Motion Picture Industry, business & finance homework help

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Option 1 - Motion Picture Industry

The motion picture industry is a competitive business. More than 50 studios produce a total of 300 to 400 new motion pictures each year, and the financial success of each motion picture varies considerably. Gross sales for the opening weekend, the total gross sales, the number of theaters the movie was shown in, and the number of weeks the motion picture was open are common variables used to measure the success of a motion picture. Data collected for a sample of 100 motion pictures produced in 20XX are contained in the file named Movies, linked at the bottom of the page. Use all 100 data points.

Managerial Report
Prepare a report (see below) using the numerical methods of descriptive statistics presented in this module to learn how each of the variables contributes to the success of a motion picture. Be sure to include the following three (3) items in your report.

  1. Descriptive statistics (mean, median, range, and standard deviation) for each of the four variables along with an explanation of what the descriptive statistics tell us about the motion picture industry.
  2. Use the z-score to determine which movies, if any, should be considered high-performance outliers in each of the four variables. If there are any outliers in any category, please list them and state for which category they are an outlier. Describe which method you used to make your determination.
  3. Descriptive statistics (correlation coefficient) showing the relationship between total gross sales and each of the other three variables. Evaluate the relationships between total gross sales and each of the other three variables. Use tables, charts, graphs, or visual dashboards to support your conclusions.

Write a report that adheres to the Written Assignment Requirements under the heading “Expectations for CSU-Global Written Assignments” found in the CSU-Global Guide to Writing and APA Requirements. As with all written assignments at CSU-Global, you should have in-text citations and a reference page. An example paper is provided in the MTH410 Guide to Writing with Statistics, linked at the bottom of the page. (ATTACHED)

Your report must contain the following:

  • A title page in APA style.
  • An introduction that summarizes the problem.
  • The body of the paper should answer the questions posed in the problem by communicating the results of your analysis. Include results of calculations, as well as charts and graphs, where appropriate.
  • A conclusion paragraph that addresses your findings and what you have determined from the data and your analysis.

Submit your Excel file in addition to your report.

