3. The range is completely determined by the two extreme scores in a distribution. The standard deviation, on the other hand, uses every score. a) compute the range (choose either definition) and the standard deviation for the following sample of n = 5 scores. (note that there are three scores clustered around the mean in the center of the distribution, and two extreme values. SCORES = 0, 6, 7, 8, 14 b) now we break up the cluster in the center of the distribution by moving two of the central Scores out to the extremes. Compute the range and the standard deviation. SCORES = 0, 0, 7, 14, 14 c) according to the range, how do the two distributions compare in variability? How do they compare according to the standard deviation?

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
100%
3. The range is completely determined by the two extreme scores in a distribution. The
standard deviation, on the other hand, uses every score. a) compute the range (choose either
definition) and the standard deviation for the following sample of n 5 scores. (note that there
are three scores clustered around the mean in the center of the distribution, and two extreme
values. SCORES = 0, 6, 7, 8, 14
b) now we break up the cluster in the center of the distribution by moving two of the central
scores out to the extremes. Compute the range and the standard deviation. SCORES = 0, 0, 7,
14, 14
c) according to the range, how do the two distributions compare in variability? How do they
compare according to the standard deviation?
Transcribed Image Text:3. The range is completely determined by the two extreme scores in a distribution. The standard deviation, on the other hand, uses every score. a) compute the range (choose either definition) and the standard deviation for the following sample of n 5 scores. (note that there are three scores clustered around the mean in the center of the distribution, and two extreme values. SCORES = 0, 6, 7, 8, 14 b) now we break up the cluster in the center of the distribution by moving two of the central scores out to the extremes. Compute the range and the standard deviation. SCORES = 0, 0, 7, 14, 14 c) according to the range, how do the two distributions compare in variability? How do they compare according to the standard deviation?
Expert Solution
Step 1

Given,

Measure of variations are:

Range= Maximum- Minimum

Standard deviations= 1n-1(Xi-X-1)2

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
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