The average weight of an elephant is 6.426.42 tons with a standard deviation of 1.071.07 tons. Use the Empirical Rule to answer the following questions. What weight is 33 standard deviations below the mean? AnswerWhat weight is 22 standard deviations below the mean? AnswerWhat weight is 11 standard deviation below the mean? AnswerWhat weight is the mean? AnswerWhat weight is 11 standard deviation above the mean? AnswerWhat weight is 22 standard deviations above the mean? AnswerWhat weight is 33 standard deviations above the mean? AnswerBetween what two values do 6868% of elephants weigh? Between Answer and AnswerWhat is the probability that a randomly selected elephant will weight at least 8.568.56 tons? Answer%What is the probability that a randomly selected elephant will have a weight that is at most 6.426.42 tons? Answer%What is the probability that a randomly selected elephant will weigh between 3.213.21 and 9.639.63 tons? Answer%Would a weight of 33 tons be an unusual weight for an elephant?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The average weight of an elephant is 6.426.42 tons with a standard deviation of 1.071.07 tons. Use the Empirical Rule to answer the following questions.

What weight is 33 standard deviations below the mean? Answer
What weight is 22 standard deviations below the mean? Answer
What weight is 11 standard deviation below the mean? Answer
What weight is the mean? Answer
What weight is 11 standard deviation above the mean? Answer
What weight is 22 standard deviations above the mean? Answer
What weight is 33 standard deviations above the mean? Answer
Between what two values do 6868% of elephants weigh? Between Answer and Answer
What is the probability that a randomly selected elephant will weight at least 8.568.56 tons? Answer%
What is the probability that a randomly selected elephant will have a weight that is at most 6.426.42 tons? Answer%
What is the probability that a randomly selected elephant will weigh between 3.213.21 and 9.639.63 tons? Answer%
Would a weight of 33 tons be an unusual weight for an elephant?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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