Fox Module 3: Univariate displays HW


Fox Module 3: Univariate displays HW

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NEAS
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Module 3: Univariate displays

 

(The attached PDF file has better formatting.)

 

Homework assignment: stem and leaf display

 

A stem and leaf display for assault rates in the fifty U.S. states appears below. The assault rates range from 4.5% to 33.7%.

 

   4 | 568

   5 | 367

   6 |

   7 | 2

   8 | 136

   9 |

  10 | 2699

  11 | 035

  12 | 000

  13 |

  14 | 59

  15 | 1699

  16 | 1

  17 | 48

  18 | 8

  19 | 0

  20 | 14

  21 | 1

  22 |

  23 | 68

  24 | 99

  25 | 2459

  26 | 3

  27 | 69

  28 | 5

  29 | 4

  30 | 0

  31 |

  32 |

  33 | 57

 


A.   What is the median assault rate? There are 50 states, so average two points.

B.   What is the lower hinge (the 25th percentile)?

C.   What is the upper hinge (the 75th percentile)?

D.   What is the value of (HU – Median) / (Median – HL), where  HU is the upper hinge and HL is the lower hinge?

E.   This ratio indicates the skewness of the distribution. Is this distribution positively skewed or negatively skewed?

 


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2 things: first for each row (e.g. 15|1699), do we read this as the different first decimal place options of the set, e.g. this set is 15.1, 15.6, 15.9, and 15.9?

second, should we be using (.25)*x(12)+(.75)*x(13) for the first hinge, since 12.75=(50+1)/4?  If not, what am I missing?


 
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