Descriptive statistics (see “Key Formulas” in your textbook for a list) for each of the four variables along with an explanation of what the descriptive statistics tell us about the motion picture industry. When comparing the motion picture industry for their opening gross there are several central tendency measurements. The mean is 9.37, median is .3935, and mode is .03. We are comparing 100 different movies. The range of opening gross is 108.43, which is from .01 to 108.44. The standard deviation or SD is 18.87. The middle 50% of the values was skewed. This was determined by using the appropriate measure of variability. The interquartile range for opening gross is 12.37. Opening Gross Histogram:
When comparing the motion picture industry for their total gross there are several central tendency measurements. The mean is 33.0384, median is 5.852, and mode is .03, .04, .05, .11, .13, .42, and 56.07 (these all appear twice, therefore they are all equal). We are still comparing 100 different movies. The range for the total gross is 380.15, which is from .03 to 380.18. The standard deviation or SD is 63.16. 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 gross is 3.28. The kurtosis of total gross was 12.32. The interquartile range for total gross is 47.03. Total Gross Histogram:
When comparing the motion picture industry for the number of theaters there are several central tendency measurements. The mean is 1,277.94, median is 410, and mode is 15 and 202. The range for the total gross is 3,905, which is from 5 to 3,910. The standard deviation or SD is 1,378.689. The median is 410; 50% of values on the number of theaters were less than 410, 50% were above 410. The skewness of the number of theaters is 0.56. The kurtosis of the number of theaters is -1.35. The interquartile