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

 It is currently 11 Dec 2018, 11:19

### 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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Free GMAT Prep Hour

December 11, 2018

December 11, 2018

09:00 PM EST

10:00 PM EST

Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.
• ### The winning strategy for 700+ on the GMAT

December 13, 2018

December 13, 2018

08:00 AM PST

09:00 AM PST

What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.

# H is a set of positive numbers. The median of H-Statistics-PS

Author Message
Director
Joined: 08 Jun 2013
Posts: 515
Location: India
GMAT 1: 200 Q1 V1
GPA: 3.82
WE: Engineering (Other)
H is a set of positive numbers. The median of H-Statistics-PS  [#permalink]

### Show Tags

11 Aug 2018, 08:32
1
1
00:00

Difficulty:

55% (hard)

Question Stats:

14% (00:09) correct 86% (01:41) wrong based on 7 sessions

### HideShow timer Statistics

H is a set of positive numbers. The median of H is greater than the mean of H. Which of the following must be true?

I) At least 50% of the numbers in H are smaller than the median.

II) Less than 50% of the numbers in H are greater than the median.

III) The median of H is greater than the average of the largest and smallest numbers in H.

A) I only

B) II only

C) III only

D) I and III only

E) None of the above

_________________

It seems Kudos button not working correctly with all my posts...

Please check if it is working with this post......

is it?....

Anyways...Thanks for trying

Math Expert
Joined: 02 Aug 2009
Posts: 7099
Re: H is a set of positive numbers. The median of H-Statistics-PS  [#permalink]

### Show Tags

11 Aug 2018, 09:18
H is a set of positive numbers. The median of H is greater than the mean of H. Which of the following must be true?

I) At least 50% of the numbers in H are smaller than the median.
If the set has odd numbers, less than 50 % are below or above median.
If set has even numbers, half the number are above and half below the median.
So NOT 'must be true'

II) Less than 50% of the numbers in H are greater than the median.
Same as (I)
Insufficient

III) The median of H is greater than the average of the largest and smallest numbers in H.
If in AP, it is equal to the average..
So NO again

E) None of the above
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Math Expert
Joined: 02 Sep 2009
Posts: 51100
Re: H is a set of positive numbers. The median of H-Statistics-PS  [#permalink]

### Show Tags

11 Aug 2018, 12:22
Harshgmat wrote:
H is a set of positive numbers. The median of H is greater than the mean of H. Which of the following must be true?

I) At least 50% of the numbers in H are smaller than the median.

II) Less than 50% of the numbers in H are greater than the median.

III) The median of H is greater than the average of the largest and smallest numbers in H.

A) I only

B) II only

C) III only

D) I and III only

E) None of the above

Discussed here: https://gmatclub.com/forum/z-is-a-set-o ... 74570.html
_________________
Re: H is a set of positive numbers. The median of H-Statistics-PS &nbs [#permalink] 11 Aug 2018, 12:22
Display posts from previous: Sort by