Given the following data sets. Data Set I 41 44 45 47 47 48 51 53 58 66 Data Set II 20 37 48 48 49 50 53 61 64 70 The sample mean and sample standard deviation are as follows: Data Set I Data Set II i = 50.0 s = 14.2 i = 50.0 s = 7.4 a. Which data set has a larger variation? (justify your answer) b. Is Chebyshev' rule verified for these two data sets. (Justify your answer graphically).
Given the following data sets. Data Set I 41 44 45 47 47 48 51 53 58 66 Data Set II 20 37 48 48 49 50 53 61 64 70 The sample mean and sample standard deviation are as follows: Data Set I Data Set II i = 50.0 s = 14.2 i = 50.0 s = 7.4 a. Which data set has a larger variation? (justify your answer) b. Is Chebyshev' rule verified for these two data sets. (Justify your answer graphically).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Exercise 3:
1. Recall the Chebyshev' rule.
2. Given the following data sets.
Set I 41
Data
44
45
47 47
48
51
53
58
66
Data Set II
20
37
48
48 49
50
53 61
64
70
The sample mean and sample standard deviation are as follows:
Data Set I
Data Set II
i = 50.0
s = 14.2
i = 50.0
%3D
s = 7.4
a. Which data set has a larger variation? (justify your answer)
b. Is Chebyshev' rule verified for these two data sets. (Justify your answer graphically).
c. What can we conclude?
3.
In 1903, K. Pearson and A. Lee published the paper "On the Laws of Inheritance in Man. I.
Inheritance of Physical Characters" (Biometrika, Vol. 2, pp. 357–462). The article examined data on
forearm length, in inches, for a sample of 140 men. The mean and standard deviation of the forearm
lengths are 18.8 in. and 1.12 in., respectively.
a. Apply Chebyshev’s rule with k = 2 to make pertinent statements about the forearm lengths
of the men in the sample.
b. Repeat part (a) with k = 3.
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