Unformatted Attachment Preview

Rank 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 Movie Title Opening Gross Toy Story 3 110.307.189 Alice in Wonderland (2010) 116.101.023 Iron Man 2 128.122.480 The Twilight Saga: Eclipse 64.832.191 Harry Potter and the Deathly Hallows Part 1 125.017.372 Inception 62.785.337 Despicable Me 56.397.125 Shrek Forever After 70.838.207 How to Train Your Dragon 43.732.319 Tangled 48.767.052 The Karate Kid 55.665.805 Tron Legacy 44.026.211 True Grit 24.830.443 Clash of the Titans (2010) 61.235.105 Grown Ups 40.506.562 Little Fockers 30.833.665 Megamind 46.016.833 The King's Speech 355.450 The Last Airbender 40.325.019 Shutter Island 41.062.440 The Other Guys 35.543.162 Salt 36.011.243 Jackass 3-D 50.353.641 Valentine's Day 56.260.707 Black Swan 1.443.809 Robin Hood 36.063.385 The Chronicles of Narnia: The Voyage of the Dawn Treader 24.005.069 The Expendables 34.825.135 Due Date 32.689.406 Yogi Bear 16.411.322 Date Night 25.207.599 The Social Network 22.445.653 Sex and the City 2 31.001.870 The Book of Eli 32.789.494 The Fighter 300.010 The Town 23.808.032 Prince of Persia: The Sands of Time 30.095.259 Red 21.761.408 Percy Jackson & The Olympians: The Lightning Thief 31.236.067 Paranormal Activity 2 40.678.424 Unstoppable 22.688.457 Eat Pray Love 23.104.523 Dear John 30.468.614 Total Gross 415.004.880 334.191.110 312.433.331 300.531.751 295.983.305 292.576.195 251.513.985 238.736.787 217.581.231 200.821.936 176.591.618 172.062.763 171.243.005 163.214.888 162.001.186 148.438.600 148.415.853 135.453.143 131.772.187 128.012.934 119.219.978 118.311.368 117.229.692 110.485.654 106.954.678 105.269.730 104.386.950 103.068.524 100.539.043 100.246.011 98.711.404 96.962.694 95.347.692 94.835.059 93.617.009 92.186.262 90.759.676 90.380.162 88.768.303 84.752.907 81.562.942 80.574.010 80.014.842 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 The A-Team Knight & Day Dinner for Schmucks The Tourist The Bounty Hunter Diary of a Wimpy Kid The Sorcerer's Apprentice A Nightmare on Elm Street (2010) The Last Song The Wolfman Get Him to the Greek Resident Evil: Afterlife Tyler Perry's Why Did I Get Married Too? Tooth Fairy Secretariat Easy A Takers Legend of the Guardians: The Owls of Ga'Hoole Life as We Know It Letters to Juliet Wall Street: Money Never Sleeps Predators Hot Tub Time Machine Kick-Ass Killers Saw 3D Cop Out Cats & Dogs: The Revenge of Kitty Galore Edge of Darkness Gulliver's Travels Death at a Funeral (2010) Step Up 3-D The Last Exorcism Hubble 3D Legion (2010) Burlesque The Crazies For Colored Girls The Back-Up Plan Vampires Suck The American Green Zone Marmaduke Devil 25.669.455 20.139.985 23.527.839 16.472.458 20.686.423 22.126.166 17.619.622 32.902.299 16.007.426 31.479.235 17.570.955 26.650.264 29.289.537 14.010.409 12.694.770 17.734.040 20.512.304 16.112.211 14.506.464 13.540.486 19.011.188 24.760.882 14.020.502 19.828.687 15.837.266 22.530.123 18.211.126 12.279.363 17.214.384 6.307.691 16.217.540 15.812.311 20.366.613 413.477 17.501.625 11.947.744 16.067.552 19.497.324 12.201.710 12.202.831 13.177.790 14.309.295 11.599.661 12.289.375 77.222.099 76.423.035 73.026.337 67.631.157 67.061.228 64.003.625 63.150.991 63.075.011 62.950.384 61.979.680 60.974.475 60.128.566 60.095.852 60.022.256 59.713.955 58.401.464 57.744.720 55.675.313 53.374.681 53.032.453 52.474.616 52.000.688 50.287.556 48.071.303 47.059.963 45.710.178 44.875.481 43.585.753 43.313.890 42.779.261 42.739.347 42.400.223 41.034.350 40.408.090 40.168.080 39.440.655 39.123.589 37.729.698 37.490.007 36.661.504 35.606.376 35.053.660 33.644.788 33.601.190 88 89 90 91 92 93 94 95 96 97 98 99 100 Hereafter When in Rome Love and Other Drugs She's Out of My League Scott Pilgrim vs. the World Charlie St. Cloud Morning Glory How Do You Know Daybreakers Nanny McPhee Returns The Switch Brooklyn's Finest Machete 220.322 12.350.041 9.739.161 9.775.278 10.609.795 12.381.585 9.203.266 7.484.696 15.146.692 8.407.685 8.436.713 13.350.299 11.416.164 32.746.941 32.680.633 32.367.005 32.010.860 31.524.275 31.162.545 31.011.732 30.212.620 30.101.577 29.011.215 27.779.426 27.163.593 26.593.646 Theaters Weeks 4.028 24 3.739 18 4.390 15 4.468 16 4.125 20 3.792 25 3.602 28 4.386 16 4.060 17 3.603 27 3.740 15 3.451 17 3.464 18 3.802 16 3.534 18 3.675 12 3.949 16 2.584 18 3.203 12 3.356 16 3.651 15 3.612 14 3.139 14 3.665 12 2.407 22 3.505 12 3.555 18 3.398 10 3.365 12 3.515 16 3.380 22 2.921 22 3.445 12 3.111 17 2.534 16 2.935 16 3.646 17 3.349 16 3.396 20 3.239 13 3.261 17 3.108 12 3.062 12 3.544 3.104 3.046 2.756 3.118 3.083 3.504 3.332 2.794 3.223 2.702 3.209 2.155 3.345 3.108 2.974 2.206 3.575 3.150 2.975 3.597 2.669 2.771 3.065 2.859 2.808 3.150 3.705 3.066 3.089 2.459 2.439 2.874 151 2.476 3.037 2.479 2.127 3.280 3.233 2.833 3.004 3.213 2.811 14 15 11 13 16 22 15 11 15 7 10 8 10 22 18 14 12 17 16 15 12 14 11 11 11 5 12 12 10 16 12 13 6 189 8 11 12 11 13 12 9 8 15 9 2.424 2.456 2.458 2.958 2.820 2.725 2.544 2.483 2.523 2.798 2.017 1.939 2.678 13 11 12 10 8 7 10 