Answered: n 2012, the mean rate of violent…

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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Question content area bottom

Part 1

a. Using the Empirical Rule, between what two values would you expect to find about 95% of the rates?

Approximately 95% of the observations fall within the interval

left parenthesis nothing comma nothing right parenthesisenter your response here,enter your response here.

(Type whole numbers.)

Part 2

b. Using the Empirical Rule, between what two values would you expect to find about 68% of the rates?

Approximately 68% of the observations fall within the interval

left parenthesis nothing comma nothing right parenthesisenter your response here,enter your response here.

(Type whole numbers.)

Part 3

c. If a metropolitan area had a violent crime rate of

378378

crimes per 100,000 people, would this be considered this unusual? Explain.

No,

378378

would not be considered unusual because it is more than two standard deviations from the mean.

Yes,

378378

would be considered unusual because it falls within one standard deviation of the mean.

Yes,

378378

would be considered unusual because it is more than two standard deviations from the mean.

No,

378378

would not be considered unusual because it falls within one standard deviation of the mean.

Part 4

d. If a metropolitan area had a violent crime rate of

6868

crimes per 100,000 people, would this be considered this unusual? Explain.

Yes,

6868

would be considered unusual because it is more than two standard deviations below the mean.

No,

6868

would not be considered unusual because it is one standard deviation above the mean.

No,

6868

would not be considered unusual because it is not more than two standard deviations from the mean.

Yes,

6868

would be considered unusual because it is one standard deviation below the mean.

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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