Find descriptive statistics, including the mean, median, mode, range, standard deviation, and quartiles, for each of the four variables described above. Discuss what the statistics you find tell us about the movie industry.
Find descriptive statistics, including the mean, median, mode, range, standard deviation, and quartiles, for each of the four variables described above. Discuss what the statistics you find tell us about the movie industry.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Topic Video
Question
- Find
descriptive statistics , including the mean,median ,mode ,range , standard deviation, andquartiles , for each of the four variables described above. Discuss what the statistics you find tell us about the movie industry.
- According to Total Gross Sales, what movies if any, should be considered high-performance outliers? Explain how you arrived at your answer mathematically. (Use the method on 134 for detecting outliers.) Round any calculations/data to two decimal values.
- Compute descriptive statistics showing the relationship between total gross sales and each of the other variables. These need to include the
covariance andcorrelation coefficient . Discuss the relationships.
| Movie Title | Opening Gross Sales ($ millions) | Total Gross Sales ($ millions) | Number of Theaters | Weeks in Release |
| Rogue One: A Star Wars Story | 155.08 | 532.18 | 4,157 | 20 |
| Finding Dory | 135.06 | 486.30 | 4,305 | 25 |
| Captain America: Civil War | 179.14 | 408.08 | 4,226 | 20 |
| The Secret Life of Pets | 104.35 | 368.38 | 4,381 | 25 |
| The Jungle Book (2016) | 103.26 | 364.00 | 4,144 | 24 |
| Deadpool | 132.43 | 363.07 | 3,856 | 18 |
| Zootopia | 75.06 | 341.27 | 3,959 | 22 |
| Batman v Superman: Dawn of Justice | 166.01 | 330.36 | 4,256 | 12 |
| Suicide Squad | 133.68 | 325.10 | 4,255 | 14 |
| Sing | 35.26 | 270.40 | 4,029 | 20 |
| Moana | 56.63 | 248.76 | 3,875 | 22 |
| Fantastic Beasts and Where To Find Them | 74.40 | 234.04 | 4,144 | 19 |
| Doctor Strange | 85.06 | 232.64 | 3,882 | 19 |
| Hidden Figures | 0.52 | 169.61 | 3,416 | 46 |
| Jason Bourne | 59.22 | 162.43 | 4,039 | 21 |
| Star Trek Beyond | 59.25 | 158.85 | 3,928 | 13 |
| X-Men: Apocalypse | 65.77 | 155.44 | 4,153 | 9 |
| Trolls | 46.58 | 153.71 | 4,066 | 21 |
| La La Land | 0.88 | 151.10 | 3,236 | 20 |
| Kung Fu Panda 3 | 41.28 | 143.53 | 3,987 | 25 |
| Ghostbusters (2016) | 46.02 | 128.35 | 3,963 | 17 |
| Central Intelligence | 35.54 | 127.44 | 3,508 | 11 |
| The Legend of Tarzan | 38.53 | 126.64 | 3,591 | 11 |
| Sully | 35.03 | 125.07 | 3,955 | 20 |
| Bad Moms | 23.82 | 113.26 | 3,215 | 13 |
| The Angry Birds Movie | 38.16 | 107.51 | 3,932 | 17 |
| Independence Day: Resurgence | 41.04 | 103.14 | 4,130 | 12 |
| The Conjuring 2 | 40.41 | 102.47 | 3,356 | 11 |
| Arrival | 24.07 | 100.55 | 3,115 | 17 |
| Passengers (2016) | 14.87 | 100.01 | 3,478 | 17 |
| Sausage Party | 34.26 | 97.69 | 3,135 | 19 |
| The Magnificent Seven (2016) | 34.70 | 93.43 | 3,696 | 15 |
| Ride Along 2 | 35.24 | 91.22 | 3,192 | 22 |
| Don't Breathe | 26.41 | 89.22 | 3,384 | 17 |
| Miss Peregrine's Home for Peculiar Children | 28.87 | 87.24 | 3,835 | 19 |
| The Accountant | 24.71 | 86.26 | 3,402 | 13 |
| Teenage Mutant Ninja Turtles: Out of the Shadows | 35.32 | 82.05 | 4,071 | 14 |
