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23 Sep 2025, 09:17
Kudos
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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
The table shows information about nine professional sports teams.
For each of the following statements, select Yes if the statement accurately reflects the information in the table. Otherwise, select No.
| 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.
| Yes | No | |
| A team with the median number of games played also had the median stadium capacity. | ||
| Exactly three teams simultaneously had games played above the overall median and average attendance above the overall median. | ||
| The team with the lowest annual budget also has the lowest ratio of average attendance to stadium capacity. |
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Official 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
23 Sep 2025, 09:17
Kudos
Bookmarks
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"
Bunuel
• 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"
