MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Use the accompanying data set to complete the following actions.
a. Find the quartiles.
b. Find the interquartile range.
c. Identify any outliers.
 
61  63  63  57  55  54  61  58  61  63  63  58  60  58  78
 
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Step 1

We organize the given data in ascending order

58 55 57 58 58 58 60 61 61 61 63 63 63 63 78

Here there are 15 observations.

Thus the median is given by

Q2=15+12thvalue=8thvalue=61

First quartile is given by

Q1=82th value +82+1thvalue2=4thvalue +5thvalue2=58+582=58

Third quartile is given by

Q3=8+822value +8+82+1thvalue2=12thvalue +13thvalue2=63+632=63

 

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