Using the following data: 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7

  1. What is the mean of these data?
  2. What is the median?
  3. What are the mode or modes of these data?
  4. Are the data provided unimodal, bimodal, trimodal, polymodal or amodal (no mode)?
  5. What is the range and interquartile range of these data>

Using the following data: 7.2, 7.5, 7.1, 7.6, 8.2, 7.3, 7.7

  1. What is the mean of these data?
  2. What is the median?
  3. What are the mode or modes of these data?
  4. Are the data provided unimodal, bimodal, trimodal, polymodal or amodal (no mode)?
  5. What is the range and interquartile range of these data>
  6. A politician once famously promised to "raise everyone's wage above the average" in a campaign speech. Is this possible? Explain your answer briefly.
  7. If you answered yes, give a sample data set (at least 10 elements) to show how this can be possible. If you answered no, if there are 20 million wage earners, what is the minimum number of people who must be below average if everyone else is to earn over average wage?

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