use chebyshev's theorem to find what percent of th
posted by Anonymous on .
use chebyshev's theorem to find what percent of the values will fall between 241 and 349 for a data set with a mean of 295 and standard deviation of 18

With
μ=295
σ=18²=324
k=(349295)=295241=54
Chebyshev's Theorem states:
P(Xμ≥k)≤σ²/k²
=P(X295≥54)≤1/9
which means that
P(X295<54)≥11/9=8/9
In words,
At most 8/9=88.9% of values will fall between 241 and 349.