One of the variables in the HollywoodMovies2011 dataset is Profitability, which measures the proportion of the budget recovered in revenue from the movie. A profitability less than 1 means the movie did not make enough money to cover the budget, while a profitability greater than 1 means it made a profit.Aboxplot of the profitability ratings of all 136 movies is shown in Figure 2.39. (The largest outlier is the movie Insidious, which had a relatively small budget and relatively high gross revenue.)

Figure 2.39

(a) Describe the shape of the distribution.
(b) Estimate the range.
(c) Estimate the median. Interpret it in terms of profitability of movies.
(d) Do we expect the mean to be greater than or less than the median?

The dataset includes information on all 136 movies to come out of Hollywood in 2011.

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10 20 30 40 50 60 70 Profitablity