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EDRM611: Applied Statistics

Homework for Statistics Lesson 2

Answer Completely.
 
Hand-drawn graphs are expected,
 computer drawn are bonus.
Due Wed., July 13, 2005, 10:30:00.000, EDT.
 
Due on the teacher's desk in BH114.
  1. What are the advantages/disadvantages of coding nonnumeric categories, such as gender, numerically instead of with an M or an F?

     

     

  2. Is a word processor such as Word or Wordperfect with a variable pitch font a good choice for inputting a large amount of statistical data?

     

     

  3. Who developed Exploratory Data Analysis, such as stem-and-leaf diagrams, and when?

     

     

  4. Construct a stem-and-leaf diagram for the inauguration ages of the U.S. presidents: 57, 61, 57, 57, 58, 57, 61, 54, 68, 51, 49, 64, 50, 48, 65, 52, 56, 46, 54, 49, 51, 47, 55, 55, 54, 42, 51, 56, 55, 51, 54, 51, 60, 62, 43, 55, 56, 61, 52, 69, 64, 46, 54. Please stretch the data by splitting the stems by putting leaves of 0-4 on one stem and leaves of 5-9 on another. Please put the stems in decreasing order, the leaves in decreasing order, make no horizontal lines, and use no commas.

     

     

  5. Construct a frequency distribution for the inauguration ages of the U.S. presidents (listed above), using a class width of 1.

     

     

     

  6. Construct a frequency distribution for the inauguration ages of the U.S. presidents (listed in the problem above), using a class width of 5 with 49.5 as one of the exact limits (49 as one of the score limits).

     

     

     

  7. Graph the class width 5 frequency distribution for the inauguration ages of the U.S. presidents (from the problem above) putting age on the horizontal (x) axis and frequency on the vertical (y) axis. Use a scale of 4"x3" so that the three-quarters rule given in the text is adhered to. Do this as a histogram.

     

     

  8. Repeat the problem above using a frequency polygon.

     

     

  9. Assume the inauguration ages of the U.S. presidents given above are in inauguration order. Make a scatterplot of the (raw, unbinned) data using the president number as the independent variable (x) and inauguration age as the dependent variable (y).

     

     

  10. Would you describe the frequency polygon for the U.S. presidental inauguration age data as skewed left/right or normal, leptokurtic, platykurtic, or mesokurtic?

     

     

  11. (Bonus) A link was given for Eisenhower's inauguration age since two different values have been given by reliable sources. Why might there be a discrepancy? Is it important? Can both be true?

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