Miranda was coined by Shakespeare for the heroine of The Tempest (c. 1611) — from the Latin mirandus, meaning "worthy of admiration" or "to be wondered at." Miranda was raised on a magical island by her father Prospero and falls in love with the first man she sees outside her father — Ferdinand. Her famous exclamation: "O brave new world, that has such people in't!"
Miranda peaked in the U.S. The actress Miranda Cosgrove and the character Miranda Hobbes in Sex and the City are well known. The Supreme Court case Miranda v. Arizona (1966) gave us "Miranda rights."
Miranda does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
In Pythagorean numerology the letters of Miranda reduce to 6, The Nurturer. This is a traditional interpretive system, not a factual claim about the name.