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Sajjad1994
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Data Insights (DI) Butler 2023-24 [Question #102, Date: Nov-09-2023] [Click here for Details]

Train
Passengers
RankCityCodeNumber% Change
8SacramentoSAC12313.1
2RenoRNO948-0.7
12Salt Lake CitySLT11342.3
6Glenwood SpringsGLN10141.8
3DenverDEN724-1.2
(Sort ↕ the table by clicking on the headers)

The table above give information for 2013 on the total passengers for 5 train stations in the western United States. These stations were chosen because in 2013 they were among the most popular. The table also includes the percent increase and decrease from the precious year.

Consider the following statements and determine whether the statements are true or false based on the information provided by the table.


Sajjad1994, Is the table missing information related to the state? Statement 3 asks about the state of Utah. However, the table contained information about the city alone—it did not include the state in which the city is situated.


As for statement 1 and 2,

Statement 1: The percent change in the passenger count from 2012 created the rank identifier for 2013.
This is false; if we check the table, as rank increases, we are expecting it to either decrease or increase. But in the table, we see that when % change drops even when rank increases. Which means rank and percentage change are not related.

Statement 2:The train station that has the median number of passengers also has the median rank.
We see that the median rank is 6 and the median number of passengers is 1014 after filtering the passenger column.
So this is True

No! the table misses nothing and that's why 3rd statement is wrong because it asking to evaluate something we don't according to the question.

Understood. Thanks!

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Hi Sajjad1994

Don't you think statement 2 should be reworded and written as
"The train station that are among the most popular has the median number of passengers and also has the median rank."
As per the statement that is mentioned in question, we won't be able to answer the question because we don't know the total number of trains and hence won't be able to find the median.

Also, can you please explain statement 1?
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Hi Sajjad1994

Don't you think statement 2 should be reworded and written as
"The train station that are among the most popular has the median number of passengers and also has the median rank."
As per the statement that is mentioned in question, we won't be able to answer the question because we don't know the total number of trains and hence won't be able to find the median.

Also, can you please explain statement 1?

I think statement II is OK. There is no need to reword it.

Official Explanation

Looking at Statement I. The percent of change in the passenger count from 2012 created the rank identifier for 2013. Looking at the ranks, it is seen that rank 2 which is the highest given, belongs to Reno. Reno's station also had a percent decrease from the previous year. Therefore making this statement false.

Looking at Statement II. The train station that has the median passengers also has the median rank. if the passenger counts were reorganized from lowest to highest is would look as follows,

724, 948, 1014, 1134, 1231

The ranks if ordered in this same way would be as follows,

2, 3, 6, 8, 12

Since there are five entries, the median occurs at the third entry which would be passenger count 1014 and rank 6. Both of these belong to the train station at Glenwood Springs. Therefore making this statement true.

Looking at Statement III. Over 50 percent of the stations that experienced a percentage increase are in the state of Utah. The stations that experienced a percentage increase belong to Glenwood Springs, Salt Lake City, and Sacramento. Glenwood Springs is a city in Colorado, Salt Lake City is a city in Utah, and Sacramento is a city in California. Only one station is in Utah therefore makina this statement false.

Answer: False, True, and False
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[url=https://gmatclub.com:443/forum/memberlist.php?mode=viewprofile&un=Sajjad1994]Sajjad1994
, Is the table missing information related to the state? Statement 3 asks about the state of Utah. However, the table contained information about the city alone—it did not include the state in which the city is situated.


As for statement 1 and 2,

Statement 1: The percent change in the passenger count from 2012 created the rank identifier for 2013.
This is false; if we check the table, as rank increases, we are expecting it to either decrease or increase. But in the table, we see that when % change drops even when rank increases. Which means rank and percentage change are not related.

Statement 2:The train station that has the median number of passengers also has the median rank.
We see that the median rank is 6 and the median number of passengers is 1014 after filtering the passenger column.
So this is True

No! the table misses nothing and that's why 3rd statement is wrong because it asking to evaluate something we don't according to the question.
­What if the option were written like this: "Less 50 percent of the stations that experienced a percentage increase are in the state of Utah".? 

Would it still be marked as "False"?­­ I mean, even thou the statement itself is true, it can't be infered solely from the table
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mmdfl
Sajjad1994
No! the table misses nothing and that's why 3rd statement is wrong because it asking to evaluate something we don't according to the question.
­What if the option were written like this: "Less 50 percent of the stations that experienced a percentage increase are in the state of Utah".? 

Would it still be marked as "False"?­­ I mean, even thou the statement itself is true, it can't be infered solely from the table
It will still fall outside the scope of the question, so yes, the answer will be No. An answer like "Cannot be inferred" is rather more suitable in such a case than saying a straight Yes or No. 
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