Project #5811 - oustats

 

  1. (a)  The file CUCKOOS2.OUS contains data on the breadth (in
    millimetres) of 243 cuckoo eggs. These data are grouped. What first
    interval starting value and interval width would you need to use to
    obtain a frequency diagram of these data that uses the same grouping
    as in the file? [
    2]

  2. (b)  Obtain a printout of a histogram of the data using the first interval
    starting value and interval width that you suggested in part (a).
    Suggest one reason, with a brief explanation, why a normal
    distribution might not be a suitable model for the variation in the
    data. [
    3]

  3. (c)  You are not required to do any calculations in this part of the question.

    1. (i)  On a separate diagram, but using a similar scale, sketch a curve
      that you think might be a suitable model for the variation in the
      breadth of cuckoo eggs. The curve that you draw should not be a
      normal curve. [
      2]

    2. (ii)  Explain with the aid of a sketch how you could use this model to
      estimate the proportion of cuckoo eggs that are between 15 mm
      and 16 mm in breadth. [
      3]

Subject Mathematics
Due By (Pacific Time) 05/08/2013 12:00 am
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