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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Find the range, sample standard deviation and inter-quartile range (IQR) of the following data set.

21 55 55 57 58 63 70 76 81 93



range =  (Please enter an exact answer.)

 

standard deviation (ss) =  (Round to one decimal place.)

IQR =  (Please enter an exact answer.)

A new number, 252, is added to the data set above. Find the range, sample standard deviation and IQR of the new data set.

range =  (Please enter an exact answer.)

standard deviation =  (Round to one decimal place.)

IQR =  (Please enter an exact answer.)

Which measure of spread is less affected by the addition of the extreme observation?

  • IQR
  • Range
  • standard deviation
Expert Solution
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Step 1: Introduction

The formula's are 

range (R)=maximun value-minimum valuestandard deviation (sd)=i=1nxi-x2n-1mean(x)=xii=1nnIQR=Q3-Q1

Now, let us sort our data in ascending order,

21, 55, 55, 57, 58, 63, 70, 76, 81, 93

Now, let first calculate mean

mean(x)=21+55+55+57+58+63+70+76+81+9310=62.9

Now, standard deviation 

sd=21-62.92+...+(93-62.9)210-1=19.42192

Range=93-21=72

Q1=55Q3=76IQR=76-55=21

 

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