The Key Formulas for the central tendency measures are calculated for opening gross in the provided school Excel file. Opening gross has a right tail, so therefore the median would be more central tendency mean than the measure. 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 range of opening gross ranged from 0.01 to 108.44. The standard deviation of opening gross was 18.87. The interquartile range for opening gross was 12.37. Based on the opening gross the extreme values were 108.44, 102.69, 77.06, 50.34, 48.75 and 33.90. The values that are less than z-score of -3 or larger than z-score of +3 should be considered outliers. Therefore with that criteria 77.06, 102.69 and 108.44 are considered the outliers.
The range of total gross was from 0.03 to 380.18. The standard deviation of total gross was 63.16. The interquartile range for total gross was 47.03. Based on the total gross the extreme values were 380.18, 287.18, 234.21, 209.22, 205.28, and 186.22. The values are less than z-score of -3 or larger than z-score of +3 should be considered outliers. Therefore with that criteria 380.18, 287.18, and 234.21 are once again considered outliers.
The tendency measures are calculated for the number of theaters has a right tail so median would be a much more appropriate central tendency measure than the mean. The median was 410; 50% of values on the number of theaters were less than 410, 50% were above 410. The skewness of the number of theaters was 0.56 indicating a right tail. The range of the number of theaters was from 5 to 3910. The standard deviation of the number of theaters was 1378.69. The interquartile range for the number of theaters was 2580.75.
The weeks in top 60 has a right tail, so median would be a more appropriate central