The chart summarizes the results of a study where twenty teenagers wer

Question

The chart summarizes the results of a study where twenty teenagers were surveyed about the time they spent each week playing video games. Two reported playing video games for 1 hour, 4 reported playing for 2 hours, etc. while 1 respondent reported playing video games for more than 10 hours.

Based on the information given, use the drop-down menus below to most accurately complete the following statements.

1. The median number of hours spent playing video games among the group is hours.

2. Assuming that no individual played video games for more than 20 hours per week, then the greatest possible value for the mean number of hours of video game-playing per week for the group is hours.

Show Spoiler

Attachment:

8.jpg [ 31.61 KiB | Viewed 9330 times ]

Submit Answer

Start the Timer above, select the dropdowns, and click "Submit" to add this question to your Error log.

Show Answer

Official Answer

Dropdown 1: 3 Dropdown 2: 4.2

rocky620 · Answer

1.1 The median number of hours spent playing video games among the group is__________hours.

Hours spent by teenagers (in ascending orders time)

1, 1, 2, 2, 2, 2, 3, 3, 3,   3, 3  , 4, 4, 4, 5, 5, 5, 5, 7, 10+

Median time spent playing =  3 hours

A. 2
  B. 3  
C. 4
D. 5

1.2 Assuming that no individual played video games for more than 20 hours per week, then the greatest possible value for the mean number of hours of video game-playing per week for the group is___________hours.

Average time spent by All teenagers in playing games =  \frac{# of teenagers*hours spent}{20} 
Since no teenager played more than 20 hours, highest time spent playing by one teenager will be 20

2*1 = 2
4*2 = 8
5*3 = 15
3*4 = 12
4*5 = 20
1*7 = 7
1*20 = 20

Total = 84

Average Time spent =  \frac{84}{20}  =  20

A. 3.2
B. 3.7
  C. 4.2  
D. 4.5

Shikhar6898 · Answer

1.2 Assuming that no individual played video games for more than 20 hours per week, then the greatest possible value for the mean number of hours of video game-playing per week for the group is___________hours.

Average time spent by All teenagers in playing games = 
\frac{# of teenagers*hours spent}{20}

Since no teenager played more than 20 hours, highest time spent playing by one teenager will be 20

2*1 = 2
4*2 = 8
5*3 = 15
3*4 = 12
4*5 = 20
1*7 = 7
1*20 = 20

Total = 84

How Come (1*20) ?
It should be 1*10 know, Making the total 74

74/20 = 3.7

3.7 - B (Answer)

ankitgoswami · Answer

Look at the information given-

The chart summarizes the results of a study where twenty teenagers were surveyed about the time they spent each week playing video games. Two reported playing video games for 1 hour, 4 reported playing for 2 hours, etc. while  1 respondent reported playing video games for more than 10 hours.

Remember it is more than 10 hours. And now look at the question itself -

Assuming that no individual played video games for more than 20 hours per week , then the greatest possible value for the mean number of hours of video game-playing per week for the group is___________hours.

So for calculating the greatest value of mean, we need the max value for that one individual, which is 20 in this case.

bumpbot · Answer

Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.

The chart summarizes the results of a study where twenty teenagers wer

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Graphs and Tables (G&T) Questions

The chart summarizes the results of a study where twenty teenagers wer

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards