Suppose I want to know how many household pets Americans have owned in their lifetimes before they turn 30 years old. I select a sample of 3 Americans, each of whom is 30 years old, and ask them how many pets they have owned in their lifetimes. The first person I ask has owned 6 animals, the second person has owned 2, and the third person has owned 11. Please answer the following questions based on these data. Calculate and report the variance for this distribution. What is the standard deviation? Show me how you calculated it. What does the standard deviation tell you for this example? When calculating the standard deviation, you had to decide whether to use N or n - 1 in the denominator. Which did you use, and why? Calculate and report the range for this distribution. Please show me how you calculated the range. What are the three words that describe a normal distribution? What do each of them mean? Draw a normal distribution and explain the “66-95-99.7 rule.”

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Answered: Suppose I want to know how many…

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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Suppose I want to know how many household pets Americans have owned in their lifetimes before they turn 30 years old. I select a sample of 3 Americans, each of whom is 30 years old, and ask them how many pets they have owned in their lifetimes. The first person I ask has owned 6 animals, the second person has owned 2, and the third person has owned 11. Please answer the following questions based on these data.

Calculate and report the variance for this distribution.

What is the standard deviation? Show me how you calculated it.

What does the standard deviation tell you for this example?

When calculating the standard deviation, you had to decide whether to use N or n - 1 in the denominator. Which did you use, and why?

Calculate and report the range for this distribution. Please show me how you calculated the range.

What are the three words that describe a normal distribution? What do each of them mean?

Draw a normal distribution and explain the “66-95-99.7 rule.”

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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