The two-way table below shows the number of hours students studied and whether they studied alone or in a group.

Which statement below is an accurate conclusion to draw from this data?

It is more likely that a student who studied alone with take less time to study overall.

A student that studies in a group will work faster and study less.

Students who study more than 2 hours account for the largest group surveyed out of the total number surveyed.

A student who studies more will do better on tests.

1 answer

To determine the accurate conclusion from the statements provided, we need to analyze each option based on what is typically understood about study habits and outcomes.

  1. It is more likely that a student who studied alone will take less time to study overall.

    • This statement may be inferred if data supports a correlation between studying alone and less time spent studying. However, the data must specifically show shorter study times for students studying alone for this to be true.
  2. A student that studies in a group will work faster and study less.

    • This statement suggests that studying in a group reduces study time; such a conclusion would also depend on specific data showing a faster pace in group study. Without supporting data, this could be misleading.
  3. Students who study more than 2 hours account for the largest group surveyed out of the total number surveyed.

    • This statement can be verified by looking at the distribution of study hours in the table. If the data shows that the largest portion of students studied for more than 2 hours, this would be an accurate conclusion.
  4. A student who studies more will do better on tests.

    • This conclusion implies a causal relationship between study time and test success, which typically requires additional data to confirm. Correlation does not equal causation.

Without seeing the actual data from the two-way table, it's challenging to definitively determine which statement is accurate. However, based on general principles, statement 3 about students studying more than 2 hours could be potentially verifiable using data.

If the table shows that the majority of students studied more than 2 hours, then the third statement is the most accurate conclusion to draw from that hypothetical scenario.

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