Please answer number 9. All steps!! Make sure to show work!! Answer quickly!

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Please answer number 9. All steps!! Make sure to show work!! Answer quickly!
6. Basic Computation: Range, Standard Deviation Consider the data set
1
4 5
2 3
(a) Find the range.
(b) Use the defining formula to compute the sample standard deviation s.
(c) Use the defining formula to compute the population standard deviation o.
7. Which value is ng for a given dap set in which not all data values are equal,
smaller, s or o? Explain.
8. Critical Thinking Consider two data sets with equal sample standard
deviations. The first data set has 20 data values that are not all equal, and
the second has 50 data values that are not all equal. For which data set is the
difference between s and a greater? Explain. Hint: Consider the relationship
a = sVn − 1)/n.
9. | Critical Thinking Each of the following data sets has a mean of x = 10.
(i) 8 9 10 11 12
(ii) 7 9 10 11 13
(iii) 7 8 10 12 13
(a) Without doing any computations, order the data sets according to increas-
ing value of standard deviations.
(b) Why do you expect the difference in standard deviations between data
sets (i) and (ii) to be greater than the difference in standard deviations
between data sets (ii) and (iii)? Hint: Consider how much the data in the
respective sets differ from the mean.
Transcribed Image Text:6. Basic Computation: Range, Standard Deviation Consider the data set 1 4 5 2 3 (a) Find the range. (b) Use the defining formula to compute the sample standard deviation s. (c) Use the defining formula to compute the population standard deviation o. 7. Which value is ng for a given dap set in which not all data values are equal, smaller, s or o? Explain. 8. Critical Thinking Consider two data sets with equal sample standard deviations. The first data set has 20 data values that are not all equal, and the second has 50 data values that are not all equal. For which data set is the difference between s and a greater? Explain. Hint: Consider the relationship a = sVn − 1)/n. 9. | Critical Thinking Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) Without doing any computations, order the data sets according to increas- ing value of standard deviations. (b) Why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? Hint: Consider how much the data in the respective sets differ from the mean.
Expert Solution
steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman