(a) By hand or with Minitab, calculate sample statistics for the mean, median, range, variance, and standard deviation using the running time data. (b) The sample range is almost 1 hour. What data point is the main influence behind this large range?(c) When plotted, the movie running times are fairly symmetric. How can you tell this without graphing the running times The following table shows the running times (in minutes) of a sample of videotape versions of n= 22 movies directedby Alfred Hitchcock. Movies are listed in alphabetical order. The data are in the Minitab columns "Hitchcock Movies"and "Running Times."FilmTimeFilmTimeThe Birds119Psycho108Dial M for Murder105Rear Window113Family Plot120Rebecca132Foreign Correspondent120Rope81Frenzy116Shadow of a Doubt108I Confess108Spellbound111The Man Who Knew Too Much120 Strangers on a Train101Marnie130To Catch a Thief103North by Northwest136Topaz126Notorious103Under Capricorn117The Paradise Cane116Vertigo128(a) By hand or with Minitab, calculate sample statistics for the mean, median, range, variance, and standarddeviation using the running time data.(b) The sample range is almost 1 hour. What data point is the main influence behind this large range?(c) When plotted, the movie running times are fairly symmetric. How can you tell this without graphing the runningtimes?

Answered: Image /qna-images/answer/c50fb53a-2ba9-4de5-99cb-e01fc30a6504.jpg

Answered: The following table shows the running…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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(a) By hand or with Minitab, calculate sample statistics for the mean, median, range, variance, and standard deviation using the running time data. (b) The sample range is almost 1 hour. What data point is the main influence behind this large range? (c) When plotted, the movie running times are fairly symmetric. How can you tell this without graphing the running times

The following table shows the running times (in minutes) of a sample of videotape versions of n= 22 movies directed
by Alfred Hitchcock. Movies are listed in alphabetical order. The data are in the Minitab columns "Hitchcock Movies"
and "Running Times."
Film
Time
Film
Time
The Birds
119
Psycho
108
Dial M for Murder
105
Rear Window
113
Family Plot
120
Rebecca
132
Foreign Correspondent
120
Rope
81
Frenzy
116
Shadow of a Doubt
108
I Confess
108
Spellbound
111
The Man Who Knew Too Much
120 Strangers on a Train
101
Marnie
130
To Catch a Thief
103
North by Northwest
136
Topaz
126
Notorious
103
Under Capricorn
117
The Paradise Cane
116
Vertigo
128
(a) By hand or with Minitab, calculate sample statistics for the mean, median, range, variance, and standard
deviation using the running time data.
(b) The sample range is almost 1 hour. What data point is the main influence behind this large range?
(c) When plotted, the movie running times are fairly symmetric. How can you tell this without graphing the running
times?

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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