It is currently 12 Dec 2017, 03:40

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Twenty-five adults reported the amount of time each spent st

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

Hide Tags

Expert Post
2 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42560

Kudos [?]: 135317 [2], given: 12686

Twenty-five adults reported the amount of time each spent st [#permalink]

Show Tags

New post 08 May 2013, 07:02
2
This post received
KUDOS
Expert's post

Kudos [?]: 135317 [2], given: 12686

1 KUDOS received
Manager
Manager
avatar
Joined: 11 Jun 2010
Posts: 83

Kudos [?]: 18 [1], given: 17

Re: Twenty-five adults reported the amount of time each spent st [#permalink]

Show Tags

New post 16 May 2013, 20:37
1
This post received
KUDOS
1. To find the least possible mean the sum of all hours exercised must be the minimum.
For 0-1 hours lets assume all 5 exercised the minimum possible of just over 0 hours and same for all bars.
so SUM of hours exercised = 0*5 + 1*3+2*2+3*3+4*4+5*5+0+0+8*1+0+10*0 = 78
# respondents = 25
average = 78/25 = 3.12

2. # respondents who exercised on average <0.5 hours per day
If Avg hours exercised = 0.5 hours per day the Total hours exercised during the week will be 0.5*7 OR 3.5 hours/week
We need to count respondents who exercise below 3.5 hours per week.
That will include all in 0-1 hour, 1-2 hr, 2-3 hour and since 3.5 lies in between 3-4 band, we can take 2 cases:
CAse 1: where we assume all 4 in 3-4 years exercise MORE than 3.5 hours
Total # respondednts in that case = 5 + 3 + 2 + 4 = 14 (this is the maximum)
CAse 2: where we assume all 4 in 3-4 years exercise LESS than 3.5 hours
Total # respondednts in that case = 5 + 3 + 2 = 10 (this is the minimum)
Range od 10-14 respondents

Kudos [?]: 18 [1], given: 17

Intern
Intern
avatar
Joined: 09 Nov 2013
Posts: 10

Kudos [?]: 10 [0], given: 17

Re: Twenty-five adults reported the amount of time each spent st [#permalink]

Show Tags

New post 03 May 2014, 08:03
1
This post was
BOOKMARKED
srcc25anu wrote:
1. To find the least possible mean the sum of all hours exercised must be the minimum.
For 0-1 hours lets assume all 5 exercised the minimum possible of just over 0 hours and same for all bars.
so SUM of hours exercised = 0*5 + 1*3+2*2+3*3+4*4+5*5+0+0+8*1+0+10*0 = 78
# respondents = 25
average = 78/25 = 3.12

2. # respondents who exercised on average <0.5 hours per day
If Avg hours exercised = 0.5 hours per day the Total hours exercised during the week will be 0.5*7 OR 3.5 hours/week
We need to count respondents who exercise below 3.5 hours per week.
That will include all in 0-1 hour, 1-2 hr, 2-3 hour and since 3.5 lies in between 3-4 band, we can take 2 cases:
CAse 1: where we assume all 4 in 3-4 years exercise MORE than 3.5 hours
Total # respondednts in that case = 5 + 3 + 2 + 4 = 14 (this is the maximum)
CAse 2: where we assume all 4 in 3-4 years exercise LESS than 3.5 hours
Total # respondednts in that case = 5 + 3 + 2 = 10 (this is the minimum)
Range od 10-14 respondents


Thanks for the explanation! I fully understand the solution, but it took me almost 4 minutes to do it. Anyone know of a faster way to solve this question?

Thanks!

Kudos [?]: 10 [0], given: 17

1 KUDOS received
Intern
Intern
User avatar
Joined: 20 May 2014
Posts: 37

Kudos [?]: 40 [1], given: 16

Location: India
Schools: IIMC
GMAT 1: 700 Q51 V32
Re: Twenty-five adults reported the amount of time each spent st [#permalink]

Show Tags

New post 23 May 2014, 05:16
1
This post received
KUDOS
Hi Ashsim,

Part 1 Solution:

Sum of [Number of respondents * Least value of time spent in the range]
= 5*0 + 3*1 + 2*2 + 4*3 + 4*4 + 5*5 + 1*8 + 1*10
= 78

Average = \(\frac{78}{25} = 3.12\)

Part 2 Solution:

Less than 0.5 hr per day = less than 3.5 hr per week

Minimum number = 5 + 3 + 2 + 0 = 10 (When respondents spending time between 3 and 4 have values greater than 3.5)
Maximum Number = 5 + 3 + 2 + 4 = 14 (When respondents spending time between 3 and 4 have values less than 3.5)

I hope it could be solved in 2 mins :lol:

Rgds,
Rajat
_________________

If you liked the post, please press the'Kudos' button on the left

Kudos [?]: 40 [1], given: 16

Manager
Manager
avatar
Joined: 28 Dec 2013
Posts: 76

Kudos [?]: 5 [0], given: 3

Re: Twenty-five adults reported the amount of time each spent st [#permalink]

Show Tags

New post 06 Aug 2014, 12:01
rajatjain14 wrote:
Hi Ashsim,

Part 1 Solution:

Sum of [Number of respondents * Least value of time spent in the range]
= 5*0 + 3*1 + 2*2 + 4*3 + 4*4 + 5*5 + 1*8 + 1*10
= 78

Average = \(\frac{78}{25} = 3.12\)

Part 2 Solution:

Less than 0.5 hr per day = less than 3.5 hr per week

Minimum number = 5 + 3 + 2 + 0 = 10 (When respondents spending time between 3 and 4 have values greater than 3.5)
Maximum Number = 5 + 3 + 2 + 4 = 14 (When respondents spending time between 3 and 4 have values less than 3.5)

I hope it could be solved in 2 mins :lol:

Rgds,
Rajat


Question : How do we know that less than 0.5 hr per day = less than 3.5 hr per week?

Kudos [?]: 5 [0], given: 3

Manager
Manager
User avatar
B
Joined: 12 Nov 2016
Posts: 80

Kudos [?]: 2 [0], given: 38

Location: Kazakhstan
Concentration: Entrepreneurship, Finance
Schools: Sloan (S)
GMAT 1: 620 Q36 V39
GPA: 3.2
Re: Twenty-five adults reported the amount of time each spent st [#permalink]

Show Tags

New post 15 Nov 2017, 01:49
sagnik242 wrote:
rajatjain14 wrote:
Hi Ashsim,

Part 1 Solution:

Sum of [Number of respondents * Least value of time spent in the range]
= 5*0 + 3*1 + 2*2 + 4*3 + 4*4 + 5*5 + 1*8 + 1*10
= 78

Average = \(\frac{78}{25} = 3.12\)

Part 2 Solution:

Less than 0.5 hr per day = less than 3.5 hr per week

Minimum number = 5 + 3 + 2 + 0 = 10 (When respondents spending time between 3 and 4 have values greater than 3.5)
Maximum Number = 5 + 3 + 2 + 4 = 14 (When respondents spending time between 3 and 4 have values less than 3.5)

I hope it could be solved in 2 mins :lol:

Rgds,
Rajat


Question : How do we know that less than 0.5 hr per day = less than 3.5 hr per week?

assuming 7 day week (not weekend break :)) 7*0.5 = 3.5

Kudos [?]: 2 [0], given: 38

Re: Twenty-five adults reported the amount of time each spent st   [#permalink] 15 Nov 2017, 01:49
Display posts from previous: Sort by

Twenty-five adults reported the amount of time each spent st

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

Moderators: chetan2u, Bunuel



GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.