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The table gives aggregate information about the hotels in a cluster of

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Sajjad1994
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The table gives aggregate information about the hotels in a cluster of [#permalink] New post   26 Dec 2023, 06:08
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Data Insights (DI) Butler 2023-24 [Question #162, Date: Dec-19-2023] [Click here for Details]


The table gives aggregate information about the hotels in a cluster of six neighboring small towns in a tourist area. Two of the towns are large enough that they are subdivided into two regions each. The other four towns comprise one region each. Hotels are rated on a scale of 1 star to 5 stars.

Town RegionNumber of HotelsAverage Hotel RatingAverage Number of
Rooms per Hotel
Aphrodite, North84.3120
Aphrodite, South64.2518
Apollo94.2226
Ares53.916
Artemis, East84.2517
Artemis, West7413
Hermes44.259
Poseidon123.8822
(Sort ↕ the table by clicking on the headers)

For each of the following statements, select Yes if the statement is true based on the information in the table. Otherwise, select No.
Yes No
The town with the most hotel rooms is Poseidon.
The average rating of all the hotels in the town of Artemis is greater than 4.125.
If in all the towns there are only two hotels with a 3-star rating, and if both of those hotels are in the same town, then that town is not Hermes.
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The town with the most hotel rooms is Poseidon.: No The average rating of all the hotels in the town of Artemis is greater than 4.125.: Yes If in all the towns there are only two hotels with a 3-star rating, and if both of those hotels are in the same town, then that town is not Hermes.: Yes
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Re: The table gives aggregate information about the hotels in a cluster of [#permalink] New post   26 Dec 2023, 09:45
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Sajjad1994 wrote:
Data Insights (DI) Butler 2023-24 [Question #162, Date: Dec-19-2023] [Click here for Details]


The table gives aggregate information about the hotels in a cluster of six neighboring small towns in a tourist area. Two of the towns are large enough that they are subdivided into two regions each. The other four towns comprise one region each. Hotels are rated on a scale of 1 star to 5 stars.

Town RegionNumber of HotelsAverage Hotel RatingAverage Number of
Rooms per Hotel
Aphrodite, North84.3120
Aphrodite, South64.2518
Apollo94.2226
Ares53.916
Artemis, East84.2517
Artemis, West7413
Hermes44.259
Poseidon123.8822
(Sort ↕ the table by clicking on the headers)

For each of the following statements, select Yes if the statement is true based on the information in the table. Otherwise, select No.


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Re: The table gives aggregate information about the hotels in a cluster of [#permalink] New post   27 Dec 2023, 09:06
This answer is also incorrect. The correct answers are Yes, Yes, and Yes:

1. The town with the most hotel rooms is Poseidon.
Yes. Poseidon has 12 hotels, which is more than any other town in the cluster.

2. The average rating of all the hotels in the town of Artemis is greater than 4.125.
Yes. The average rating of all the hotels in the town of Artemis is approximately 4.13, which is greater than 4.125.

3. If in all the towns there are only two hotels with a 3-star rating, and if both of those hotels are in the same town, then that town is not Hermes.
Yes. According to the table, Hermes has 4 hotels with an average rating of 4.25, which means it doesn't meet the condition of having only two hotels with a 3-star rating. Therefore, this statement is not applicable to Hermes.
So, to summarize:

Statement 1 is true (Yes).
Statement 2 is true (Yes).
Statement 3 is not applicable to Hermes (Yes).
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Re: The table gives aggregate information about the hotels in a cluster of [#permalink] New post   27 Dec 2023, 09:13
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bennywise wrote:
This answer is also incorrect. The correct answers are Yes, Yes, and Yes:

1. The town with the most hotel rooms is Poseidon.
Yes. Poseidon has 12 hotels, which is more than any other town in the cluster.


The question is asking about the hotel rooms, not the number of hotels. JFYI
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Re: The table gives aggregate information about the hotels in a cluster of [#permalink] New post   27 Dec 2023, 11:18
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Sajjad1994 wrote:
bennywise wrote:
This answer is also incorrect. The correct answers are Yes, Yes, and Yes:

1. The town with the most hotel rooms is Poseidon.
Yes. Poseidon has 12 hotels, which is more than any other town in the cluster.


The question is asking about the hotel rooms, not the number of hotels. JFYI



Sajjad1994

The question is "The town with the most hotel rooms", if we check the town Aphrodite has 268 rooms in total.

Aphrodite, North = 20 x 8 =160
Aphrodite, South = 18 x 6 = 108
Total = 160+108 = 268 hotel rooms

The town of Poseidon has only 264 rooms.

The question asked specifically for town and not for regions/towns, hence the answer must be Aphrodite and not Poseidon. Am I missing something here?
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Re: The table gives aggregate information about the hotels in a cluster of [#permalink] New post   27 Dec 2023, 11:47
Expert Reply
You are RIGHT, as the question statement said there are six towns in total so the north and south would be treated as one town.

VishalDamarla wrote:
Sajjad1994 wrote:
bennywise wrote:
This answer is also incorrect. The correct answers are Yes, Yes, and Yes:

1. The town with the most hotel rooms is Poseidon.
Yes. Poseidon has 12 hotels, which is more than any other town in the cluster.


The question is asking about the hotel rooms, not the number of hotels. JFYI



Sajjad1994

The question is "The town with the most hotel rooms", if we check the town Aphrodite has 268 rooms in total.

Aphrodite, North = 20 x 8 =160
Aphrodite, South = 18 x 6 = 108
Total = 160+108 = 268 hotel rooms

The town of Poseidon has only 264 rooms.

The question asked specifically for town and not for regions/towns, hence the answer must be Aphrodite and not Poseidon. Am I missing something here?
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Re: The table gives aggregate information about the hotels in a cluster of [#permalink] New post   20 Feb 2024, 15:33
­Can anyone please explain the third question
 
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Re: The table gives aggregate information about the hotels in a cluster of [#permalink] New post   23 Feb 2024, 01:55
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Kaushal124 wrote:
­Can anyone please explain the third question

 

OE
­
Assume to the contrary that both 3-starrated hotels are in Hermes. In total, Hermes has 4 hotels, with an average rating of 4.25. Is it possible for the average rating of these four hotels to be 4.25 if two of the four ratings are 3 and the other two cannot be greater than 5? The maximum possible average in this scenario would occur if the other two ratings are both 5:

\(A=\frac{3+3+5+5}{4} \)

\(​​​​​​​A=4\)

So it is not possible to arrive at Hermes’ 4.25 average hotel rating if two of Hermes’ hotels have a 3-star rating. Thus, the statement is true.

Answer: True
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Re: The table gives aggregate information about the hotels in a cluster of [#permalink]
23 Feb 2024, 01:55
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