6 5 10 13 11 11 Running head: GUIDE TO WRITING WITH STATISTICS MTH410 Guide to Writing with Statistics CSU-Global Campus October, 2014 1 GUIDE TO WRITING WITH STATISTICS 2 Introduction The purpose of this paper is to provide some general guidance in the writing of papers using statistics and associated tests. The paper provides some general tips for writing and the use of statistics. An example prompt is included, followed by a sample paper. General Tips for Writing a Math Paper: • • • • • • • • Organization: o Turn your prompt into headings for paper sections. This will help you to make sure you include all of the required information and analysis. It also helps the reader identify the material. o Your paper needs: ▪ A separate title page using APA style requirements (running header, page numbers, course, instructor, your name, date, etc.). ▪ An introduction (often a summary or abstract of the problem). ▪ A body of the paper that answers the questions posed in the problem and includes calculations and graphs associated with this problem. This is where you can turn your prompt into headings. All references need to be properly cited. ▪ A conclusion paragraph that addresses your findings and what you have determined from the data and your analysis. ▪ A separate sheet for references. o There are templates that use APA style that you can insert your material into. If you really struggle with formatting, this may be an option for your first paper or two. If you use a template, remember to double-check it to remove any extra instructions or pages or other elements that weren’t used. In general, numbers less than 10 are to be written in word form. However, if you have numbers in this range that carry decimals, write them in numeral form. Never use or interpret a statistic or test that you don’t fully understand. Target your audience and present as much information as necessary to allow the reader to make an independent interpretation. Make use of graphs and tables to display information in an easily understood manner. Format them the same throughout, and make sure you don’t manipulate axes. If you are referring to a statistic that is less commonly used, explain how you calculated it. (It is not necessary to explain mean, but it may be necessary to explain how you set up an ANOVA test.) Be clear about your sample and its corresponding population. Be direct in writing descriptive statistics (The mean in Group A is 22.9 units.). GUIDE TO WRITING WITH STATISTICS • • 2 Translate the meaning of the statistic for the reader. Write plainly and then back it up with statistical evidence. For example: Men and women scored equally well on this study (t = 0.25, p < 0.01). For additional resources see the CSU-Global Guide to Writing and APA Requirements or visit https://owl.english.purdue.edu/owl/owlprint/672/ GUIDE TO WRITING WITH STATISTICS 3 Prompt for Sample Paper: Critical Thinking: Heavenly Chocolates Website transactions are an important segment of sales and distribution today. Heavenly Chocolates manufactures and sells quality chocolates at its plant and retail store in Bozeman, MT. Three years ago, the company developed a website and began sales on the internet. Website sales have exceeded expectations and management is now considering strategies to continue to increase its sales. To learn more about its sales, Heavenly Chocolates selected a sample of 50 random transactions from its previous month’s sales. The transaction data shows the day of the week the purchase was made, the type of browser used in the transaction, the time spent on the website, the number of website pages viewed, and the amount spent by the customer. The data is shown in a file named Chocolate. Heavenly Chocolates would like to determine if time spent on the website or the number of pages viewed influence the total purchase. They would also like to examine any effect that day of the week and browser type have on sales. Managerial Report Prepare a report (see below) using the numerical methods of descriptive statistics presented in this module to learn how the variables contribute to the sales of chocolate. Be sure to include the following four (4) items in your report. 1. Descriptive statistics (mean, median, range, and standard deviation) for each of the three variables along with an explanation of what the descriptive statistics tell us about the sales. 2. A breakdown using descriptive statistics examining the effect of days of the week on sales. Evaluate the results. 3. A breakdown using descriptive statistics examining the effect of browser type on sales. Evaluate the results. 