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Mode and Median mess [#permalink]
 11 Mar 2013, 13:14
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Hi! Great forum, found a lot of useful for me!
But still have one question. What are the exact definitions of Mode and Median?
Consider the following examples:
Mode
{1, 2, 2, 3, 3, 4, 4} What is mode? 2? 3? 4? Or maybe (2+3+4)/3?
Median
{-1, 0, 1} No problem, median is 0.
{1, 2, 3, 4} Is median (2+3)/2?
{1, 2, 2, 3, 3, 4} Here? 2, 3 or 2.5?
So misunderstanding can affect a solution. If somebody could make it clear, I'll appreciate it. Thanks!
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Intern
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Re: Mode and Median mess [#permalink]
11 Mar 2013, 14:12
Mode is the number that occur most often in the set of values. In this case, 2, 3 & 4 are mode. To calculate the median, arrange the set of numbers in ascending order & then: 1) if the set has even numbers take the 2 values in the middle & calculate the mean. 2) if the set has odd numbers, the center value is the median. gafych wrote:
Median
{-1, 0, 1} No problem, median is 0.
{1, 2, 3, 4} Is median (2+3)/2?
{1, 2, 2, 3, 3, 4} Here? 2, 3 or 2.5?
So misunderstanding can affect a solution. If somebody could make it clear, I'll appreciate it. Thanks!
In this case the medians are. 0. You are correct  (2+3)/2 You are correct (2+3)/2 = 2.5 You are almost correct
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Joined: 02 Sep 2009
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Re: Mode and Median mess [#permalink]
12 Mar 2013, 07:07
gafych wrote: Hi! Great forum, found a lot of useful for me!
But still have one question. What are the exact definitions of Mode and Median?
Consider the following examples:
Mode
{1, 2, 2, 3, 3, 4, 4} What is mode? 2? 3? 4? Or maybe (2+3+4)/3?
Median
{-1, 0, 1} No problem, median is 0.
{1, 2, 3, 4} Is median (2+3)/2?
{1, 2, 2, 3, 3, 4} Here? 2, 3 or 2.5?
So misunderstanding can affect a solution. If somebody could make it clear, I'll appreciate it. Thanks! MODEThe mode is the number that occurs the most frequently in a data set. For example mode of the set {2, 3, 4, 4} is 4.
Set can have more than one mode, for example set {2, 2, 3, 3, 5} has two modes 2 and 3.
If every number in the set occurs an equal number of times, then the set has no mode. For example set {1, 2, 3} has no mode.For example: {1, 2, 4, 8, 8, 8, 9, 10, 10, 10, 11} - has two modes 8 and 10; {1, 2, 3, 4, 5, 6} - has no mode, since every number in the set occurs an equal number of times; {2, 2, 4, 4, 6, 6} - has no mode, since every number in the set occurs an equal number of times. MEDIANThe median of a set with odd # of terms is just a middle term (when ordered in ascending/descending order). The median of a set with even # of terms is the average of two middle terms (when ordered in ascending/descending order). Hope it helps.
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Re: Mode and Median mess
[#permalink]
12 Mar 2013, 07:07
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