Suppose that the distribution of snake lengths in a certain park is not assumed to be...
Suppose that the distribution of snake lengths in a certain park is not assumed to be symmetric.
According to Chebyshev's Theorem, at least what percentage of snake lengths are within k=2.9 standard deviations of the mean?
Round your answer to the nearest whole number (percent).
Homework Answers
ANSWER:
Given that,
Chebyshev's rule holds for both populations and samples and can be mathematically summarized as follows:
Percentage of Values Surrounding the Mean = 1 - (1/k2)
Note: Chebyshev’s Theorem offers only a rough estimation but serves to establish the relationship that exists between the number of standard deviations from the mean and the percentage/proportion of the data surrounding the mean.\
so here k=2.9
putting value of k , we get
= 1 - (1 /(2.9) *(2.9) )
= 88.1
percentage =88.1%
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