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INSTRUCTIONS ATTACHED Module 2 Statistics and Technology Assignment 1. The lengths in minutes of the top 45 movies streamed worldwide in 2023 are

April 27, 2025

INSTRUCTIONS ATTACHED

Module 2 Statistics and Technology Assignment

1. The lengths in minutes of the top 45 movies streamed worldwide in 2023 are in the table below

Movie Title	Length (minutes)
Moana	107
Encanto	102
The Super Mario Bros. Movie	92
Elemental	102
Minions: The Rise of Gru	87
Sing 2	110
Frozen	102
Black Panther: Wakanda Forever	161
Avatar: The Way of Water	192
Glass Onion: A Knives Out Mystery	139
Barbie	114
Oppenheimer	180
John Wick: Chapter 4	169
The Little Mermaid	135
Spider-Man: Across the Spider-Verse	140
Dungeons & Dragons: Honor Among Thieves	134
The Holdovers	133
Killers of the Flower Moon	206
The Hunger Games: The Ballad of Songbirds & Snakes	157
Mission: Impossible – Dead Reckoning Part One	163
Indiana Jones and the Dial of Destiny	154
Scream VI	123
The Artifice Girl	93
Poor Things	141
The Zone of Interest	106
Past Lives	106
Wonka	120
The Coffee Table	95
In the Land of Saints and Sinners	108
Tabby McTat	30
Saltburn	131
Robot Dreams	110
Napoleon	158
Sisu	91
Hit Man	113
Missing	111
White Bird	120
Maestro	129
Fair Play	113
Rustin	130
Chicken Run: Dawn of the Nugget	97
Thanksgiving	107
Poolman	100
Godzilla Minus One	125
Talk to Me	95

Source:
List of 2023 Movies and TV Shows | Reelgood

a. Construct a box-plot for the length of the movies

b. Find the following values of the movie lengths

Minimum

Maximum

Median

IQR

2. An auto transporter recorded the weights of 30 sports cars

3959	2868	3577	2606	3956	3384
3393	3679	3867	2578	2523	3834
2578	3326	3504	2841	2713	3457
3059	2959	3714	2554	3095	3771
2542	3425	3942	3897	3474	3594

a. Find the mean of the sample weights. Round to two decimal places.

b. Find the standard deviation of the sample weights. Round to two decimal places.

c. Construct one standard deviation of the mean.

d. What percent of the truck weights were within one standard deviation of the mean?

3. Members of the House of Representatives are elected in even numbered years to begin office in odd numbered years as shown in the chart below.

Years	Year Position Began	Number of Men
1975–1977	1975	416
1977–1979	1977	417
1979–1981	1979	419
1981–1983	1981	414
1983–1985	1983	413
1985–1987	1985	412
1987–1989	1987	412
1989–1991	1989	406
1991–1993	1991	405
1993–1995	1993	387
1995–1997	1995	385
1997–1999	1997	379
1999–2001	1999	377
2001–2003	2001	373
2003–2005	2003	372
2005–2007	2005	364
2007–2009	2007	357
2009–2011	2009	356
2011–2013	2011	356
2013–2015	2013	353
2015–2017	2015	347
2017–2019	2017	346
2019–2021	2019	334
2021–2023	2021	309
2023–2025	2023	308

Published by Statista Research Department and 5, J. (2024)
House of Representatives Women by Party U.S. 2023,
Statista. Available at:

a. Produce a scatterplot of the data. Include the line of best fit on the graph.

b. Give the line of best fit for the data and the correlation coefficient rounded to 4 decimal places. Is the correlation positive, negative, weak, strong?

c. Is the number of men increasing or decreasing? By how is the number of men changing per year?

d. Based on the line of best fit, predict the number of men that will be in the House of Representatives in 2027.

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