GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 21 Feb 2019, 08:03

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 February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar

February 21, 2019

February 21, 2019

10:00 PM PST

11:00 PM PST

Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.
• Free GMAT RC Webinar

February 23, 2019

February 23, 2019

07:00 AM PST

09:00 AM PST

Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT

You are given the data set {14, 35, 44, 47, 49, 49, 50, 51, 56, N}, wh

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 53063
You are given the data set {14, 35, 44, 47, 49, 49, 50, 51, 56, N}, wh  [#permalink]

Show Tags

31 Jan 2019, 00:42
00:00

Difficulty:

35% (medium)

Question Stats:

64% (01:08) correct 36% (00:46) wrong based on 33 sessions

HideShow timer Statistics

You are given the data set {14, 35, 44, 47, 49, 49, 50, 51, 56, N}, where N is an integer not necessarily greater than 56. What is the value of N?

(1) The mean of the data set is 44.3

(2) The median of the data set is 48.5

_________________
SVP
Joined: 18 Aug 2017
Posts: 1894
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: You are given the data set {14, 35, 44, 47, 49, 49, 50, 51, 56, N}, wh  [#permalink]

Show Tags

31 Jan 2019, 02:16
Bunuel wrote:
You are given the data set {14, 35, 44, 47, 49, 49, 50, 51, 56, N}, where N is an integer not necessarily greater than 56. What is the value of N?

(1) The mean of the data set is 44.3

(2) The median of the data set is 48.5

#1
sum= 395+x
avg = 44.3
total digits = 10
so x= 48
sufficient
#2
median is 48.5
the median = x+49= 48.5*2
x= 48
sufficient
IMO D
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2593
Re: You are given the data set {14, 35, 44, 47, 49, 49, 50, 51, 56, N}, wh  [#permalink]

Show Tags

31 Jan 2019, 06:44

Solution

Given:
• A data set {14, 35, 44, 47, 49, 49, 50, 51, 56, N}, where N is an integer

To find:
• The value of N

Analysing Statement 1
“The mean of the data set is 44.3”
• Mean of the set = $$\frac{(14 + 35 + 44 + 47 + 49 + 49 + 50 + 51 + 56 + N)}{10} = 44.3$$
o Implies, N = 443 – (14 + 35 + 44 + 47 + 49 + 49 + 50 + 51 + 56)

• Thus, we can find a unique value of N.

Therefore, statement 1 is sufficient

Analysing Statement 2
“The median of the set is 48.5”
• The median of the given set = $$\frac{(5^{th} term + 6^{th} term)}{2}$$
• One of the middle terms = 49, for any value of N
• Thus, $$48.5 = \frac{(49 + x)}{2}$$
o Implies, x = 48
o Since, there is no 48 in the set, the value of N must be 48

Therefore, statement 2 is sufficient

Hence, the correct answer is Option D.

_________________

| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Re: You are given the data set {14, 35, 44, 47, 49, 49, 50, 51, 56, N}, wh   [#permalink] 31 Jan 2019, 06:44
Display posts from previous: Sort by