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

It is currently 19 Oct 2014, 21:10

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

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

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Expert Post
2 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23324
Followers: 3599

Kudos [?]: 28574 [2] , given: 2803

Twenty-five adults reported the amount of time each spent st [#permalink] New post 08 May 2013, 06:02
2
This post received
KUDOS
Expert's post
1 KUDOS received
Manager
Manager
avatar
Joined: 11 Jun 2010
Posts: 84
Followers: 0

Kudos [?]: 9 [1] , given: 17

Re: Twenty-five adults reported the amount of time each spent st [#permalink] New post 16 May 2013, 19:37
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
Intern
Intern
avatar
Joined: 09 Nov 2013
Posts: 10
Followers: 0

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

Re: Twenty-five adults reported the amount of time each spent st [#permalink] New post 03 May 2014, 07:03
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!
1 KUDOS received
Intern
Intern
User avatar
Joined: 20 May 2014
Posts: 37
Location: India
Schools: IIMC
GMAT 1: 700 Q51 V32
Followers: 0

Kudos [?]: 20 [1] , given: 16

Re: Twenty-five adults reported the amount of time each spent st [#permalink] New post 23 May 2014, 04:16
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

Intern
Intern
avatar
Joined: 28 Dec 2013
Posts: 37
Followers: 0

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

Re: Twenty-five adults reported the amount of time each spent st [#permalink] New post 06 Aug 2014, 11:01
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?
Re: Twenty-five adults reported the amount of time each spent st   [#permalink] 06 Aug 2014, 11:01
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic Survey: 1st practice score, final score, time spent studying henriso 1 19 Oct 2013, 15:51
Time spent in undergrad milano 1 28 Nov 2009, 11:51
Time spent on each CR question just.doit 6 26 Aug 2007, 07:14
Of the total amount that Jill spent on a shopping trip, dinesh8 1 06 May 2006, 05:05
How much was spent for a certian amount of a fabric? (1) The andrecrompton 9 01 May 2006, 09:30
Display posts from previous: Sort by

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

  Question banks Downloads My Bookmarks Reviews Important topics  

Moderators: Bunuel, WoundedTiger



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

Powered by phpBB © phpBB Group and phpBB SEO

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®.