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Quantitative Business

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Quantitative Business Analysis

The following is the descriptive statistics for the Motion Picture Industry Case study. The data set provided was used to calculate the median, mean and mode for the gross opening weekend. On the first graph you can see that for the opening gross the graph is skewed to the right so the median is the best central tendency measure rather than using the mean. The median opening gross was 0.39, which means 50% of the opening gross values were less than 0.39 and 50% were above 0.39. The opening gross was 3.43, which indicates a right tail. The kurtosis of the opening gross was 13.81, which indicates a leptokurtic distribution. This skew can be seen on the first histogram. The graphs are attached on the excel file as well. The opening gross range was 108.43, from 0.01 to 108.44. The standard deviation of opening gross was 18.87. The Interquartile Range, which calculates the range for the middle 50% of the values, is used to measure the variability. The Interquartile Range for the opening gross was 12.37.
The opening gross outliers were calculated on the box-plot and the extreme values were 108.44 which was Star Wars Episode 2, 102.69 Harry Potter and the Goblet of Fire, 77.06 war of the Worlds, 50.34 Mr. and Mrs. Smith, 48.75 Batman Begins, and 33.90 Wedding Crashers, The values are less than z-score of -3 or larger than z-score of +3 which is why they are considered outliers. War of the Worlds at 77.06, Harry Potter and the Goblet of Fire at 102.69 and Star Wars Episode 2 are considered outliers. The chart is attached on the excel file.
The total gross as seen in the histogram has a right tail so I used the mean for the calculations. The median total gross was 5.85; 50% of the total gross values were less than 5.85, which means that 50% were above the 5.85 mark. The skew of the total gross was 3.28 indicating a right

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