use chebyshev's theorem to find what percent of th

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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

• use chebyshev's theorem to find what percent of th -

With
μ=295
σ=18²=324
k=(349-295)=295-241=54

Chebyshev's Theorem states:
P(|X-μ|≥k)≤σ²/k²
=P(|X-295|≥54)≤1/9
which means that
P(|X-295|<54)≥1-1/9=8/9
In words,
At most 8/9=88.9% of values will fall between 241 and 349.

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