In this exercise we shall look at some data from the 2005 M.Sc. questionnaire.
The following graph shows the distribution of alcohol consumed typically in a week:
1. Where are the mode, the lower tail and the upper tail of this distribution?
2. How would you describe the shape of the distribution and why?
3. Would you expect the median to be greater or less than the mean? From the graph, approximately what would you estimate the median and the mean to be? Where would they appear along the horizontal axis?
4. From the graph, approximately what would you estimate the standard deviation to be? How would the mean and standard deviation relate to the histogram? (N.B. The mean minus two standard deviations may be less than zero.)
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Last updated: 12 October, 2006.