A science class tested ways to clean water after an oil spill. Each group of students was given 100 mL of vegetable oil, 100 mL of engine oil, and 800 mL of water in a rectangular plastic container. Each container also held five floating wooden cubes (5 cubic centimeters each) representing animals in the water. Each group was tasked with removing as much oil as possible in a 20-minute period, leaving "clean water" in the container, using whatever tools they brought to class. The results of the "clean-up" are presented in the table below.

\begin{tabular}{|c|c|c|}
\hline
Group & Vegetable oil removed [tex]$(mL)$[/tex] & Engine oil removed [tex]$(mL)$[/tex] \\
\hline
1 & 10 & 20 \\
\hline
2 & 110 & 130 \\
\hline
3 & 60 & 40 \\
\hline
4 & 80 & 70 \\
\hline
\end{tabular}

Based on the results above, which group's data are obviously unreliable?

A. Group 1
B. Group 2
C. Group 3
D. Group 4



Answer :

To determine which group's data is unreliable, we need to compare the amount of oil removed by each group with the initial amounts provided. Each group started with 100 mL of vegetable oil and 100 mL of engine oil.

Let's evaluate each group's results:

- Group 1:
- Vegetable oil removed: 10 mL
- Engine oil removed: 20 mL
- Total removal: 10 mL + 20 mL = 30 mL
- This is within the initial provided amount (200 mL total), so the data for Group 1 is reliable.

- Group 2:
- Vegetable oil removed: 110 mL
- Engine oil removed: 130 mL
- Total removal: 110 mL + 130 mL = 240 mL
- This exceeds the initial provided amount (200 mL total), indicating that it is impossible for Group 2 to have removed more oil than was provided. Hence, the data for Group 2 is unreliable.

- Group 3:
- Vegetable oil removed: 60 mL
- Engine oil removed: 40 mL
- Total removal: 60 mL + 40 mL = 100 mL
- This is within the initial provided amount (200 mL total), so the data for Group 3 is reliable.

- Group 4:
- Vegetable oil removed: 80 mL
- Engine oil removed: 70 mL
- Total removal: 80 mL + 70 mL = 150 mL
- This is within the initial provided amount (200 mL total), so the data for Group 4 is reliable.

Based on this analysis, the group whose data is obviously unreliable is Group 2.

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