4. Descriptive statistics (correlation coefficient) showing the relationship between sales (in dollars), and each of the other two variables. Evaluate the relationships between sales (in dollars) and each of the other variables (time spent and pages visited). Use tables, charts, graphs, or visual dashboards to support your conclusions. Make recommendations for continuing to develop sales to the management. Write a report that adheres to the Written Assignment Requirements under the heading “Expectations for CSU-Global Written Assignments” found in the CSU-Global Guide to Writing and APA Requirements. As with all written assignments at CSU-Global, you should have in-text citations and a reference page. Your report must contain the following: • • A title page An introduction GUIDE TO WRITING WITH STATISTICS • • 4 A body of the paper that answers the questions posed in the problem and calculations and graphs associated with this problem. A conclusion paragraph that addresses your findings and what you have determined from the data and your analysis. Submit your Excel file in addition to your report. Note: Prompt adapted from the “Heavenly Chocolate Website Transactions Case Problem 4,” D. Anderson, D. Sweeney, T. Williams, J. Camm, & J. Cochran, 2015, Essentials of statistics for business and economics. (7th ed.), p. 167,168. The following pages contain the sample paper corresponding to the prompt written above. Read through it for ideas on how to write your own papers. HEAVENLY CHOCOLATES WEB SALES ANALYSIS (Sample) Heavenly Chocolates Web Sales Analysis Student Name MTH410 – Quantitative Business Analysis Colorado State University–Global Campus Instructor Name Date 1 HEAVENLY CHOCOLATES WEB SALES ANALYSIS (Sample) 2 Heavenly Chocolates Web Sales Analysis Website transactions are an important segment of sales and distribution today. Any business developing a market for online sales would be wise to analyze data from both the general marketplace and its own specific customer segment. Analysis of this data can provide insight into further development of sales. Heavenly Chocolates data-mined their transactions for the previous month to gather a random sample of 50 customer transactions. The sample recorded the day of the week the purchase was made, the type of browser used in the transaction, the time spent on their website, the number of website pages viewed, and the amount spent by the customer. The purpose of this analysis is to determine if the time spent on the website or the number of pages viewed influences the total purchase. The impact of day of the week and browser type on sales will also be studied. Overview of Online Sales The 50 customers sampled spent a total of $3,406.41 in the previous month. This is an average of $68.10 per customer. The purchases ranged from a $17.80 to $158.50. The average customer spent 12.8 minutes on the website. Time spent on the website ranged from 4.3 minutes to 32.9 minutes. The typical customer viewed almost five pages, with two as the minimum and ten as the maximum. The data set is summarized below in Table 1. Table 1 Summary of Online Sales Sample Time (min) Pages Viewed Amount Spent ($) mean 12.8 4.8 68.1 median 11.4 4.5 62.2 std dev 6.1 2 32.3 min 4.3 2 17.8 HEAVENLY CHOCOLATES WEB SALES ANALYSIS (Sample) 3 Table 1 Summary of Online Sales Sample (Continued) Time (min) Pages Viewed Amount Spent ($) max 32.9 10 158.5 range 28.6 8 140.7 SUM ($) 3406.41 Note: Data compiled from the “Heavenly Chocolate Website Transactions Case Problem 4,” D. Anderson, D. Sweeney, T. Williams, J. Camm, & J. Cochran, 2015, Essentials of statistics for business and economics. (7th ed.), p. 167,168. Impact of Day of the Week on Sales The daily sales breakdown reveals some interesting patterns. Sunday is the lowest sales day, from the perspective of both total sales ($218.15) and average sales ($43.60). Monday and Friday were the best days in terms of overall sales performance. Monday had the highest mean (average) sales at $90.40, while Friday had the highest total sales at $945.43 for roughly 28% of the sample total. See Table 2 for a complete breakdown of the impact of the day of the week on amount spent, time spent on the website, and number of pages viewed. Table 2 Breakdown of Sales by Day of the Week Sun Mon Tues Wed Thurs Fri Sat Total mean 43.6 90.4 59.3 57 58.8 85.9 54.1 68.1 median 37.2 104.2 67.4 53.4 59.2 70.4 55.6 62.2 std dev 12.8 43.5 14.6 24.5 30.4 33.9 17.7 32.3 min 32.7 26.7 39.1 32.7 17.8 52.1 27.9 17.8 max 64.2 158.5 74.4 94.9 91.6 155.3 78.6 158.5 range 31.4 131.8 35.4 62.2 73.8 103.2 50.7 140.7 count 5 9 7 6 5 11 7 50 Total Sales HEAVENLY CHOCOLATES WEB SALES ANALYSIS (Sample) 4 Table 2 Breakdown of Sales by Day of the Week (Continued) Sun SUM ($) 218.15 Mon Tues Wed Thurs Fri Sat Total 813.38 414.86 341.82 294.03 945.43 378.74 3,406.41 Time Spent mean 11.4 15.3 12.7 12.4 10.9 12.3 13.2 12.8 median 11.7 13.3 10.6 12 8.1 9.7 13.3 11.4 std dev 2.2 7.4 6 4.8 7.1 7.8 4.3 6.1 min 8 7.3 7.8 5 6.2 4.3 6 4.3 max 14.3 30.1 24.7 19.5 23.3 32.9 18.1 32.9 range 6.3 22.8 16.9 14.5 17.1 28.6 12.1 28.6 Pages Viewed mean 4.2 6.4 4 4.2 3.8 4.8 5.3 4.8 median 4 6 4 4.5 4 4 5 4.5 std dev 1.9 2.1 2.1 1.5 2 2.3 1.1 2 min 2 4 2 2 2 3 4 2 max 7 10 7 6 7 10 7 10 range 5 6 5 4 5 7 3 8 Note: Data compiled from the “Heavenly Chocolate Website Transactions Case Problem 4,” D. Anderson, D. Sweeney, T. Williams, J. Camm, & J. Cochran, 