It is currently 22 Oct 2017, 20:17

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Mode and Median mess

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Intern
Joined: 27 Oct 2012
Posts: 2

Kudos [?]: 2 [1], given: 0

Mode and Median mess [#permalink]

### Show Tags

11 Mar 2013, 13:14
1
KUDOS
1
This post was
BOOKMARKED
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!

Kudos [?]: 2 [1], given: 0

Intern
Joined: 17 Jun 2007
Posts: 21

Kudos [?]: 2 [0], given: 4

Re: Mode and Median mess [#permalink]

### Show Tags

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

Kudos [?]: 2 [0], given: 4

Math Expert
Joined: 02 Sep 2009
Posts: 41912

Kudos [?]: 129372 [0], given: 12197

Re: Mode and Median mess [#permalink]

### Show Tags

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!

MODE
The 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.

MEDIAN
The 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.
_________________

Kudos [?]: 129372 [0], given: 12197

Re: Mode and Median mess   [#permalink] 12 Mar 2013, 07:07
Display posts from previous: Sort by

# Mode and Median mess

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.