Question

Use the Histogram below to answer

Answer 1

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 $100(1 - \frac{1}{k^{2}})$.

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

#SPJ1