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Die Statistics Problem

  1. Oct 9, 2014 #1
    1. The problem statement, all variables and given/known data
    The following represents the outcomes of a rolling a die 600 times.

    FACE Number
    1 107
    2 120
    3 84
    4 110
    5 92
    6 87

    Given this data:

    A. What are the mean and median of appearances of each face?
    B. What are the mean and median face value of the 600 rolls of the die?
    C. Do the faces of the die represent a categorical or numerical variable?


    2. Relevant equations
    None.

    3. The attempt at a solution

    For (A) I got mean = 3.34 and median = 3

    For (B), I do not have a clue as to what the question is asking. I think I am missing something.

    For (C), I think that this is a categorical variable, since the numbers on the die are simply labels. But at the same time, it seems like a quantitative variable because you are able to calculate the mean and the median...

    If someone could clear up the ambiguities in this problem, I would appreciate it.
     
  2. jcsd
  3. Oct 9, 2014 #2

    phinds

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    I think your answer to A is actually the answer to B.
     
  4. Oct 10, 2014 #3

    haruspex

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    For C, you could consider answering Yes.
     
  5. Oct 10, 2014 #4

    RUber

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    A is asking for the mean and median frequencies.
    B is asking for the mean and median values (1-6)
    C is asking you to apply the definitions of categorical and numerical either to the best of your ability or to the expectation of the instructor. I would say that for the reasons you mentioned above, this is numerical (discrete).
     
  6. Oct 10, 2014 #5
    For (A), would the mean, then, be 100, and the median 99.5?
     
  7. Oct 10, 2014 #6

    RUber

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    That looks right to me. It is also what might be expected from 600 tosses of an unbiased die.
     
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