A group of students were surveyed to find out if they like working as a camp counselor and/or as a lifeguard during summer break. The results of the survey are shown below:
32 students like working as a camp counselor
8 students like working as a camp counselor but do not like working as a lifeguard
29 students like working as a lifeguard
8 students do not like working as a lifeguard or a camp counselor
Four students created the tables below to represent the data. CC represents camp counselor and LG represents lifeguard.
Sam
Like CC Do Not Like CC Total
Like LG 2 32 34
Do Not Like LG 5 8 13
Total 7 40 47
Brenda
Like CC Do Not Like CC Total
Like LG 32 2 34
Do Not Like LG 8 5 13
Total 40 7 47
Coralle
Like CC Do Not Like CC Total
Like LG 24 5 29
Do Not Like LG 8 8 16
Total 32 13 45
Nora
Like CC Do Not Like CC Total
Like LG 5 24 29
Do Not Like LG 8 8 16
Total 13 32 45
Which student's table is correct? (4 points)
Sam
Brenda
Coralle
Nora
All four tables are correct as they represent the same data accurately.
To determine which student's table is correct, we can compare the information provided in each table with the given survey results. We are specifically interested in matching the number of students who like working as a camp counselor and/or as a lifeguard.
Comparing Sam's table with the survey results:
- Sam's table shows that 2 students like both being a camp counselor and a lifeguard, which matches the given survey result of "2 students like working as a camp counselor."
- Sam's table shows that 32 students like being a camp counselor, which also matches the given survey result of "32 students like working as a camp counselor."
- However, Sam's table shows that 32 students like working as a lifeguard, while the survey results state that only 29 students like working as a lifeguard. Therefore, there is a discrepancy.
Comparing Brenda's table with the survey results:
- Brenda's table shows that 32 students like being a camp counselor, which matches the given survey result of "32 students like working as a camp counselor."
- Brenda's table shows that 2 students like both being a camp counselor and a lifeguard, which also matches the survey result of "8 students like working as a camp counselor but do not like working as a lifeguard."
- However, Brenda's table shows that 34 students like working as a lifeguard, while the survey results state that only 29 students like working as a lifeguard. Therefore, there is a discrepancy.
Comparing Coralle's table with the survey results:
- Coralle's table shows that 24 students like both being a camp counselor and a lifeguard, which matches the given survey result of "32 students like working as a camp counselor."
- Coralle's table shows that 29 students like working as a lifeguard, which also matches the given survey result of "29 students like working as a lifeguard."
- However, Coralle's table shows that 5 students neither like working as a camp counselor nor as a lifeguard, while the survey results state that 8 students do not like working as a lifeguard or a camp counselor. Therefore, there is a discrepancy.
Comparing Nora's table with the survey results:
- Nora's table shows that 5 students like both being a camp counselor and a lifeguard, which matches the given survey result of "8 students like working as a lifeguard but do not like working as a camp counselor."
- Nora's table shows that 29 students like working as a lifeguard, which also matches the given survey result of "29 students like working as a lifeguard."
- Moreover, Nora's table shows that 24 students like working as a camp counselor, which matches the given survey result of "24 students like working as a camp counselor."
- Nora's table also shows that 8 students do not like working as a camp counselor or a lifeguard, which matches the given survey result of "8 students do not like working as a camp counselor or a lifeguard." Therefore, all the information in Nora's table aligns with the survey results.
Based on the above analysis, it can be concluded that Nora's table is correct.
To determine which student's table is correct, we need to compare the data in each table to the original survey results.
Looking at the original survey results:
- 32 students like working as a camp counselor
- 8 students like working as a camp counselor but do not like working as a lifeguard
- 29 students like working as a lifeguard
- 8 students do not like working as a lifeguard or a camp counselor
Comparing the data in each student's table to the original survey results, we can see that only Coralle's table matches the given survey results:
Coralle's table:
Like CC: 24 + 5 = 29 (camp counselor)
Do Not Like CC: 8 + 8 = 16 (do not like camp counselor)
Like LG: 24 + 5 = 29 (lifeguard)
Do Not Like LG: 8 + 8 = 16 (do not like lifeguard)
Therefore, Coralle's table is correct.