Difficult# AP Exam Scores: How Many Scores of 5 Needed?

GMAT-ECXJH0

__AP Exam Scores 2013__

*In the sortable table below, click on the column title to organize the table by that column's values.*

Subject | total tests | mean | stdev | # 3 or higher | % 3 or higher |
---|---|---|---|---|---|

Art Hist | 22,723 | 2.85 | 1.29 | 13,763 | 60.6 |

Biology | 203,189 | 2.88 | 1.01 | 128,646 | 63.3 |

Calculus AB | 282,814 | 2.96 | 1.56 | 167,833 | 59.4 |

Calc BC Sub | 104,483 | 4.12 | 1.24 | 91,094 | 87.2 |

Chemistry | 140,006 | 2.92 | 1.47 | 82,789 | 59.1 |

Offered in many high schools, Advanced Placement programs expose students to college-level material.The College Board administers Advanced Placement Exams in the spring of each school year. Students earning a score of 3 or higher (out of a maximum of 5) on AP exams can earn college credit. The distribution of individual AP test scores in a single subject is bell-shaped.

The College Board describes student readiness to progress to the next course in the course sequence based on AP exam scores as follows:

5 = extremely well qualified

4 = well qualified

3 = qualified

2 = possibly qualified

1 = no recommendation

A score of 3 is considered a "passing" grade.

Suppose an additional group of students takes the AP Biology exam in 2013 and all students earn a score of 5. These score are added to the previous scores in the table above. How many scores of 5 need to be added to the previous scores in order for the new mean to exceed 3?