The following set of five numbers has an interesting property in that the mean = median =

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The following set of five numbers has an interesting property in that the mean = median = mode. 

11        14         14          15         16 

a. Write down five numbers in which:

(i) The mode is less than the median and the median is less than the mean

(ii) The mean is less than the mode and the mode is less than the median

(iii) The mode is less than the mean and the mean is less than the median. 

b. Justify why one of the above is not possible.

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