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03 Oct 2019, 11:43
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E
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Difficulty:
25%
(medium)
Question Stats:
75% (01:24) correct
25%
(01:32)
wrong
based on 122
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EMPOWERgmat DS Series:
Pack 2, Question 2
What is the median number of audience members attending a showing of any of the films presented at a certain theater during the most recent weekend?
1) The average number of audience members at the least and most attended showings during the most recent weekend was 95.
2) There were 10 showings of films during the most recent weekend.
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Pack 2, Question 2
What is the median number of audience members attending a showing of any of the films presented at a certain theater during the most recent weekend?
1) The average number of audience members at the least and most attended showings during the most recent weekend was 95.
2) There were 10 showings of films during the most recent weekend.
48 Hour Window To Win An $85 EMPOWERgmat Tuition Credit (1 Month Free!)
Share your explanation! The GMAT Club member with the most verified Kudos in total on the 5 question DS Block 2 question pack will win an $85 EMPOWERgmat tuition credit, which will entitle the winner to a full month of complete access to the EMPOWERgmat system. Even if you're not sure about your answer or your rationale, share your explanation to help boost your learning and earn a chance to win.
To be eligible, your explanation must be submitted within the 48 hour window after this post was created and should explain your reasoning why the answer you chose is correct
The OA and official explanation will be held until the 48 hour window has lapsed.
shuvodip04
Joined: 05 Oct 2017
Last visit: 03 Mar 2022
Posts: 86
Given Kudos: 103
Location: India
Concentration: Finance, International Business
Schools: IIMB IIMA ISB'22 (S) IIMA PGPX'22 (I)
GMAT 1: 660 Q48 V33
GMAT 2: 700 Q49 V35 (Online)
GPA: 4
WE:Analyst (Energy)
03 Oct 2019, 12:29
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EMPOWERgmatRichC
Statement 1: The average number of audience from the least and most attended showings was 95. But here we are don't know the number of showings.
e.g (55,78,98,101,135) Here the median is 98 .e.g 2: (55,78,135) Median is 78
Hence only 1 is not sufficient.
Statement 2: Total number of showings 10. But here we dont get any idea about the number of audience.
1+2
it can have multiple possibilities.
e.g 1 - (55,65,67,88,89,91,95,97,110,135) Median is = 90
e.g 2 - (55,65,67,88,95,105,115,120,130,135) Median is = 100
Not sufficient
Hence ans (E)
03 Oct 2019, 13:55
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We can get median of some numbers when more than half of the numbers, either in ascending or descending order, are given. Here, in statement 1, only the average of highest and lowest numbers is given, which is 95. From this,all we can say is total number of audience in 2 showings (95*2)=190. If there were only 2 showings, then 95 would be the median. But as we don't know how many showings were there, we cannot get the median.
Statement 2 only tells us there were 10 showings. We cannot tell about the median from this.
Adding Statement 1 and 2, no information about the median. There are many possible data sets.e.g: {15,23,27,30,38,46,58,69,78,175}, where median is 42. Or, {70,72,74,78,80,82,84,90,100,120},where median is 81. So, both A and B together are not sufficient. Answer: E.
Statement 2 only tells us there were 10 showings. We cannot tell about the median from this.
Adding Statement 1 and 2, no information about the median. There are many possible data sets.e.g: {15,23,27,30,38,46,58,69,78,175}, where median is 42. Or, {70,72,74,78,80,82,84,90,100,120},where median is 81. So, both A and B together are not sufficient. Answer: E.
