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In Federland, per capita spending on sporting events tends to decrease as individuals age.: Cannot be reasonably
inferred The average age of Federland citizens who attended performing arts events in 2015 was under the age of 45.: Cannot be reasonably
inferred At least 45% of Federland citizens under the age of 25 attended both a sporting event and a gallery or museum in 2015.: Can be reasonably
inferred
inferred The average age of Federland citizens who attended performing arts events in 2015 was under the age of 45.: Cannot be reasonably
inferred At least 45% of Federland citizens under the age of 25 attended both a sporting event and a gallery or museum in 2015.: Can be reasonably
inferred
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
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Question Stats:
38% (02:34) correct
62%
(02:35)
wrong
based on 318
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A research bureau surveyed the citizens of the country of Federland about their entertainment and event attendance for the year 2015. The following chart shows the percentage of Federland citizens, by age group, who paid money to attend selected cultural events in 2015.
Which of the following can be reasonably inferred from the information provided in the table?
| Age | Galleries or Museums | Sporting Events | Performing Arts Events | Movies or films |
|---|---|---|---|---|
| 0 - 25 | 70 | 75 | 64 | 82 |
| 25 - 34 | 65 | 68 | 67 | 85 |
| 35 - 44 | 64 | 62 | 68 | 83 |
| 45 - 54 | 58 | 55 | 45 | 88 |
| 55 - 64 | 62 | 57 | 56 | 78 |
| 65 and older | 68 | 45 | 64 | 62 |
Which of the following can be reasonably inferred from the information provided in the table?
|
Can be reasonably inferred |
Cannot be reasonably inferred |
|
| In Federland, per capita spending on sporting events tends to decrease as individuals age. | ||
| The average age of Federland citizens who attended performing arts events in 2015 was under the age of 45. | ||
| At least 45% of Federland citizens under the age of 25 attended both a sporting event and a gallery or museum in 2015. |
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Official Answer
In Federland, per capita spending on sporting events tends to decrease as individuals age.: Cannot be reasonably
inferred The average age of Federland citizens who attended performing arts events in 2015 was under the age of 45.: Cannot be reasonably
inferred At least 45% of Federland citizens under the age of 25 attended both a sporting event and a gallery or museum in 2015.: Can be reasonably
inferred
inferred The average age of Federland citizens who attended performing arts events in 2015 was under the age of 45.: Cannot be reasonably
inferred At least 45% of Federland citizens under the age of 25 attended both a sporting event and a gallery or museum in 2015.: Can be reasonably
inferred
I am not an expert but here is how I will try to deduce the last statement:
"At least 45% of Federland citizens under the age of 25 attended both a sporting event and a gallery or museum in 2015."
Let's assume there are 100 people within the 0- 25 age group,
No. of citizens who attended Galleries/ Museums, \(M_1\) = 70 (Given in the table)
No. of citizens who didn't attend Galleries/ Museums, \(M_2\) = 100 - 70 = 30
No. of citizens who attended Sporting events, \(S_1\) = 75 (Given in the table)
No. of citizens who didn't attend Sporting events, \(S_2\) = 100 - 75 = 25
There can be different cases of consideration, but let's take the extreme one i.e. "No one from \(M_2\) is in \(S_2\) and vice versa"
Therefore, no. of people who didn't attend both Galleries/ Museums and Sporting events = \(M_2\) + \(S_2\) = 30 + 25 = 55
So, no. of people who attended both events = 100 - 55 = 45
Hence, even in the extreme case, 45 citizens attended both a sporting event and a gallery or museum. (Can be reasonably inferred)
"At least 45% of Federland citizens under the age of 25 attended both a sporting event and a gallery or museum in 2015."
Let's assume there are 100 people within the 0- 25 age group,
No. of citizens who attended Galleries/ Museums, \(M_1\) = 70 (Given in the table)
No. of citizens who didn't attend Galleries/ Museums, \(M_2\) = 100 - 70 = 30
No. of citizens who attended Sporting events, \(S_1\) = 75 (Given in the table)
No. of citizens who didn't attend Sporting events, \(S_2\) = 100 - 75 = 25
There can be different cases of consideration, but let's take the extreme one i.e. "No one from \(M_2\) is in \(S_2\) and vice versa"
Therefore, no. of people who didn't attend both Galleries/ Museums and Sporting events = \(M_2\) + \(S_2\) = 30 + 25 = 55
So, no. of people who attended both events = 100 - 55 = 45
Hence, even in the extreme case, 45 citizens attended both a sporting event and a gallery or museum. (Can be reasonably inferred)
General Discussion
18 Aug 2025, 06:44
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How can we assume there are only 100 people , there can be 1000 people in the city.
BottomJee
