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
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:
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.