Statistical Reasoning for Everyday Life Plus MyLab Statistics with Pearson eText -- 18 Week Access Card Package (5th Edition)

5th Edition

ISBN: 9780135990278

Author: Bennett, Jeffrey O., Briggs, William L., Triola, Mario F.

Publisher: PEARSON

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Textbook Question

Chapter 4.2, Problem 14E

Boston Rainfall. The daily rainfall amounts (in inches) for Boston in a year consist of 365 values with these properties:

The mean daily rainfall amount is 0.083 inch.
The median of the daily rainfall amounts is 0 inches.
The minimum daily rainfall amount is 0 inches and the maximum is 1.48 inches.

a. How is it possible that the minimum of the 365 values is 0 inches and the median is also 0 inches?
b. Describe the distribution as symmetric, left-skewed, or right-skewed.
c. Can you determine the exact number of days that it rained? Can you conclude anything about the number of days that it rained? Explain.

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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Chapter 4.2, Problem 13E

Chapter 4.2, Problem 15E

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Chapter 4 Solutions

Statistical Reasoning for Everyday Life Plus MyLab Statistics with Pearson eText -- 18 Week Access Card Package (5th Edition)

Ch. 4.1 - Average. Define and distinguish among mean,...Ch. 4.1 - Outliers. What are outliers? Describe the effects...Ch. 4.1 - Average Confusion. Briefly describe at least two...Ch. 4.1 - Weighting. What is a weighted mean, and when is it...Ch. 4.1 - Does It Make Sense? For Exercises 59, determine...Ch. 4.1 - Does It Make Sense? For Exercises 59, determine...Ch. 4.1 - Mode. In an analysis of salaries paid to sales...Ch. 4.1 - Employment Data. A survey asked people their...Ch. 4.1 - Mean Wage. To find the mean wage of restaurant...Ch. 4.1 - Mean, Median, and Mode. In Exercises 1016, find...

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Solution Summary: The author explains that rainfall amounts for a year with 365 values have mean daily rainfall amount 0.083 inch and median 0 inches.

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