1. Consider the following two data sets. Data Set I : 8 16 20 35 Data Set II : 5 13 17 32 Note that each value of the second data set is obtained by substracting 3 from the corresponding value of the first data set. Calculate the mean for each of these two data sets. Comment on the relationship between the two means. (ii) Calculate the standard deviation for each of these two data sets. Comment on the relationship between the two standard deviations. (iii) Determine when is the value of standard deviation for a data set zero? Give one example and show its value is zero.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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1.
Consider the following two data sets.
Data Set I : 8
16
20
35
Data Set II : 5
13
17
32
Note that each value of the second data set is obtained by substracting 3 from the
corresponding value of the first data set.
(i)
Calculate the mean for each of these two data sets. Comment on the
relationship between the two means.
(ii)
Calculate the standard deviation for each of these two data sets. Comment on
the relationship between the two standard deviations.
(iii) Determine when is the value of standard deviation for a data set zero? Give
one example and show its value is zero.
Transcribed Image Text:1. Consider the following two data sets. Data Set I : 8 16 20 35 Data Set II : 5 13 17 32 Note that each value of the second data set is obtained by substracting 3 from the corresponding value of the first data set. (i) Calculate the mean for each of these two data sets. Comment on the relationship between the two means. (ii) Calculate the standard deviation for each of these two data sets. Comment on the relationship between the two standard deviations. (iii) Determine when is the value of standard deviation for a data set zero? Give one example and show its value is zero.
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