(See Steps) According to Chebyshev’s Theorem, at least ¾ of the students’ scores should be within 2 standard deviations of the mean.  What actual score


Question: According to Chebyshev’s Theorem, at least ¾ of the students’ scores should be within 2 standard deviations of the mean.

What actual score range should at least ¾ of the students’ scores be in?

This distribution table isn’t detailed enough to determine exactly what percentage of students

scored in that range, but it does give enough information to answer the following questions.

According to the table, what is the lowest possible percentage of students that could have scored within the range you found above? How does that result show that Chebyshev’s Theorem is indeed satisfied here?

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