The distributions of income in the United States is strongly skewed to the right. Which of the following is true? The median income is smaller than the mean income. The median income is larger than the mean income. The median income is equal to the mean income. There is not enough information to compare the median and mean values.

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Answered: The distributions of income in the…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 23PFA

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The distributions of income in the United States is strongly skewed to the right. Which of the following is true?

		The median income is smaller than the mean income.
		The median income is larger than the mean income.
		The median income is equal to the mean income.
		There is not enough information to compare the median and mean values.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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