MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Bartleby Related Questions Icon

Related questions

Question

10) Solve all parts of the question correctly, please.

Consider the following four data sets in the table below. Complete parts (a) through (g) below.
Click the icon to view the four data sets.
Data sets
a. Compute the mean of each data set.
x (Data Set I)
x (Data Set II)
Data Set I
Data Set II
Data Set II
Data Set IV
%3D
=
1
1
9.
2
x (Data Set III)
x (Data Set IV)
2
6
1
9
3
6
8.
1
9
3
6.
(Type integers or decimals. Do not round.)
9.
1
9.
3
8
4
9.
1
10
b. Although the four data sets have the same means, in what respect are they quite different?
O A. Each data set has a unique median.
O B. The amount of variation within each data set differs among the data sets.
Print
Done
O C. The amount of variation within each data set is the same among the data sets, but with different values.
D. The data sets are not different as the four data sets are identical.
expand button
Transcribed Image Text:Consider the following four data sets in the table below. Complete parts (a) through (g) below. Click the icon to view the four data sets. Data sets a. Compute the mean of each data set. x (Data Set I) x (Data Set II) Data Set I Data Set II Data Set II Data Set IV %3D = 1 1 9. 2 x (Data Set III) x (Data Set IV) 2 6 1 9 3 6 8. 1 9 3 6. (Type integers or decimals. Do not round.) 9. 1 9. 3 8 4 9. 1 10 b. Although the four data sets have the same means, in what respect are they quite different? O A. Each data set has a unique median. O B. The amount of variation within each data set differs among the data sets. Print Done O C. The amount of variation within each data set is the same among the data sets, but with different values. D. The data sets are not different as the four data sets are identical.
c. Which data set appears to have the least variation? the greatest variation?
Data set
V appears to have the least variation. Data set
V appears to have the greatest variation.
d. Compute the range of each data set.
Range (Set I)
Range (Set II)
Range (Set III)
Range (Set IV)
(Type integers or decimals. Do not round.)
e. Use the defining formula to compute the sample standard deviation of each data set.
s (Set I)
s (Set II)
%3D
s (Set III)
s (Set IV)
(Type integers or decimals. Round to one decimal place as needed.)
f. From your answers to parts (d) and (e), which measure of variation better distinguishes the spread in the four data sets: the range or the standard deviation? Explain your answer.
O A. The range distinguishes spread better because it shows that having different standard deviations doesn't imply that the means must be different.
O B. The standard deviation distinguishes spread better because it is resistant to outliers, and is therefore more robust than the range.
OC. The range distinguishes spread better because it shows that the sets are structurally similar, because their extrema are equally spread out.
O D. The standard deviation distinguishes spread better because it shows that the sets are structurally different, despite having similar ranges and means.
expand button
Transcribed Image Text:c. Which data set appears to have the least variation? the greatest variation? Data set V appears to have the least variation. Data set V appears to have the greatest variation. d. Compute the range of each data set. Range (Set I) Range (Set II) Range (Set III) Range (Set IV) (Type integers or decimals. Do not round.) e. Use the defining formula to compute the sample standard deviation of each data set. s (Set I) s (Set II) %3D s (Set III) s (Set IV) (Type integers or decimals. Round to one decimal place as needed.) f. From your answers to parts (d) and (e), which measure of variation better distinguishes the spread in the four data sets: the range or the standard deviation? Explain your answer. O A. The range distinguishes spread better because it shows that having different standard deviations doesn't imply that the means must be different. O B. The standard deviation distinguishes spread better because it is resistant to outliers, and is therefore more robust than the range. OC. The range distinguishes spread better because it shows that the sets are structurally similar, because their extrema are equally spread out. O D. The standard deviation distinguishes spread better because it shows that the sets are structurally different, despite having similar ranges and means.
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman