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
Q1
Median
Q3
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: https://www.statista.com/statistics/1358354/women-house-representatives-party-us/
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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