I am attempting to make three data sets that conform to the following expectations using as many or as few numbers in each data set. Data Set #1: Make the mean larger than the median but the mode less than the median (Mode < Median < Mean). Data Set #2: Make the mean larger than the median and the mode larger than the mean (Median < Mean < Mode). Data Set #3: Make the mean less than the median and the mode less than the mean (Median > Mean > Mode). How do I compute the mean, median, and mode for each data set. How do would I show all calculations?

I am attempting to make three data sets that conform to the following expectations using as many or as few numbers in each data set. Data Set #1: Make the mean larger than the median but the mode less than the median (Mode < Median < Mean). Data Set #2: Make the mean larger than the median and the mode larger than the mean (Median < Mean < Mode). Data Set #3: Make the mean less than the median and the mode less than the mean (Median > Mean > Mode). How do I compute the mean, median, and mode for each data set. How do would I show all calculations?

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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Question

I am attempting to make three data sets that conform to the following expectations using as many or as few numbers in each data set.

Data Set #1: Make the mean larger than the median but the mode less than the median (Mode < Median < Mean).
Data Set #2: Make the mean larger than the median and the mode larger than the mean (Median < Mean < Mode).
Data Set #3: Make the mean less than the median and the mode less than the mean (Median > Mean > Mode).

How do I compute the mean, median, and mode for each data set. How do would I show all calculations?

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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