Descriptive statistics:
Opening Gross:
Several central tendency measures (i.e., mean, median, and mode) are calculated for opening gross in the Excel file. As can be seen in the below histogram, opening gross has a right tail (i.e., skewed to the right), so median would be a more appropriate central tendency measure than the mean. The median opening gross was 0.39; 50% of the opening gross values were less than 0.39, 50% were above 0.39. The skewness of opening gross was 3.43 indicating a right tail. The kurtosis of opening gross was 13.81 indicating a leptokurtic distribution.
The range of opening gross was 108.43, from 0.01 to 108.44. The standard deviation of opening gross was 18.87. However, because the distribution was skewed, interquartile range (IQR), which is the range for the middle 50% of the values, would be a more appropriate measure of variability. The interquartile range for opening gross was 12.37.
Opening Gross Outliers:
Based on the box-plot, extreme values were 108.44 (Star Wars: Episode II), 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). It is also suggested that values that are less than z-score of -3 or larger than z-score of +3 should be considered outliers. Using that criteria 77.06 (War of the Worlds), 102.69 (Harry Potter and the Goblet of Fire), and 108.44 (Star Wars: Episode II) can be considered outliers.
Total Gross:
Several central tendency measures (i.e., mean, median, and mode) are calculated for total gross in the Excel file. As can be seen in the below histogram, total gross has a right tail (i.e., skewed to the right), so median would be a more appropriate central tendency measure than the mean. The median total gross was 5.85; 50% of the total gross values were less than 5.85, 50% were above 5.85. The skewness of total