Source: Philosophy in a New Key (1942), Ch. 1, p. 1
“Far better an approximate answer to the right question, which is often vague, than an exact answer to the wrong question, which can always be made precise.”
The future of data analysis. Annals of Mathematical Statistics 33 (1), (1962), page 13.
Variant: "An approximate answer to the right question is worth a great deal more than a precise answer to the wrong question." "as the renowned statistician John Tukey once reportedly said," according to Super Freakonomics page 224.
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John Tukey 3
American mathematician 1915–2000Related quotes
Source: How to Become President (1940), Ch. 1 : Government jobs pay big money
Context: Who am I to talk? That’s a fair question, and one which deserves a better answer than I can give you. … Come to think of it, who are you? Whoever you are, I sympathize with you. I sympathize with everybody; that’s what I get for being a candidate myself. Let them call us nonentities. Who cares? A nonenitiy can be just as famous as anybody else if enough people know about him.
But let’s leave personalities out of this and just talk about me.

As quoted in: Ṭhānissaro (Bhikkhu.) (2004) Handful of leaves. Vol. 3, p. 80

“If you don't ask the right question, every answer seems wrong”
Herman E. Daly and Joshua Farley, in Ecological Economics: Principles and Applications. (2003), page 234. quoted in Beyond GDP Measuring progress, true wealth, and the well-being of nations http://ec.europa.eu/environment/beyond_gdp/key_quotes_en.html, European Commission:Environment

"Chaucer," http://books.google.com/books?id=LOdNAAAAcAAJ&q=%22The+question+of+common+sense+is+always+what+is+it+good+for+a+question+which+would+abolish+the+rose+and+be+answered+triumphantly+by+the+cabbage%22&pg=PA185#v=onepage North American Review (July 1870) http://books.google.com/books?id=sAVaov3zePMC&q=%22The+question+of+common+sense+is+always+what+is+it+good+for+a+question+which+would+abolish+the+rose+and+be+answered+triumphantly+by+the+cabbage%22&pg=PA173#v=onepage
My Study Windows (1871)

Nicholls v. Dowding and another (1815), 1 Stark. 81.