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What "on center" means: the 16 inches is measured center-to-center, not from edge to edge. Since a modern "2x4" stud is actually 1.5 inches thick, the clear gap between two studs is about 14.5 inches.
Ceiling joists follow the same logic and are usually 16 or 24 inches on center.
Why it matters for hanging things: Drywall alone holds very little. Anything heavy — a TV mount, shelving, cabinets, a mirror, or a large frame — should be anchored into studs. For a TV mount you'll usually want to hit two studs, which is exactly why mounting plates are sized for 16-inch spacing. If you can't reach a stud where you need one, use proper toggle bolts or heavy-duty drywall anchors rated for the weight.
Before you drill: studs often run alongside electrical wiring and plumbing, particularly near outlets, switches, and bathrooms or kitchens. Use a stud finder with AC detection and avoid drilling deep directly above or below an outlet.
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