Respuesta :
Answer:
The minimum percentage of quiz scores between 5.8 and 8.2 is 75%.
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. 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].
In this question:
The mean is 7, and the standard deviation is 0.6.
What is the minimum percentage of quiz scores between 5.8 and 8.2?
7 - 2*0.6 = 5.8
7 + 2*0.6 = 8.2
Within 2 standard deviations of the mean, so, by the Chebyshev Theorem:
The minimum percentage of quiz scores between 5.8 and 8.2 is 75%.
