Answer :
Let's analyze each statement step-by-step based on the data provided in the table:
1. Twice as many students chose canoeing as their favorite outdoor activity than those who chose fishing.
Total students who chose fishing: 70
Total students who chose canoeing: 35
To check if twice the number of students chose canoeing compared to fishing, we need to verify if [tex]\( 2 \times \text{Total fishing} = \text{Total canoeing} \)[/tex].
[tex]\( 2 \times 70 = 140 \)[/tex]
[tex]\( 140 \neq 35 \)[/tex]
Therefore, this statement is False.
2. More girls chose canoeing as their favorite outdoor activity than those who chose skiing.
Girls who chose canoeing: 22
Girls who chose skiing: 20
To check this statement, we need to verify if the number of girls who chose canoeing is greater than the number of girls who chose skiing.
[tex]\( 22 > 20 \)[/tex]
Therefore, this statement is True.
3. More girls chose camping as their favorite outdoor activity than boys.
Girls who chose camping: 37
Boys who chose camping: 44
To check this statement, we need to verify if the number of girls who chose camping is greater than the number of boys who chose camping.
[tex]\( 37 < 44 \)[/tex]
Therefore, this statement is False.
4. More students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.
Total students who chose camping: 81
Total students who chose canoeing: 35
Total students who chose skiing: 45
To check this statement, we need to verify if the number of students who chose camping is greater than the combined number of students who chose canoeing and skiing.
[tex]\( 35 + 45 = 80 \)[/tex]
[tex]\( 81 > 80 \)[/tex]
Therefore, this statement is True.
5. There were more boys surveyed than girls.
Total boys: 118
Total girls: 113
To check this statement, we need to verify if the number of boys surveyed is greater than the number of girls surveyed.
[tex]\( 118 > 113 \)[/tex]
Therefore, this statement is True.
6. More boys chose skiing as their favorite outdoor activity than girls.
Boys who chose skiing: 25
Girls who chose skiing: 20
To check this statement, we need to verify if the number of boys who chose skiing is greater than the number of girls who chose skiing.
[tex]\( 25 > 20 \)[/tex]
Therefore, this statement is True.
So, the correct statements are:
- More girls chose canoeing as their favorite outdoor activity than those who chose skiing.
- More students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.
- There were more boys surveyed than girls.
- More boys chose skiing as their favorite outdoor activity than girls.
1. Twice as many students chose canoeing as their favorite outdoor activity than those who chose fishing.
Total students who chose fishing: 70
Total students who chose canoeing: 35
To check if twice the number of students chose canoeing compared to fishing, we need to verify if [tex]\( 2 \times \text{Total fishing} = \text{Total canoeing} \)[/tex].
[tex]\( 2 \times 70 = 140 \)[/tex]
[tex]\( 140 \neq 35 \)[/tex]
Therefore, this statement is False.
2. More girls chose canoeing as their favorite outdoor activity than those who chose skiing.
Girls who chose canoeing: 22
Girls who chose skiing: 20
To check this statement, we need to verify if the number of girls who chose canoeing is greater than the number of girls who chose skiing.
[tex]\( 22 > 20 \)[/tex]
Therefore, this statement is True.
3. More girls chose camping as their favorite outdoor activity than boys.
Girls who chose camping: 37
Boys who chose camping: 44
To check this statement, we need to verify if the number of girls who chose camping is greater than the number of boys who chose camping.
[tex]\( 37 < 44 \)[/tex]
Therefore, this statement is False.
4. More students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.
Total students who chose camping: 81
Total students who chose canoeing: 35
Total students who chose skiing: 45
To check this statement, we need to verify if the number of students who chose camping is greater than the combined number of students who chose canoeing and skiing.
[tex]\( 35 + 45 = 80 \)[/tex]
[tex]\( 81 > 80 \)[/tex]
Therefore, this statement is True.
5. There were more boys surveyed than girls.
Total boys: 118
Total girls: 113
To check this statement, we need to verify if the number of boys surveyed is greater than the number of girls surveyed.
[tex]\( 118 > 113 \)[/tex]
Therefore, this statement is True.
6. More boys chose skiing as their favorite outdoor activity than girls.
Boys who chose skiing: 25
Girls who chose skiing: 20
To check this statement, we need to verify if the number of boys who chose skiing is greater than the number of girls who chose skiing.
[tex]\( 25 > 20 \)[/tex]
Therefore, this statement is True.
So, the correct statements are:
- More girls chose canoeing as their favorite outdoor activity than those who chose skiing.
- More students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.
- There were more boys surveyed than girls.
- More boys chose skiing as their favorite outdoor activity than girls.
