Considering the given histogram, we have that:
1. Chebyshev's Theorem.
2. At least 89%.
3. At least 75%.
What does Chebyshev’s Theorem state?
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 [tex]100(1 - \frac{1}{k^{2}})[/tex].
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 https://brainly.com/question/25303620
#SPJ1
