Age Frequency Less than 20 4 More than 20 but less than 30 15 More than 30 but less than 40 16 More than 40 but less than 50 10 More than 50 but less than 60 3 More than 60 but less than 70 2 Determine the median and the mode for the above distribution.

Age Frequency Less than 20 4 More than 20 but less than 30 15 More than 30 but less than 40 16 More than 40 but less than 50 10 More than 50 but less than 60 3 More than 60 but less than 70 2 Determine the median and the mode for the above distribution.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 2SGR

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Question

Age	Frequency
Less than 20	4
More than 20 but less than 30	15
More than 30 but less than 40	16
More than 40 but less than 50	10
More than 50 but less than 60	3
More than 60 but less than 70	2

Determine the median and the mode for the above distribution.

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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