High School

For the SAT math test, the distribution of SAT scores is a Gaussian distribution. The student scores have a mean of 500 with a standard deviation of 100. Which statement below is correct?

Answer :

Final answer:

The correct statement is: b. z = 1.5. The math SAT score is 650, which is 1.5 standard deviations above the mean.

Explanation:

The statement below that is correct is: b. z = 1.5.

To find the score that is 1.5 standard deviations above the mean of 500, we can use the formula: X-μ = zσ. Plugging in the values, we have: X-500 = 1.5(100), which simplifies to X = 500 + 1.5(100) = 650.

Therefore, the correct statement is that the math SAT score is 650, which is 1.5 standard deviations above the mean.

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