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EDRM611: Applied Statistics

Activity for Statistics Lesson 2

  1. Take a single die and roll it 24 times, tallying the number of pips on the up face for each roll. Give the results on the reverse side of this sheet in a frequency table.

     

     

  2. Combine your results with the other students and present this information on the reverse side of this sheet as a bar graph. What kind of distribution is it?

     

     

  3. Rolling a standard six-sided (fair) die once would have a sample space with six outcomes: 1, 2, 3, 4, 5, and 6. Rolling a pair of dice would have a sample space of six times six (62) or 36 possible outcomes. Let's construct below right the sample space of rolling a pair of dice. In each grid location (square) we must place both the indicated outcome of the green AND the indicated outcome of the red die.

    \     1         2         3         4         5         6    
     1            
     2            
     3        (4,3   
     4      (3,4     
     5            
     6            
    Notice that green=3 and red=4 differs from green=4 and red=3. These are like ordered pairs, with the first coordinate the horizontal component (green die) and the second coordinate the vertical (red die). [Note: this convention is in conflict with the convention of (row,column). Please be sure to generate these consistant with those already in the table.]

     

     

  4. Tally the number of times each pip total occurs in the 6×6 table above.

     

     

  5. Display the results from the problem above in the form of a bar graph. What kind of distribution is this?

     

     

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