I29-61

Question

The table shows information about nine professional sports teams.
      Team   Annual Budget (millions of €)   League   Games Played   Stadium Capacity   Average Attendance per Game       1   160   X   42   58,000   51,000       2   90   Y   36   38,000   29,000       3   125   X   40   48,000   41,000       4   70   Z   34   32,000   19,000       5   140   X   38   52,000   45,000       6   55   Y   30   25,000   14,000       7   80   Z   32   28,000   17,000       8   200   X   44   65,000   59,000       9   100   Y   38   40,000   33,000      
For each of the following statements, select  Yes  if the statement accurately reflects the information in the table. Otherwise, select  No .

Bunuel · Answer

Official Solution:

• A team with the median number of games played also had the median stadium capacity. 
 
The median is the middle value, so the fifth largest in games played and the fifth largest in stadium capacity. The fifth largest number of games is 38 and the fifth largest stadium capacity is 40,000. Team 9 has both 38 games and a 40,000 capacity, so the condition is satisfied.
 
Answer:  Yes 
 
 • Exactly three teams simultaneously had games played above the overall median and average attendance above the overall median. 
 
The median number of games is 38 and the median attendance is 33,000. Teams with more than 38 games and more than 33,000 attendance are Teams 1, 3, and 8. That makes three teams.
 
Answer:  Yes 
 
 • The team with the lowest annual budget also has the lowest ratio of average attendance to stadium capacity. 
 
The lowest budget belongs to Team 6. Its attendance to capacity ratio is 14,000 divided by 25,000, which is about 0.56, slightly more than half. All other teams have noticeably higher ratios, so Team 6 has the lowest.
 
Answer:  Yes

Correct answer:

A team with the median number of games played also had the median stadium capacity.  "Yes"

Exactly three teams simultaneously had games played above the overall median and average attendance above the overall median.  "Yes"

The team with the lowest annual budget also has the lowest ratio of average attendance to stadium capacity.  "Yes"

dhruv23320 · Answer

What does the word simultaneously mean in the second statement. I thought that the order matters. Hence, I selected as No. Please  Bunuel  enlighten me

Bunuel · Answer

“Simultaneously” means at the same time, so the team must satisfy both conditions: games played above the median and average attendance above the median. It does not refer to the order of the teams.

BongBideshini · Answer

Bunuel 
Q1: Team 5 also qualifies for median games played but does not qualify for the median stadium capacity, so can we say the answer is "YES"?

Bunuel · Answer

Yes, the answer is still Yes. The statement says “A team”, meaning  at least one team  with the median number of games must also have the median stadium capacity.

Team 9 satisfies both conditions. It does not matter that Team 5 has the median number of games but not the median stadium capacity.

Karym · Answer

I like the solution - it’s helpful.

I29-61

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My Rewards

Team	Annual Budget (millions of €)	League	Games Played	Stadium Capacity	Average Attendance per Game
1	160	X	42	58,000	51,000
2	90	Y	36	38,000	29,000
3	125	X	40	48,000	41,000
4	70	Z	34	32,000	19,000
5	140	X	38	52,000	45,000
6	55	Y	30	25,000	14,000
7	80	Z	32	28,000	17,000
8	200	X	44	65,000	59,000
9	100	Y	38	40,000	33,000