Explain how you can convert ACT scores into corresponding SAT scores when you know the mean and standard deviation of each distribution. Find the $z$ -score for the ACT. Substitute this value along with the mean and standard deviation for the SAT into the formula for $z$ -score, and solve for $x$ . This is the SAT score. Find the $z$ -score for the ACT. Substitute this value for $x$ into the formula for $z$ -score, along with the mean and standard deviation for the SAT, and evaluate the formula. This is the SAT score. Find the percentile score for the ACT. Substitute this value along with the mean and standard deviation for the SAT into the formula for $z$ -score, and solve for $x$ . This is the SAT score. Find the percentile score for the ACT. Substitute this value for $x$ into the formula for $z$ -score, along with the mean and standard deviation for the SAT, and evaluate the formula. This is the SAT score.