2015, Essentials of statistics for business and economics. (7th ed.), p. 167,168. By almost every measure, Monday is the best day for sales. Friday follows closely (see Table 2). It makes logical sense to recommend that the marketing department develop advertising targeted for Monday and Friday. Weekends are subpar and midweek statistics are nearly equivalent. Targeting sales or special packages for midweek may produce some increased traffic. If these recommendations are implemented, follow-up analysis is recommended to see if the desired results are being produced. HEAVENLY CHOCOLATES WEB SALES ANALYSIS (Sample) 5 Impact of Browser on Sales There were also sales differences revealed by breaking the data down by browser type. Customers using Internet Explorer to complete their transactions accounted for the highest total sales at $1,656.81; however, this value was achieved on volume (see Table 3). Internet Explorer had the lowest average sale at $61.36 while Firefox customers averaged $76.80 per transaction. Table 3 Breakdown of Sales by Browser Firefox Internet Explorer Other Total mean 76.8 61.36 74.5 68.1 median 68 55.6 67.4 62.2 std dev 38.9 29.2 24.6 32.3 min 27.9 17.8 52.2 17.8 max 158.5 126.4 120.3 158.5 range 130.6 108.6 68.1 140.7 count 16 27 7 50 SUM ($) 1,228.21 1,656.81 521.39 3,406.41 Note: Data compiled from the “Heavenly Chocolate Website Transactions Case Problem 4,” D. Anderson, D. Sweeney, T. Williams, J. Camm, & J. Cochran, 2015, Essentials of statistics for business and economics. (7th ed.), p. 167,168. The opportunity here is to target premium packages for advertising specific to Firefox. Value packages could be created for advertising specific to Internet Explorer. This promotion should be combined with the recommendations given regarding days of the week and subjected to a follow-up analysis to check for results. Relationship between Amount Spent and Website Use The other feature of this analysis is to evaluate the relationship between amount spent by customers and how much time they spent on the website with the additional variable of number HEAVENLY CHOCOLATES WEB SALES ANALYSIS (Sample) 6 of pages viewed also taken into account. For this, a correlation analysis was performed. The correlation coefficient between time spent on the website and amount spent in dollars was moderately positive (r = 0.58). A similar moderately positive correlation coefficient (r = 0.60) was found between the variables of time spent on the website and number of pages visited. The strongest correlation was found between number of pages viewed on the website and amount spent. This correlation coefficient (r = 0.72) approaches a strong positive correlation (see Figure 1). This suggests that there may be some merit in trying to guide customers to view more pages. 180.00 160.00 Dollars Spent 140.00 120.00 100.00 80.00 60.00 40.00 20.00 0.00 0 2 4 6 8 10 12 Pages Viewed Figure 1. Relationship Between Pages Viewed and Dollars Spent. Data compiled from the “Heavenly Chocolate Website Transactions Case Problem 4,” D. Anderson, D. Sweeney, T. Williams, J. Camm, & J. Cochran, 2015, Essentials of statistics for business and economics. (7th ed.), p. 167,168. A common tactic is to guide customers to pages that have also been viewed by other customers viewing the product on the current page. Another suggestion is to pair pages and suggest that customers who purchased the product on the current page also frequently purchased a product on the linked page. As with previous suggestions, follow-up analysis should be performed to check results. On a cautionary note, this can be overdone. The statement from HEAVENLY CHOCOLATES WEB SALES ANALYSIS (Sample) 7 Essentials of Statistics for Business and Economics that correlation is a measure of linear association and not causation should also be duly noted (Anderson, et al., 2015). Conclusion The analysis of this sample of 50 random customer transactions revealed several items to be used in the development of continued growth at Heavenly Chocolate. There is positive correlation between all three variables, but the strongest correlation is between number of pages viewed and amount of sales. There is adequate reason to pursue linking pages and making suggestions for customer purchasing. Monday and Friday are the best sales days. Firefox customers spend the most, but Internet Explorer customers provide the highest volume. Packaging and marketing strategies can be developed using this information. This analysis validates the use of statistical tools to provide insight into new strategies. Follow-up analysis is also mandated to find out if the strategies are producing results. HEAVENLY CHOCOLATES WEB SALES ANALYSIS (Sample) References Anderson, D.R., Sweeney, D.J., Williams, T.A., Camm, J.D., & Cochran, J.J. (2015). Essentials of statistics for business and economics. (7th ed.). Stamford, CT: Cengage Learning. 8
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Report Title:
CSU-Global Campus
August, 2017

