Suppose the correlation between mean Math SAT scores and mean Writing SAT scores

Question

Suppose the correlation between mean Math SAT scores and mean Writing SAT scores for all 50 states and the District of Columbia is 0.972. Compare the correlation between the mean state SAT scores for these two tests and the correlation between the scores of individuals. Explain your answer. The correlation between the scores of individuals would be higher than the correlation between the mean state scores. This is because there is far less variability among individuals than among the means. The correlation between the scores of individuals would be lower than the correlation between the mean state scores. This is because there is far more variability among individuals than among the means. The correlation between the scores of individuals would be higher than the correlation between the mean state scores. This is because there is far more variability among individuals than among the means The correlation between the scores of individuals would be lower than the correlation between the mean state scores. This is because there is far less variability among individuals than among the means. The correlation between the scores of individuals would be about the same as the correlation between the mean state scores. This is because the variability among individuals is no different than the variability among the means.

Explanation / Answer

The correlation between individuals would be lower as compared to correlation between mean values because of a high variability.

Option B is correct.

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