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.

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 and correlation 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

Question

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.

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 and correlation 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

Accepted Answer

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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.