Considering the given histogram, we have that:
1. Chebyshev's Theorem.
2. At least 89%.
3. At least 75%.
<h3>What does Chebyshev’s Theorem state?</h3>
When we have no information about the population distribution, Chebyshev's Theorem is used. It states that:
- At least 75% of the measures are within 2 standard deviations of the mean.
- At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by
.
We can see from the histogram that the distribution is not normal, hence Chebyshev's Theorem can be used.
-15 and 105 are within 3 standard deviations of the mean, hence the percentage is of at least 89%.
As stated in the bullet points, at least 75% of the measures are within 2 standard deviations of the mean.
More can be learned about Chebyshev's Theorem at brainly.com/question/25303620
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