Introduction
After collecting data for statistical test, the data should analyzed to understand its properties.
Properties of the data can be analyzed and understood based on the descriptive statistical measures
including mean, median, mode, range, standard deviation, correction etc. (Keller, 2014). Also, outliers in
the data set, if any, should pointed out and removed to make the results of future statistical tests reliable.
This paper aims at measuring descriptive statistics, finding out the outlier values, and observing
the association in among the valuables (opening gross sales, total gross sales, total number of theaters in
which movie has been displayed, and total number of weeks for which movie was displayed )in the data
set of 100 movies of Hollywood.
Analysis of Data of Movies
Descriptive Statistics
Measures of Central Location
Mean and median are the measures of central locations. Mean is the central or typical value in a
dataset (Keller, 2014). Median is the central (middle) value when values are ranked or ordered from the
ascending or descending order (Shenoy, Srivastava, & Sharma, 2005).
The mean of opening gross sales, total gross sales, total number of theaters in which movie has
been displayed, and total number of weeks for which movie was displayed are $27723302.22,
$93060788.74, 3110.74 theaters, and 15.71 weeks respectively (Figure 1). The mean of the opening gross
sales, total gross sales, total number of theaters in which movie has been displayed, and total number of
weeks for which movie was displayed of $27723302.22, $93060788.74, 3110.74 theaters, and 15.71
weeks respectively imply that central or typical value of the opening gross sales, total gross sales, total
number of theaters in which movie has been displayed, and total number of weeks for which movie was
displayed are $27723302.22, $93060788.74, 3110.74 theaters, and 15.71 weeks.
The median of opening gross sales, total gross sales, total number of theaters in which movie has
been displayed, and total number of weeks for which movie was displayed are $20439458.50,
$63113001.00, 3114.50 theaters, and 13.00 weeks respectively (Figure 1). The median value of the

