ecall that Chebyshev's Theorem states that for any set of data and for any constant k greater than 1, the roportion of the data that must lie within k standard deviations on either side of the mean is at least 1- herefore, for sample data with mean x and standard deviation s, at least 1- of data must fall between ks and x+ ks. When k 2, we have the following. 1. or Therefore, for any set of data, at least 75% of the data must fall between x- 2s and x + ( or, in other words, within standard deviations of the mean.

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
icon
Concept explainers
Topic Video
Question
(b) Compute a 75% Chebyshev interval around the sample mean.
Recall that Chebyshev's Theorem states that for any set of data and for any constant k greater than 1, the
proportion of the data that must lie within k standard deviations on either side of the mean is at least 1-
Therefore, for sample data with mean x and standard deviation s, at least 1-
of data must fall between
X- ks and x + ks.
When k- 2, we have the following.
22
1-
or
Therefore, for any set of data, at least 75% of the data must fall between x - 2s and x + ( Os,
or, in other words, within
standard deviations of the mean.
Transcribed Image Text:(b) Compute a 75% Chebyshev interval around the sample mean. Recall that Chebyshev's Theorem states that for any set of data and for any constant k greater than 1, the proportion of the data that must lie within k standard deviations on either side of the mean is at least 1- Therefore, for sample data with mean x and standard deviation s, at least 1- of data must fall between X- ks and x + ks. When k- 2, we have the following. 22 1- or Therefore, for any set of data, at least 75% of the data must fall between x - 2s and x + ( Os, or, in other words, within standard deviations of the mean.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Centre, Spread, and Shape of a Distribution
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