Question

According to Chebyshev's theorem, the proportion of values from a data set that is further than 2 standard deviations from the mean is at most-----?

Answer 1

According to Chebyshev's theorem, the proportion of values from a data set that is further than 2 standard deviations from the mean is at most-----? <pre><font size = 4 color = "indigo"><b> All you have to do is learn Chebyshev's theorem in terms of k, then substitute 2 for k. Here is Chebyshev's theorem in terms of k: According to Chebyshev's theorem, the proportion of values from a data set that is further than {{{k}}} standard deviations from the mean is at most {{{1/k^2}}}. Then when you plug in 2 for k, you get: According to Chebyshev's theorem, the proportion of values from a data set that is further than {{{2}}} standard deviations from the mean is at most {{{1/2^2}}}. or writing {{{4}}} for {{{2^2}}}, According to Chebyshev's theorem, the proportion of values from a data set that is further than {{{2}}} standard deviations from the mean is at most {{{1/4}}}. Or if you prefer a decimal answer: According to Chebyshev's theorem, the proportion of values from a data set that is further than {{{2}}} standard deviations from the mean is at most {{{0.25}}}. Or if you prefer a percent answer: According to Chebyshev's theorem, the proportion of values from a data set that is further than {{{2}}} standard deviations from the mean is at most {{{25}}}%. Edwin</pre>

Answer 2

All you have to do is learn Chebyshev's theorem in terms of k, then substitute 2 for k. Here is Chebyshev's theorem in terms of k: According to Chebyshev's theorem, the proportion of values from a data set that is further than standard deviations from the mean is at most . Then when you plug in 2 for k, you get: According to Chebyshev's theorem, the proportion of values from a data set that is further than standard deviations from the mean is at most . or writing for , According to Chebyshev's theorem, the proportion of values from a data set that is further than standard deviations from the mean is at most . Or if you prefer a decimal answer: According to Chebyshev's theorem, the proportion of values from a data set that is further than standard deviations from the mean is at most . Or if you prefer a percent answer: According to Chebyshev's theorem, the proportion of values from a data set that is further than standard deviations from the mean is at most %. Edwin