Problem 6BSC

In Exercises, find the range, variance, and standard deviation for the given samph data. Include appropriate units (such as “minutes”) in your results. (The same data were used in Section 3-2 where we found measures of center. Here we find measures of variation.) Then answer the given questions.

Top 10 Most Expensive Colleges Listed below are the annual tuition amounts of the 10 most expensive colleges in the United States for a recent year. The colleges listed in order are Sarah Lawrence, NYU, George Washington, Bates, Skidmore, Johns Hopkins, Georgetown, Connecticut College, Harvey Mudd, and Vassar. Can this “Top 10” list tell us anything about the standard deviation of the population of all U.S. college tuitions?

Answer:

Step 1 of 1

SL No |
x |
(x - |

1 |
54410 |
7915219.56 |

2 |
51991 |
155551.36 |

3 |
51730 |
17795.56 |

4 |
51300 |
87971.56 |

5 |
51196 |
160480.36 |

6 |
51190 |
165323.56 |

7 |
51122 |
225245.16 |

8 |
51115 |
231938.56 |

9 |
51037 |
313152.16 |

10 |
50875 |
520706.56 |

Sum |
515966 |
9793384.4 |

Mean

=

= 51596.6

Standard deviation

=

= 989.6152

Variance = (989.6152)2 = 979338.44

Range = Maximum - Minimum

= 54410 - 50875

= 3535