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EDRM611: Applied Statistics

Homework for Statistics Lesson 3

Answer Completely.
 
The word about indicates horrendous
 calculations are not required.
Due Thu., July 14, 2005, 10:30:00.000, EDT.
 
Due on the teacher's desk in BH114.
  1. Use the binned (class interval/width of 5) U.S. Presidential Inauguration age data and find the mean. Since I likely still have your homework the distribution is as follows: 40-44: 2, 45-49: 6, 50-54: 13, 55-59: 12, 60-64: 7, and 65-69: 3.

     

     

  2. What is the mode 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?

     

     

  3. Compare the true mode for the inauguration ages of the U.S. presidents: with the mode obtained by using the binned data in problem 1 above (the midpoint of the modal interval).

     

     

  4. What is the median for the inauguration ages of the U.S. presidents given above?

     

     

  5. What is the midrange for the inauguration ages of the U.S. presidents given above?

     

     

  6. What is the range for the inauguration ages of the U.S. presidents given above? Did you use the definition in the handout or the definition on page 60 of the book? Identify the three different answers!

     

     

  7. About what is the 25th percentile (P25)for the inauguration ages of the U.S. presidents given above? One bonus point awarded for calculating and showing work for the value obtained via the Hinkle textbook formula (3.1) and data from problem 1.

     

     

  8. About what is the percentile rank for the age of 58 (PR58) in the inauguration ages of the U.S. presidents given above? One bonus point awarded for calculating and showing work for the value obtained via the Hinkle textbook formula (3.2) and data from problem 1.

     

     

  9. Using values computed above, determine the five number summary for the inauguration ages of the U.S. presidents.

     

     

  10. Sketch a box plot for the inauguration ages of the U.S. presidents.

     

     

  11. (Bonus) In a class of 30 students the average exam score is 70. The teacher throws out the exams with the top score (which was 90) and the bottom score (which was 22) and recomputes the average based on the remaining 28 exams. What is the new average?

     

     

  12. (Bonus) Starting with equation (3.1) on Hinkle page 48 solve it for p by following the usual rules of algebra. Compare this with equation (3.2).

     

     
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