Compute for the Mean, Median, and Mode of the 15 values 40253530204030204010302010520(a) Mean(b) Mode(c) Median

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Answered: 40 25 35 30 20 40 30 20 40 10 30 20 10…

Math

Statistics

40 25 35 30 20 40 30 20 40 10 30 20 10 5 20 (a) Mean (b) Mode (c) Median

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

Section11.3: Shapes Of Distributions

Problem 7Q

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Question

Compute for the Mean, Median, and Mode of the 15 values

40
25
35
30
20
40
30
20
40
10
30
20
10
5
20
(a) Mean
(b) Mode
(c) Median

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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