opening gross sales, total gross sales, total number of theaters in which movie has been displayed, and
total number of weeks for which movie was displayed of $20439458.50, $63113001.00, 3114.50 theaters,
and 13.00 weeks respectively imply that the central (middle) value when values of the opening gross
sales, total gross sales, total number of theaters in which movie has been displayed, and total number of
weeks for which movie was displayed are ranked or ordered from the ascending or descending order are
$20439458.50, $63113001.00, 3114.50 theaters, and 13.00 weeks respectively.

Descriptive Statistics (Measure of Central Location)
Particulars
Opening Gross
Total Gross
Theaters
Measure of Central
Location:
Mean
Median

27723302.22
20439458.50

93060788.74
63113001.00

3110.71
3114.50

Weeks

15.71
13.00

Figure 1: Descriptive Statistics (Measure of Central Location)
Measures of Dispersion
Range and standard deviation are the measures of dispersion of a data set. Range is the difference
of maximum and minimum value of the data set (Keller, 2014). Standard deviation is the spread of a data
value from the mean of the data set (Shenoy, Srivastava, & Sharma, 2005).
The range of opening gross sales, total gross sales, total number of theaters in which movie has
been displayed, and total number of weeks for which movie was displayed are $127902158.00,
$388411234.00, 4317.00 theaters, and 184 weeks respectively (Figure 2). The range of the opening gross
sales, total gross sales, total number of theaters in which movie has been displayed, and total number of
weeks for which movie was displayed reflects the difference of maximum and minimum value of the
opening gross sales, total gross sales, total number of theaters in which movie has been displayed, and
total number of weeks for which movie was displayed of 100 movies.
The standard deviation of opening gross sales, total gross sales, total number of theaters in which
movie has been displayed, and total number of weeks for which movie was displayed are $24189997.60,
$76836277.43, 603.45 theaters, and 18.08 weeks respectively (Figure 2). The standard deviation value of

the opening gross sales, total gross sales, total number of theaters in which movie has been displayed, and
total number of weeks for which movie was displayed of $24189997.60, $76836277.43, 603.45 theaters,
and 18.08 weeks imply that the value of the opening gross sales, total gross sales, total number of theaters
in which movie has been displayed, and total number of weeks for which movie was displayed are ranked
or ordered from the ascending or descending order can deviate from the mean value by $24189997.60,
$76836277.43, 603.45 theaters, and 18.08 weeks respectively.

Descriptive Statistics (Measure of Dispersion)
Particulars
Opening Gross
Total Gross
Theaters
Measure of
Dispersion:
Range
127902158.00 388411234.00
4317.00
Standard Deviation
24189997.60 76836277.43
603.45

Weeks

184.00
18.08

Figure 2: Descriptive Statistics (Measure of Dispersion)
Outlier in the Dataset
Outlier refers to an observation which is distant from the rest of the observation in a data set
(Keller, 2014). Outliers are markedly deviated observations from the others observations in the data set.
The existence of outliers in the data set affects the outcome of the statistical test. Three ways detect the
outliers in a data set include Z test, modified Z test, and IQR model (NIST SEMATECH, 2016).
Under the Z score model, the value of Z score for each observation is determined. Any z-score
greater than 3 or less than -3 can be treated as an outlier (Ctspedia, 2017). In the data set of 100 movies,
the outlier have found out for Toy Story 3, and Alice in Wonderland (2010) with respect to opening gross
sales and total gross sales, Iron Man 2, and Harry Potter and the Deathly Hallows Part 1with respect to
opening gross sales, and Hubble 3D with respect to total number of theaters in which movie has been
displayed, and total number of weeks for which movie was displayed (implied from the higher value of Z
score than 3) (Figure 3). As for all these, Z score are more than three, the data set are said to be positively
skewed (right skewed) for these outliers (Ross, 2014).

