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TV Watch Time

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TV Watch Time [#permalink] New post 23 Jul 2012, 12:47
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Attachment:
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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
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Re: TV Watch Time [#permalink] 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 816 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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Re: TV Watch Time [#permalink] 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] 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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Re: TV Watch Time [#permalink] 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?
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Re: TV Watch Time [#permalink] 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!!!
Re: TV Watch Time   [#permalink] 10 Aug 2012, 05:50
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