# Question: suppose that the national average for the math portion of...

###### Question details

Suppose that the national average for the math portion of the College Board's SAT is 537. The College Board periodically rescales the test scores such that the standard deviation is approximately 100. Answer the following questions using a bell-shaped distribution and the empirical rule for the math test scores.

If required, round your answers to two decimal places.

(a) |
What percentage of students have an SAT math score greater than 637? |

% | |

(b) |
What percentage of students have an SAT math score greater than 737? |

% | |

(c) |
What percentage of students have an SAT math score between 437 and 537? |

% | |

(d) |
What is the z-score for student with an SAT math score of 620? |

(e) |
What is the z-score for a student with an SAT math score of 405? |