Answered: Consider the following two…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 25PFA

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Question

Consider the following two distributions of total PAC contributions given to five members of Congress:

Distribution 1:$20,000, $40,000, $60,000, $80,000, $100,000

Distribution 2:$20,000, $40,000, $60,000, $80,000, $1,000,000

Compute the mode(s), median, and mean for each. Verbally interpret each figure, and compare the two distributions.

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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