orient first: name the axes, identify the top and bottom curves, and state what a band means before interpreting anything. 2. Read thickness and slope separately, out loud, rather than jumping to a conclusion about the team. 3. Locate the widest and the fastest-widening band and say why that is where the queue is. 4. Say explicitly what the chart cannot tell you — which item, whose fault, and how old the oldest work is. 5. Treat it as a prompt for the next question rather than an answer in itself; the value is that it points at one stage instead of the whole workflow.

  • One band widens for three weeks while the band above it stays constant. What do you investigate?
    The widening stage, not the one above it. A constant band upstream means that stage is passing work on at its usual rate; the widening band is accepting work faster than it releases it. The chart locates the queue but not its cause, so the next step is looking at what that stage waits on.
  • A curve on the diagram drops downward. What does that mean?
    It is a data problem rather than a flow signal. The curves are cumulative totals, so they can only rise. A fall means items were deleted, moved backwards, or removed from the board, and the totals no longer describe the same population — worth fixing before drawing any conclusion from the chart.
  • Why can this chart not tell you which item is in trouble?
    Because it plots counts, not items. Every band is an aggregate, so a band 17 items thick reveals nothing about how long any of those items has been sitting there. Detecting a stalled individual item needs a chart of unfinished work plotted against elapsed age instead.

saying these in an interview costs you the question

  • Reads band thickness as throughput
  • Reads a steep curve as high work in progress
  • Treats a widening band as more work being finished
  • Claims the chart identifies which item is stuck
  • Ignores a falling curve instead of questioning the data