SPC X‑bar & R Chart

Statistical Process Control · ASTM E2587

Subgroup Data (Means & Ranges)

SubgroupMean (x̄)Range (R)
items

Process Stability Index

Points out of control (%)--%
StableCautionUnstable
Awaiting input

Control Limits

X̄̄ (Center line)
--
UCL (X-bar)
--
LCL (X-bar)
--
Out‑of‑control flags
0

SPC Formulas

X̄̄ = (Σx̄i)/k    R̄ = (ΣRi)/k
UCL = X̄̄ + A2·R̄    LCL = X̄̄ − A2·R̄
UCLR = D4·R̄    LCLR = D3·R̄
Constants A2, D3, D4 from ASTM E2587 based on subgroup size n.
Out‑of‑control: beyond ±3σ limits, or 7+ consecutive points on same side of center.
X̄ Control Chart (with zone lines)
Range Chart (R chart preview)
Young Engineers Connect·InfraCalc