Movie Title
Toy Story 3
Alice in Wonderland
(2010)
Iron Man 2
The Twilight Saga:
Eclipse
Harry Potter and the
Deathly Hallows Part 1
Inception
Despicable Me
Shrek Forever After
How to Train Your
Dragon
Tangled
The Karate Kid
Tron Legacy
True Grit
Clash of the Titans (2010)
Grown Ups
Little Fockers
Megamind
The King's Speech
The Last Airbender
Shutter Island
The Other Guys
Salt
Jackass 3-D
Valentine's Day
Black Swan
Robin Hood
The Chronicles of Narnia:
The Voyage of the Dawn
Treader
The Expendables
Due Date
Yogi Bear
Date Night
The Social Network
Sex and the City 2

Z Score
Opening
Total Gross
Gross
3.41
4.19
3.95
3.14

Theaters

Weeks

1.52
1.04

0.46
0.13

5.30
-2.61

2.86
2.70

2.12
2.25

-0.04
0.02

4.17

2.64

1.68

0.24

2.60
2.33
2.93
1.81

2.60
2.06
1.90
1.62

1.13
0.81
2.11
1.57

0.51
0.68
0.02
0.07

2.02
2.30
1.82
1.03
2.53
1.67
1.27
1.90
0.01
1.67
1.70
1.47
1.49
2.08
2.33
0.06
1.49
0.99

1.40
1.09
1.03
1.02
0.91
0.90
0.72
0.72
0.55
0.50
0.45
0.34
0.33
0.31
0.23
0.18
0.16
0.15

0.82
1.04
0.56
0.59
1.15
0.70
0.94
1.39
-0.87
0.15
0.41
0.90
0.83
0.05
0.92
-1.17
0.65
0.74

0.62
-0.04
0.07
0.13
0.02
0.13
-0.21
0.02
0.13
-0.21
0.02
-0.04
-0.09
-0.09
-0.21
0.35
-0.21
0.13

1.44
1.35
0.68
1.04
0.93
1.28

0.13
0.10
0.09
0.07
0.05
0.03

0.48
0.42
0.67
0.45
-0.31
0.55

-0.32
-0.21
0.02
0.35
0.35
-0.21

The Book of Eli
The Fighter
The Town
Prince of Persia: The
Sands of Time
Red
Percy Jackson & The
Olympians: The Lightning
Thief
Paranormal Activity 2
Unstoppable
Eat Pray Love
Dear John
The A-Team
Knight & Day
Dinner for Schmucks
The Tourist
The Bounty Hunter
Diary of a Wimpy Kid
The Sorcerer's Apprentice
A Nightmare on Elm
Street (2010)
The Last Song
The Wolfman
Get Him to the Greek
Resident Evil: Afterlife
Tyler Perry's Why Did I
Get Married Too?
Tooth Fairy
Secretariat
Easy A
Takers
Legend of the Guardians:
The Owls of Ga'Hoole
Life as We Know It
Letters to Juliet
Wall Street: Money Never
Sleeps
Predators
Hot Tub Time Machine
Kick-Ass
Killers

1.36
0.01
0.98
1.24

0.02
0.01
-0.01
-0.03

0.00
-0.96
-0.29
0.89

0.07
0.02
0.02
0.07

0.90
1.29

-0.03
-0.06

0.39
0.47

0.02
0.24

1.68
0.94
0.96
1.26
1.06
0.83
0.97
0.68
0.86
0.91
0.73
1.36

-0....


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