TV Watch Time : Integrated Reasoning (IR)
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# TV Watch Time

Author Message
Manager
Joined: 07 Dec 2011
Posts: 104
Location: India
GMAT Date: 07-30-2012
GPA: 2.66
WE: Information Technology (Computer Software)
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Kudos [?]: 453 [1] , given: 116

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23 Jul 2012, 12:47
1
KUDOS
Attachment:

attach1.JPG [ 82.41 KiB | Viewed 1255 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:
(A) 4.07
(B) 40 and 51

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

Senior Manager
Affiliations: UWC
Joined: 09 May 2012
Posts: 399
GMAT 1: 620 Q42 V33
GMAT 2: 680 Q44 V38
GPA: 3.43
WE: Engineering (Entertainment and Sports)
Followers: 28

Kudos [?]: 1109 [1] , given: 100

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26 Jul 2012, 05:30
1
KUDOS
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 [ 43.5 KiB | Viewed 1197 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)
Intern
Joined: 21 Aug 2011
Posts: 13
Location: India
Concentration: Strategy
Schools: ISB '14 (S)
GMAT Date: 08-31-2012
Followers: 0

Kudos [?]: 6 [0], given: 3

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05 Aug 2012, 20:20
Hi Experts

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.
Intern
Joined: 15 Apr 2012
Posts: 8
Followers: 0

Kudos [?]: 0 [0], given: 8

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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.
Senior Manager
Affiliations: UWC
Joined: 09 May 2012
Posts: 399
GMAT 1: 620 Q42 V33
GMAT 2: 680 Q44 V38
GPA: 3.43
WE: Engineering (Entertainment and Sports)
Followers: 28

Kudos [?]: 1109 [0], given: 100

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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?
Intern
Joined: 15 Apr 2012
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Kudos [?]: 0 [0], given: 8

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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)?

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