The distribution of income tends to be skewed to the right. Suppose you are running for a congressional seat and wish to portray that the average income in your district is low. Which measure of central tendency, the mean or the median, would you report? Why?
3. Describing Data Numerically
Mode
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Exam Time The following data represent the amount of time (in minutes) a random sample of eight students took to complete the online portion of an exam in Sullivan’s Statistics course. Compute the mean, median, and mode time.
60.5, 128.0, 84.6, 122.3, 78.9, 94.7, 85.9, 89.9
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Exam Scores The following data represent the homework scores for the material on Polynomial and Rational Functions in Sullivan’s College Algebra course.
(c) Determine the mean and median score.
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Planets The planets of the solar system have the numbers of moons listed below in order from the sun. (Pluto is not included because it was uninvited from the solar system party in 2006.) Include appropriate units whenever relevant.
0 0 1 2 17 28 21 8
c. Find the mode.
d. Find the range.
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Political Views A sample of 30 registered voters was surveyed in which the respondents were asked, “Do you consider your political views to be conservative, moderate, or liberal?” The results of the survey are shown in the table.
a. Determine the mode political view.
b. Do you think it would be a good idea to rotate the choices conservative, moderate, or liberal in the question? Why?
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True or False: A data set will always have exactly one mode.
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The Federal Bureau of Investigation classifies various larcenies. The data below represent the type of larcenies based on a random sample of 15 larcenies. What is the mode type of larceny?
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