The GRE is a standardized test that students usually take before entering graduate school. Overall scores on the test are approximately normally distributed with a mean of 497 points and a standard deviation of 115 points. A graduate school requires a score in the 95th percentile for admission. To what actual score does this correspond?

The to question "To what actual score does this correspond?" is that a score in the 95th percentile corresponds to an actual score of approximately 646 on the GRE.

1. The mean score on the GRE is 497 points, and the standard deviation is 115 points. This means that the scores on the test are distributed around the mean, with most scores falling within one standard deviation of the mean.2. The 95th percentile is a statistical measure that indicates the score below which 95% of the scores fall. In other words, it represents the top 5% of scores.

3. To find the actual score corresponding to the 95th percentile, we need to find the z-score associated with the 95th percentile and then use the z-score formula to find the corresponding score.4. The z-score formula is z = (x - μ) / σ, where z is the z-score, x is the score, μ is the mean, and σ is the standard deviation.

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