If Group A has a higher mean than Group B, which interpretation is most appropriate?

If Group A has a higher mean than Group B, which interpretation is most appropriate?

• A. Group A tends to score higher on average, but causation cannot be inferred.
• B. Group A caused the higher score.
• C. Group B has more variability.
• D. The measurement instrument is biased.

Answer: (A)

Comparing the averages shows that Group A tends to score higher on average, which describes a difference in central tendency between the groups. But from this alone you can’t conclude that Group A caused the higher score—causation requires evidence of experimental manipulation or control of confounding factors, not just a difference in means. The other ideas aren’t supported by the information given: claiming more variability in Group B would need a look at how spread out the scores are, not just the average. Suggesting the measurement instrument is biased would require specific evidence that the tool favored one group systematically, which isn’t provided by a higher mean alone. So the most appropriate interpretation is that Group A tends to score higher on average, but causation cannot be inferred.

Comparing the averages shows that Group A tends to score higher on average, which describes a difference in central tendency between the groups. But from this alone you can’t conclude that Group A caused the higher score—causation requires evidence of experimental manipulation or control of confounding factors, not just a difference in means. The other ideas aren’t supported by the information given: claiming more variability in Group B would need a look at how spread out the scores are, not just the average. Suggesting the measurement instrument is biased would require specific evidence that the tool favored one group systematically, which isn’t provided by a higher mean alone. So the most appropriate interpretation is that Group A tends to score higher on average, but causation cannot be inferred.