Every corporation has a governing board of directors. The number of individuals on a board varies from one corporation to another. One of the authors of the article "Does Optimal Corporate Board Size Exist? An Empirical Analysis" (J. of Applied Finance, 2010: 57-69) provided the accompanying data on the number of directors on each board in a random sample of 204 corporations.

a. Construct a histogram of the data based on relative frequencies and comment on any interesting features.
b. Construct a frequency distribution in which the last row includes all boards with at least 18 directors. If this distribution had appeared in the cited article, would you be able to draw a histogram? Explain.
c. What proportion of these corporations have at most 10 directors?
d. What proportion of these corporations have more than 15 directors?

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No. directors:45 6 789 Frequency No. directors:10 11 12 13 14 15 Frequency: No. directors: 16 17 2 24 32 Frequency: 3 12 13 25 24 42 23 19 16 11 4