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MA 2025 ASSN

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.

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