Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 04 May 2015, 04:33

### 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

# What is the average (arithmetic mean) of all the even

Author Message
TAGS:
Senior Manager
Joined: 05 May 2003
Posts: 427
Location: Aus
Followers: 2

Kudos [?]: 5 [0], given: 0

What is the average (arithmetic mean) of all the even [#permalink]  24 Dec 2003, 13:09
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
What is the average (arithmetic mean) of all the even integers greater than 25 and less than 325?

(A) 144
(B) 167
(C) 175
(D) 206
(E) 212

Is there a shortcut to do this ?
Senior Manager
Joined: 05 May 2003
Posts: 427
Location: Aus
Followers: 2

Kudos [?]: 5 [0], given: 0

MartinMag wrote:
I vote for C also: ((325-25)/2)+25=175

How will you do it if the question is What is the average (arithmetic mean) of all the even integers greater than 24 and less than 325?
GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4313
Followers: 27

Kudos [?]: 216 [0], given: 0

all even integers greater than 24 and less than 325 is the same as your former question... Therefore the answer is the same
Senior Manager
Joined: 30 Aug 2003
Posts: 325
Location: dallas , tx
Followers: 1

Kudos [?]: 9 [0], given: 0

i got it till 150 .. but how wil you add even integers??
_________________

shubhangi

Senior Manager
Joined: 05 May 2003
Posts: 427
Location: Aus
Followers: 2

Kudos [?]: 5 [0], given: 0

Paul wrote:
all even integers greater than 24 and less than 325 is the same as your former question... Therefore the answer is the same

I want to know a easy way to these kind of problems without listing them.
GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4313
Followers: 27

Kudos [?]: 216 [0], given: 0

Hmmm, I think that a way to solve these kind of problems is to look at them this way:

If you take the average of (26 + 324)/2, you will get an average of 175
Then, you take the next pair of even integers at both extremes: (28 + 322)/2 and you will also get 175, you do this all the way until you get to the pair of integers in the center of the set: (174 + 176)/2 = 175. Hence, the answer resides in understanding that the average of all the numbers in the set is simply the spread of the extreme numbers ( ie 26 and 324) divided by 2. Hope I was clear enough.
Senior Manager
Joined: 05 May 2003
Posts: 427
Location: Aus
Followers: 2

Kudos [?]: 5 [0], given: 0

Paul wrote:
Hmmm, I think that a way to solve these kind of problems is to look at them this way:

If you take the average of (26 + 324)/2, you will get an average of 175
Then, you take the next pair of even integers at both extremes: (28 + 322)/2 and you will also get 175, you do this all the way until you get to the pair of integers in the center of the set: (174 + 176)/2 = 175. Hence, the answer resides in understanding that the average of all the numbers in the set is simply the spread of the extreme numbers ( ie 26 and 324) divided by 2. Hope I was clear enough.

Thank you. This helps. I was wondering whether I need to apply arithmetic progression for these problems. Now I understand this is more simpler than that.
Senior Manager
Joined: 11 Nov 2003
Posts: 355
Location: Illinois
Followers: 1

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

Yep. The rule is given in Kaplan. The average of evenly spaces numbers is the average of the smallest and the largest numbers. So all we need to do in our example is to find out the smallest possible and largest possible number in the range given to us. And then take the average of the two numbers.
Similar topics Replies Last post
Similar
Topics:
4 If x is the average (arithmetic mean) of 5 consecutive even 10 01 May 2012, 09:03
15 The average (arithmetic mean) of the even integers from 0 to 12 27 Oct 2009, 20:44
3 What is the average (arithmetic mean) of eleven consecutive 3 25 Jan 2008, 10:44
What is the average (arithmetic mean) of eleven consecutive 6 04 Apr 2007, 23:36
What is the average (arithmetic mean) height of the n people 4 10 Oct 2005, 11:15
Display posts from previous: Sort by