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The hand railing needs to be installed at a uniform distance, measured from the nosing of the tread, not less than 34 inches and not more than 38 inches. Residential stair requires at least a handrail on one side of stair. If the railing continues, past the top of the stair, onto a balcony, the railing height required there, is 36 inches minimum.
Commercial stair requires both sides. Some other important requirements must be met if your stair is for a commercial project. Let me know, and I can supply that information.
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Architect
Licensed Architect- 12 years, L.E.E.D. AP, Former Remodeling Contractor- 10 years