Lotka’s law is used in library science to describe the productivity of authors in a given field. The article “Lotka’s Law and Productivity Patterns of Authors in Biomedical Science in Nigeria onHIV/AIDS: a Bibliometric Approach” (The Electronic Library 2016: 789–807) provides the following frequency distribution for the number of articles written by various authors on HIV/AIDS over a fiveyear period in Nigeria:

a. Construct a histogram corresponding to this frequency distribution. What is the most interesting feature of the shape of the distribution?
b. What proportion of these authors published at least five papers? More than five papers?
c. Suppose the ten 10s and five 11s had been lumped into a single category displayed as “10+.” Would you be able to draw a histogram? Explain.
d. Suppose that instead of the values 10 and 11 being listed separately, they had been combined into a 10–11 category with frequency 15. Would you be able to draw a histogram? Explain.

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Number of papers Frequency Number of papers Frequency 1 650 7 23 2 90 8 17 3 73 9 15 4 40 10 10 5 35 11 5 6 30