Replicate means are readable only after the spread gate is checked across rows. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The first replicate row passes inside the bound

Readings 10, 12, and 14 have mean 12 and half-range 2.

rˉ=12,h=22\bar r=12,\quad h=2\le2
Replicate boundsMean and spread are exact gates, not a statistics model.firstsecondthirdmeanspan

Equality at the spread limit still passes

Readings 12, 14, and 16 have half-range 2, exactly the limit 2.

rˉ=14,h=22\bar r=14,\quad h=2\le2
Replicate boundsMean and spread are exact gates, not a statistics model.firstsecondthirdmeanspan

A wider row fails before the mean is trusted

Readings 12, 16, and 20 still have a mean 16, but half-range 4 exceeds the limit.

rˉ=16,h=4>2\bar r=16,\quad h=4>2
Replicate boundsMean and spread are exact gates, not a statistics model.firstsecondthirdmeanspan