1. Find the mean, median and mode for the following set of numbers:
    1. 1, 2, 3, 4, 5, 6, 7, 8, 9
    2. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
    3. -500, 350, 475, -300, -500, 450, 425, -400

     
  2. Find the mean, median and mode for the following set of numbers:
    1. 2, 2, 2, 3, 4, 4, 4
    2. 40, 40, 40, 40, 100, 100, 160, 160, 160, 160
    3. x,  x,  x,  x,  x + y,  x + y,  x + 2y,  x + 2y,  x + 2y,  x + 2y

     
  3. Find the mean, median, and mode for the following set of numbers:
    1. 1, 1, 1, 1, 1, 1, 1, 1, 1, 191
    2. 1/2,  3/4,  2/3,  -1/6,  3/8,  5/6
    3. x,  x,  x,  x,  x,  x,  x,  x,  x,  x + 1000

     
  4. Consumer Reports listed the "Overall mpg" gasoline ratings for the following fourteen 2001 model SUV's (Sport-Utility Vehicles):
      Auto Make & Model    mpg      Auto Make & Model    mpg 
      BMW X5     15     Jeep Grand Cherokee     15  
      Mercedes-Benz ML-320     19     Lincoln Navigator     13  
      Lexus RX300     19     Cheverolet Blazer     15  
      Mercedes-Benz ML-430     15     GMC Jimmy     15  
      Cheverolet Surburban     13     Honda Passport     18  
      GMC Yukon XL     13     Isuzu Rodeo     18  
      Toyota Land Cruiser     14     Ford Excursion     10  
    What are the mean, median and mode values for the autos' gas mileage ratings?

     
  5. A pilot logged the following flight hours as a student-pilot in order to obtain his private pilot's license.
     0.9   1.1   1.0   1.3   1.5   1.4   1.3   0.4   1.2   1.3   1.4   1.3 
     1.4   1.2   1.1   1.7   0.5   1.2   1.6   1.1   1.4   3.2   1.6   1.0 
     2.8   4.6   2.0   1.5   1.5   1.1   3.1   1.2   1.6   1.4   1.7   1.4 
     1.3   1.1   1.4   0.7   1.2   1.2   1.4   1.4   1.2   0.9   1.7   1.4 
    Find the mean, median and mode for the number of flight hours flown as a student pilot.

     
  6. Two bowlers, Steven Studley and Clara Cool, played six games with the following results:
     Bowler   Game 1   Game 2   Game 3   Game 4   Game 5   Game 6 
      S. S. 185 135 200 185 250 155
      C. C. 182 185 188 185 180 190
    1. What are the mean, median, and mode scores for Steven Studley?
    2. What are the mean, median, and mode scores for Clara Cool?

     
  7. Refer to exercise 6 (above) for each of the following:
    1. What are the range and standard deviation for Steven Studley's bowling scores?
    2. What are the range and standard deviation for Clara Cool's bowling scores?
    3. What conclusion(s) can you draw about comparing the values of the range and standard deviation for the two bowlers that "corresponds" simply to your observations about their original bowling scores in the table?

 


  1.  
      range (r) variance (σ 2) std. dev. (σ)
    a. 8 6 2/3 Ö20/3  ~  2.6
    b. 9 8 1/4 Ö33/2  ~  2.9
    c. 975 185,156.25 25Ö1185/2  ~  430

  2.  
      range (r) variance (σ 2) std. dev. (σ)
    a. 2 6/7 Ö6/7  ~  0.9  
    b. 120 2880 24Ö5  ~  54
    c. 2y 4y 2/5 2y /Ö5  ~  0.9y

  3.  
      range (r) variance (σ 2) std. dev. (σ)
    a. 190 3249 57  
    b. 1 2285/20,736  ~  0.11   Ö2285/144  ~  0.33
    c. 1000 98,100 30Ö109  ~  313
  4. 9 mpg   and   Ö307/7 mpg  ~  2.5 mpg

     
  5. 4.2 hr,   and   approx. 0.7 hr

     
  6. $40,000   and   $250Ö2441  ~  $12,351.62

     
  7.  
    a. $540,000 b. $36,000Ö14  ~  $134,700