Answered: A yoga teacher collected data on the…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 1CA

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Question

A yoga teacher collected data on the ages of the people in her class. The median is 33 years old. The mean is 40 years old. The mode is 51 years old. Which of the following statements must be true? (Select all that apply.)

Each person in the class is exactly 33, 40, or 51 years old.The oldest person in the class is exactly 51 years old.At least half of the people in the class are 33 years old or younger.Most people in the class are exactly 40 years old.

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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