| The Purge: Election Year | 31.52 | 79.21 | 2,821 | 15 |
| Alice Through the Looking Glass | 26.86 | 77.04 | 3,763 | 14 |
| Pete's Dragon (2016) | 21.51 | 76.23 | 3,702 | 18 |
| The Girl on the Train (2016) | 24.54 | 75.40 | 3,241 | 12 |
| Boo! A Madea Halloween | 28.50 | 73.21 | 2,299 | 9 |
| Storks | 21.31 | 72.68 | 3,922 | 16 |
| 10 Cloverfield Lane | 24.73 | 72.08 | 3,427 | 12 |
| Lights Out | 21.69 | 67.27 | 2,835 | 10 |
| Hacksaw Ridge | 15.19 | 67.21 | 2,971 | 18 |
| The Divergent Series: Allegiant | 29.03 | 66.18 | 3,740 | 11 |
| Now You See Me 2 | 22.38 | 65.08 | 3,232 | 11 |
| Ice Age: Collision Course | 21.37 | 64.06 | 3,997 | 15 |
| The Boss | 23.59 | 63.29 | 3,495 | 17 |
| London Has Fallen | 21.64 | 62.68 | 3,492 | 13 |
| Miracles from Heaven | 14.81 | 61.71 | 3,155 | 18 |
| Deepwater Horizon | 20.22 | 61.43 | 3,403 | 11 |
| Why Him? | 11.00 | 60.32 | 3,008 | 13 |
| My Big Fat Greek Wedding 2 | 17.86 | 59.69 | 3,179 | 9 |
| Jack Reacher: Never Go Back | 22.87 | 58.70 | 3,780 | 12 |
| Fences | 0.13 | 57.68 | 2,368 | 15 |
| Me Before You | 18.72 | 56.25 | 2,762 | 11 |
| The BFG | 18.78 | 55.48 | 3,392 | 15 |
| Neighbors 2: Sorority Rising | 21.76 | 55.46 | 3,416 | 8 |
| The Shallows | 16.80 | 55.12 | 2,962 | 14 |
| Office Christmas Party | 16.89 | 54.77 | 3,210 | 7 |
| Assassin's Creed | 10.28 | 54.65 | 2,996 | 11 |
| Barbershop: The Next Cut | 20.24 | 54.03 | 2,676 | 13 |
| 13 Hours: The Secret Soldiers of Benghazi | 16.19 | 52.85 | 2,917 | 10 |
| Lion | 0.12 | 51.74 | 1,802 | 24 |
| The Huntsman: Winter's War | 19.45 | 48.39 | 3,802 | 15 |
| Kubo and the Two Strings | 12.61 | 48.02 | 3,279 | 15 |
| Manchester by the Sea | 0.26 | 47.70 | 1,213 | 23 |
| Warcraft | 24.17 | 47.37 | 3,406 | 13 |
| How to Be Single | 17.88 | 46.84 | 3,357 | 9 |
| Mike and Dave Need Wedding Dates | 16.63 | 46.01 | 3,008 | 14 |
| War Dogs | 14.69 | 43.03 | 3,258 | 9 |
| Almost Christmas | 15.13 | 42.16 | 2,379 | 9 |
| Money Monster | 14.79 | 41.01 | 3,104 | 12 |
| Allied | 12.70 | 40.10 | 3,160 | 9 |
| Nerve | 9.45 | 38.58 | 2,538 | 10 |
| Risen | 11.80 | 36.88 | 2,915 | 13 |
| The Nice Guys | 11.20 | 36.26 | 2,865 | 11 |
| The Boy (2016) | 10.78 | 35.82 | 2,671 | 10 |
| Dirty Grandpa | 11.11 | 35.59 | 2,912 | 8 |
| Ouija: Origin of Evil | 14.07 | 35.14 | 3,168 | 10 |
| The 5th Wave | 10.33 | 34.92 | 2,908 | 18 |
| Inferno | 14.86 | 34.34 | 3,576 | 12 |
| Mother's Day | 8.37 | 32.49 | 3,291 | 7 |
| Patriots Day | 0.16 | 31.89 | 3,120 | 11 |
| Gods of Egypt | 14.12 | 31.15 | 3,117 | 11 |
| Collateral Beauty | 7.10 | 31.02 | 3,028 | 8 |
| Hail, Caesar! | 11.36 | 30.50 | 2,248 | 21 |
| When the Bough Breaks | 14.20 | 29.75 | 2,246 | 10 |
| Zoolander 2 | 13.84 | 28.85 | 3,418 | 7 |
| Moonlight (2016) | 0.40 | 27.85 | 1,564 | 28 |
| The Finest Hours | 10.29 | 27.57 | 3,143 | 10 |
| Florence Foster Jenkins | 6.60 | 27.38 | 1,528 | 11 |
| Hell or High Water | 0.62 | 27.01 | 1,505 | 14 |
| The Forest | 12.74 | 26.59 | 2,509 | 10 |
| Ben-Hur (2016) | 11.20 | 26.41 | 3,084 | 7 |
| The Witch | 8.80 | 25.14 | 2,204 | 14 |
| Bridget Jones's Baby | 8.57 | 24.25 | 2,930 | 13 |
| Kevin Hart: What Now? | 11.77 | 23.59 | 2,567 | 9 |
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman