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major_maths
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Homework Statement
Let k[itex]\geq[/itex]1. Show that, for any set of n measurements, the fraction included in the interval [itex]\overline{y}[/itex]-ks to [itex]\overline{y}[/itex]+ks is at least (1-1/k2).
[Hint: s2 = 1/(n-1)[[itex]\sum[/itex](yi-[itex]\overline{y}[/itex])2]. In this expression, replace all deviations for which the absolute value of (yi-[itex]\overline{y}[/itex])[itex]\geq[/itex]ks with ks. Simplify.] This result is known as Tchebysheff's theorem.
2. Homework Equations are the above.
The Attempt at a Solution
I've got no clue what the problem wants, much less how to start a solution.