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TV Watch Time

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Manager
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Joined: 07 Dec 2011
Posts: 120

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Location: India
Concentration: International Business, Strategy
GMAT Date: 07-30-2012
GPA: 2.66
WE: Information Technology (Computer Software)
TV Watch Time [#permalink]

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New post 23 Jul 2012, 12:47
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Attachment:
attach1.JPG
attach1.JPG [ 82.41 KiB | Viewed 1337 times ]


options




Question A.
i. 4.07
ii. 4.7
iii. 5.07

#B.
0-8
8-12
12-20
20-29
29-30
40-51
51-55



[Reveal] Spoiler:
Correct answers are:
(A) 4.07
(B) 40 and 51



http://www.gmatpill.com/gmat-practice-t ... stion/1146
_________________

Please press Kudos if you found this post helpful

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Senior Manager
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Posts: 393

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Location: Canada
GMAT 1: 620 Q42 V33
GMAT 2: 680 Q44 V38
GPA: 3.43
WE: Engineering (Entertainment and Sports)
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Re: TV Watch Time [#permalink]

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New post 26 Jul 2012, 05:30
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Let me see:

A) In order, to get the least possible value of the average number of TV viewing hours, lets assume that those people who watch less than 1 hour a day actually watch 0 hours. By doing this, we will effectively lower the average.

Let's calculate the average:

\(\frac{0(8)+1(4)+2(8)+3(9)+4(11)+5(11)+6(7)+7(8)+10(3)+11(1)}{70}\)

\(= \frac{285}{70} = 4.0714\)

So A must be 4.07

B) The respondents that watched less than 3/5 hrs a day watched less than\(\frac{{7*3}}{4} = 5.25\) hrs a week.

So the number of people who watched less than 5.25 hrs a week would include more or less those people to the left of the arrow below:

Attachment:
Capture.JPG
Capture.JPG [ 43.5 KiB | Viewed 1280 times ]


So for now, lets ignore the bar with the arrow.

The number of people to the left of the bar (excluding the bar) is:

8+4+8+9+11 = 40

Now, the bar with the arrow: 11 people watched at least 5 hours but less than 6hrs. If they did watch 5 hrs or less we can count them in our calculations. However, it is also possible that they could have watched 5.8hrs in which case we don't count them.

So our range is 40 (if we don't count them) to 51(if we do)

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Intern
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Joined: 21 Aug 2011
Posts: 13

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Location: India
Concentration: Strategy
Schools: ISB '14 (S)
GMAT Date: 08-31-2012
Re: TV Watch Time [#permalink]

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New post 05 Aug 2012, 20:20
Hi Experts
please help with this question.

I could do the 1st part same way mentioned in the above post but that will take a long time for calculation.

for the 2nd part we can calculate who watched for >= 3/4 and substract. that would be quicker.

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Re: TV Watch Time [#permalink]

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New post 10 Aug 2012, 05:38
macjas wrote:
Let me see:

A) In order, to get the least possible value of the average number of TV viewing hours, lets assume that those people who watch less than 1 hour a day actually watch 0 hours. By doing this, we will effectively lower the average.

Let's calculate the average:

\(\frac{0(8)+1(4)+2(8)+3(9)+4(11)+5(11)+6(7)+7(8)+10(3)+11(1)}{70}\)

\(= \frac{285}{70} = 4.0714\)

So A must be 4.07

B) The respondents that watched less than 3/5 hrs a day watched less than\(\frac{{7*3}}{4} = 5.25\) hrs a week.

So the number of people who watched less than 5.25 hrs a week would include more or less those people to the left of the arrow below:

Attachment:
Capture.JPG


So for now, lets ignore the bar with the arrow.

The number of people to the left of the bar (excluding the bar) is:

8+4+8+9+11 = 40

Now, the bar with the arrow: 11 people watched at least 5 hours but less than 6hrs. If they did watch 5 hrs or less we can count them in our calculations. However, it is also possible that they could have watched 5.8hrs in which case we don't count them.

So our range is 40 (if we don't count them) to 51(if we do)


I did not understand the solution for part B.
How did u arrive at 5.25 hrs a week?
Kindly explain in detail.

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Senior Manager
Senior Manager
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Affiliations: UWC
Joined: 09 May 2012
Posts: 393

Kudos [?]: 1683 [0], given: 100

Location: Canada
GMAT 1: 620 Q42 V33
GMAT 2: 680 Q44 V38
GPA: 3.43
WE: Engineering (Entertainment and Sports)
Reviews Badge
Re: TV Watch Time [#permalink]

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New post 10 Aug 2012, 05:47
Hi Mayank

Pretty straightforward:

3/4 hrs a day * 7 days = 5.25 hours a week. Did the typo in my previous post confuse you? (it needs to be 3/4 not 3/5)?

Other than this, I can't explain it any better than how I did in the last post. Perhaps some expert can chime in?

Kudos [?]: 1683 [0], given: 100

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Re: TV Watch Time [#permalink]

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New post 10 Aug 2012, 05:50
macjas wrote:
Hi Mayank

Pretty straightforward:

3/4 hrs a day * 7 days = 5.25 hours a week. Did the typo in my previous post confuse you? (it needs to be 3/4 not 3/5)?



Gosh i had been reading the question as 3/4 hours a week instead of the day!!!

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Re: TV Watch Time   [#permalink] 10 Aug 2012, 05:50
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