(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let k[itex]\geq[/itex]1. Show that, for any set ofnmeasurements, the fraction included in the interval [itex]\overline{y}[/itex]-ks to [itex]\overline{y}[/itex]+ks is at least (1-1/k^{2}).

[Hint: s^{2}= 1/(n-1)[[itex]\sum[/itex](y_{i}-[itex]\overline{y}[/itex])^{2}]. In this expression, replace all deviations for which the absolute value of (y_{i}-[itex]\overline{y}[/itex])[itex]\geq[/itex]ks with ks. Simplify.] This result is known as Tchebysheff's theorem.

2. Relevant equations are the above.

3. The attempt at a solution

I've got no clue what the problem wants, much less how to start a solution.

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# Statistics and Tchebysheff's theorum

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