SAT Math scores have a bell-shaped distribution with a mean of 515 and a standard deviation of 114. Use the empirical rule a) What percentage of SAT scores is between 401 and 629 b) What percentage of SAT score is less than 401 or greater than 629?
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Step 1
Step 1: Calculate the z-scores for the given SAT scores of 401 and 629 using the formula: \( z = \frac{x - \text{mean}}{\text{standard deviation}} \) For 401: \( z = \frac{401 - 515}{114} = -1 \) For 629: \( z = \frac{629 - 515}{114} = 1 \) Show more…
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The Empirical Rule SAT Math scores have a bell-shaped distribution with a mean of 515 and a standard deviation of $114 .$ Source: College Board (a) What percentage of SAT scores is between 401 and $629 ?$ (b) What percentage of SAT scores is less than 401 or greater than $629 ?$ (c) What percentage of SAT scores is greater than $743 ?$
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