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MATLAB: An Introduction with Applications
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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a.) The observations are 35,50,60,60,75,65,80. The number of data in the set is n=7(odd). Range is the difference between the highest and lowest value from the observations. The highest is 80. The lowest is 35. Hence, Range=80-35=45. The sorted data set is 35,50,60,60,65,75,80. Then the median is ((n+1)/2)th observation,i.e.,4th observation.Hence, median=60. The mode of the data is that value having the maximum frequency. Here, 60 appears twice which is maximum. Hence, mode=60. The mean is calculated as:

x=∑i=17xi7=35+50+60+60+65+75+807=4257=60.7143≈60.7

x x-x (x-x)2
35 -25.7 660.49
50 -10.7 114.49
60 -0.7 0.49
60 -0.7 0.49
65 4.3 18.49
75 14.3 204.49
80 19.3 372.49

Hence,

variance=17-1∑i=17(xi-x)2=1371.436=228.57standard deviation=variance=228.57=15.12

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