Question

The SAT is a standardized test used by many colleges and universities in their admission decisions. More than one million high school students take the SAT each year. A perfect score of all three parts of the SAT is 2400. The data set contains a sample of SAT scores for a graduating high school class. Using Excel, Show your work.

SAT Scores |

1665 |

1275 |

1650 |

1590 |

1475 |

1490 |

1525 |

2135 |

1560 |

1880 |

1680 |

1560 |

1355 |

1280 |

1150 |

1420 |

1440 |

940 |

1645 |

1060 |

1485 |

1755 |

1260 |

1390 |

1780 |

1585 |

1990 |

1375 |

1730 |

1175 |

1. Assuming SAT scores are normally distributed, compute the following?

P(SAT < 950) | |

P(SAT > 1350) | |

P(1000 < SAT < 2100) |

2. What SAT score would you need to be in the top 75%?

What SAT score would you need to be in the lowest 25%?

Top 75% | |

Lowest 25% |

3. Create a frequency and relative frequency distribution of the SAT scores. The first class should start at 800. Use class width of 200. Create a histogram of the frequency distribution.

Answer #1

Here is the R code I used for above:

Here is the histogram

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