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The National Rugby League (NRL) in Australia has been analyzing attendance figures for the first round matches for past two seasons.
a) The following table shows information about ticket sales for four round 1 matches in the current season:
| Home Team | Stadium | Capacity | Tickets Sold |
|---|---|---|---|
| Brisbane Broncos | Suncorp Stadium | 52,500 | 45,750 |
| Canterbury Bankstown Bulldogs | Accor Stadium | 83,500 | 58,450 |
| Manly Sea Eagles | 4 Pines Park | 23,000 | 20,700 |
| Melbourne Storm | AAMI Park | 30,050 | 27,045 |
For each match, what percentage of available tickets were sold? Round your answers to the nearest whole percent.
b) Last season, the same four teams played round 1 at their respective home stadiums. The percentage of available tickets sold for each match is shown in the bar graph below.
If the stadium capacities were the same for both seasons, which season had higher total attendance for these four matches combined? Justify your answer with calculations.
c) The NRL wants to award the “Fan Favorite” title to the team with the highest average round one attendance percentage over the two seasons. Which team wins this title? Show your work.
a) Percentage of available tickets sold for each match:
– Brisbane Broncos: (45,750 ÷ 52,500) × 100% = 87%
– Canterbury Bankstown Bulldogs: (58,450 ÷ 83,500) × 100% = 70%
– Manly Sea Eagles: (20,700 ÷ 23,000) × 100% = 90%
– Melbourne Storm: (27,045 ÷ 30,050) × 100% = 90%
b) Comparing total attendance:
Current season total: 45,750 + 58,450 + 20,700 + 27,045 = 151,945
Last season:
– Brisbane Broncos: 95% of 52,500 = 49,875
– Canterbury Bankstown Bulldogs: 60% of 83,500 = 50,100
– Manly Sea Eagles: 100% of 23,000 = 23,000
– Melbourne Storm: 85% of 30,050 = 25,542
Last season total: 49,875 + 50,100 + 23,000 + 25,542 = 148,517
The current season’s round one had higher total attendance (151,945 > 148,517).
c) Average attendance percentage over two seasons:
– Brisbane Broncos: (87% + 95%) ÷ 2 = 91%
– Canterbury Bankstown Bulldogs: (70% + 60%) ÷ 2 = 65%
– Manly Sea Eagles: (90% + 100%) ÷ 2 = 95%
– Melbourne Storm: (90% + 85%) ÷ 2 = 87.5%
Manly Sea Eagles wins the “Fan Favorite” title with the highest average attendance percentage for the opening round of 95%.
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